Áreas totais e volumes de pirâmides, prismas e corpos redondos

Pirâmides
Área[br][br][list][*]Área da base (A[sub]base[/sub]): área da superfície poligonal que forma a base.[/*][*]Área lateral (A[sub]lateral[/sub]): soma das áreas das faces laterais (superfícies triangulares).[/*][*]Área total (A[sub]total[/sub]): soma da área lateral com a área da base.[br][br]A área total pode ser expressa da seguinte forma:[/*][/list][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAArUAAACqCAYAAACzv7cmAAAgAElEQVR4Ae29B5gVxda23f97jlmPYs4JEyAGRECiJEERAVFEUIIJkaSiSM4ZBImKGFBAVFQQQRRREVQUUZKIBMk5w+T4/N/dbcNmmBlmhplhh8V1NXtP7w5VT1V33bVq1SpH9s8UMAVMAVPAFDAFTAFTwBQIcQWcEE+/Jd8UMAVMAVPAFDAFTAFTwBSQQa1VAlPAFDAFTAFTwBQwBUyBkFfAoDbki9AyYAqYAqaAKWAKmAKmgClgUGt1wBQwBUwBU8AUMAVMAVMg5BUwqA35IrQMmAKmgClgCpgCpoApYAoY1FodMAVMAVPAFDAFTAFTwBQIeQUMakO+CC0D+aVAqlKUkppsm2lgdSBE6wDPsP0zBUyB8FXAoDZ8y9ZylosKJKcmKipxl3bErtaW6L+0OepP20wDqwMhUge2Rv+lnbH/uM8wz7L9MwVMgfBUwKA2PMvVcpWLCuyN36zftk/W5NXtNe6vp/XW8iYa+2cj20wDqwMhUgfe+rOJ3vurmT5e/Yp+2jpe+xO25eIbwi5lCpgCwaKAQW2wlISlI+gUSE5N0toDv2nGugGiURy15GGNWFxHwxfXts00sDoQYnVgxOIH3Wf47eVNNWNdf208uNh1Iwm6F48lyBQwBXKsgEFtjqWzE8NdgX8O/Kppa3trzLIGBjAhBjDW8bCOV0Z1gI7pG8sa6LM1XbU5aplSU83PNtzf5Za/yFHAoDZyytpymg0FcDn4esMQjVnW0IDWgNbqQBjWgTeWPqrZG0coLjlKqUrNxtvBDjUFTIFgVcCgNlhLxtJ1whSggVu2+2uNX9HCYCYMYSYjC57tjyzr7oglD+rdv57WugMLlZSScMLeN3ZjU8AUyD0FDGpzT0u7UpgokJKapG83jtSbyx4zqDWotToQxnVg5JKH9M2GEYpNOhAmby/LhikQ2QoY1EZ2+Vvu01EAq820f3q6k0rMehdZ1jsr78gqb/xrxy1/RgcTdqbzJrBdpoApEGoKGNSGWolZevNcgcSUeH2yuqOYLW2QE1mQY+UdeeWNtXZ/wvY8f6/YDUwBUyDvFTCozXuN7Q4hpkBiSpw+WtXOgDaMh50NXiMPXjMrc4tbG2IvaUuuKZCBAga1GQhjuyNXAYNaA57MAMh+C7/6YVAbue97y3l4KWBQG17labnJBQUMasMPWgxErUwzqwMGtbnw4rRLmAJBoIBBbRAUgiUhuBQwqDUAygyA7Lfwqx8GtcH1DrbUmAI5VcCgNqfK2Xlhq4BBbfhBi4GolWlmdcCgNmxf55axCFPAoDbCCtyye2wFDGoNgDIDIPst/OqHQe2x34t2hCkQCgoY1IZCKVka81UBg9rwgxYDUSvTzOqAQW2+vmLtZqZAnilgUJtn0tqFQ1UBg1oDoMwAyH4Lv/phUBuqb2tLtylwpAIGtUfqYX+ZAgoFqB22qJb6z6uhxv2K65FOt6rNu+U04McaERNb99Vfa6r95Ep6pPNtatD9dvX4qppe+71WxOQ/O2CNVu0m3a1Hu92ux/vcoU5TKptOaWIwG9Tai98UCA8FDGrDoxwtF7moQChA7eBfaurJISV03mWn6//+8/+pVJ2rIgZWhi2qrc5Tq6hCg4I6+bT/6NQzTtKTQ0oKTbIDe5FybJfPq6jiYwV1yhn/1bmXna7abW82nQxqc/GNaZcyBYJHAYPa4CkLS0mQKBDsUItFssu0Krrprgt18bVn6bSzTlKRchfr5Q/ujghYGfjT/Xqs9x264MozdOn1/9N/T/4/1Xn5Zg0ME0s10D7ktwdEPocuPD7r89DfHlDj/sV1XfHzVeDi09z6UrLWlRFRT7LTaTFLbZC8fC0ZpsBxKmBQe5wC2unhp0CwQ23/H+5T/a636+RT/6N7m92oG0qer4LFzlObd8qFPawM+6OW2k6ooOI1rtBlN56tep1u1Umn/kcVGlyrfnPuC4v84y7QcUplPflqCfX8urqA3OwA2qFjsWhPq6LSda/WNbeeq4qPX6ci5S7Stbeeq9f+OD5YPnSPNBbPUN1vUBt+73HLUWQqYFAbmeVuuc5EgWCGWqy07T6sqBtLXqBzLjpNL02ooIqPF3Stls2Gl8oZ/OQBmPjWxkE/36/MNgAuO4CF3/BDHW7RRdecpTvuvVztJ1fU+Zef7urR65vqQZP/44G73rOrq/YLRXTWeafoqddK5thXGG1rti6sS6/7n8rXv0Yt3iit4vdernMvPV29vz0OWM6D+nI8euXGuQa1mbwQ7SdTIIQUMKgNocKypOaPAsEMtX3n3Kd6HW/VmeecrLsevMr1I324w60qcMnpatCjWND4lfb97l7d91whnXL6fzPdilW/TC+8Vz7LMMqEuFsqXaIrixTQM8NLqdes6rr+zvNdUOs+854sXyc3QCivrpFbUMvksFsrX6orby6ghj2KuT7X5etfq3MuPE0vTawgrN55lYdQu65Bbf68W+0upkBeK2BQm9cK2/VDToFghVr8I58deZc77H510QLq9uU97tB067fK6uJrzlK1p290owAEA1AMWVBTr3xcUY36Fs90a/12OQHAWUkz1sV7nrpBl1z3P1V94gbXAtzvh/t0d8OCrgvCixMqaOjCB7J0razc70Qdk1tQe2/zm3T+5Weo/KPXqufX1YQl+4E2hXX2Bafo8d53HLe/7onSJy/ua1Abcq9pS7ApkK4CBrXpymI7I1mBYIXazp9XUaVG17lWyRotCh0atu/+5T2u5bLkA1fqlY8qBgXUue4HCx5ww4zhMpDRRsSCrITi4pimA+90fYcLlblQrcaW1fBFtd3JVHVfKepOFnti0J0a9NP9QZH/7IAXIA500gnAtQQ3AUD9jHNOVp2Xi+qliXe7+/ltwLxjh21D+zZvl9X1xc/XDSUv0NPDPBcGfI7rd7lNZ194qu5tdpM7GS076QznYw1qI/mNb3kPJwUMasOpNC0vuaJAMEIts+GZOHRV0QK6+pYCbtxRHzL6fn+vbihxgbu1eKNMyEGdn4/MPrEyEsLrkoJnudZaf1IYUPz0ayV10in/0QPPF1GfLFp9M7tXfv/Wf+59evDloipc9iIVvOM8XX3LuTrv8jP0n5P+T5cU/J8L8uxny8pkwP5zawg3AyJj3Nf8JheYyRPRIYiEQBSEkjWvDBpXlfzWO737GdTmyqvTLmIKnHAFDGpPeBFYAoJNgWCE2g6fVlK5R67RqWf+150ghlW2bL1r3K1U7atcUGGoucn/gxYWZiAUFFESgMGs+E4yqYhh76zEegWim4++S81H3pUhQBOO6plhpQ6l0U9r2k8WT+j6RdUMrwOAkH6Gy68sco5O/99Juua2c1Xmoavda5epe7VurnCxG6u39INXCas1E8+wduL60GlqlUyvjbUXqCRPry7IfdcFygCXEcolPZhiH5oDqyyOgL/0A60L69ZKl+jUM/7r5vOh9re4+/mt24xj+w1zv8tvOtsN9XbdHee7vtfojg92odIXuhoSAg74xar7wvvl1bBnMXcxC+pORukM5/0GtcH2Frb0mAI5U8CgNme62VlhrECwQS1Dzg+9couuLHyO62ZQouaVCtzurHGFa5U7+4JTXfgBULFYPjWkpOq2K6ohWYA1Vpni2I6fHXu1KWLk3t+qkGo8VyhDAMIq+OTgEkekMzDN/nfuiVtFZsBEmm6/5zI3Jm3hchcdcc0777/CnQx1+tknuZbqDp9UEr7HtZ4v4kLcc2Myt1wz9A98A8BZAcbM0pneb0xew1oKVKb3e3r7cuxT+y+gl6p1lS686kwVLnOkVmhepPzFOqPAyW6ILybZ0WFggiF16BncFCJ08phBbRi/0C1rEaWAQW1EFbdlNisKBBPUYjl7flw5F9yuKHyOsNoBgYEbQFqu3jW64IozXSsfVkeWkGW4ngUa8Nf04YmldYEmNvxPgRigl9XJiCLwxOASevXflbnYDxxj7e09+14Nmu/5q2YFavGBxUUgMJ3pfQes/Pv5aQz8JA112t7sDsNjnX7u9dJHXJO8t3mnrDt5joUYiKQA1KeFWkAXXcgLGxZUN40/3KeqT94grN0t3yzj+pliveQah46d6x1LutxFEX6sISaoMcGNT66DZdzVarZ3fSzV7M9PqCVtTQfdqfOvOEN3VL9cz4666wit0B8rLjFrL7z6THWZVtVNow+1+Cz3+fZedyP9geVAGfEbmvCJdRmdfE38vPNJvv1z+e7XOfQa/G8d8n8Plk+D2qy8Ge0YUyD4FTCoDf4yshTmswLBBLXEeGXG+mU3nK276lyV4VA9Fk/8L4kKAKwQsxY/W2KUPt67mOuSwDB/gx63q2abIm78Uvwru06v6h5PVAFgCF9MJiwBpEBRnZduVo2WhfRAmyJ6amhJ9f6murua2bEstbkFKyyHi6/pVTcXcF0Q0CPw2oAV7gPAO9ZJoBcgC4RazmHBBvxWyQvbI11ucy2zz48rr2LVLnf9WDkHay1gRriwQ8fiIjGjqguuuDc0G1FK9bve5nYw6AQAti3HlnXh+/5Whd3zmgzwLL9cLz8stXROenxVTYXLXOhGPABQB/54pFbo1mPmPa4by5kFTtZLH9ztWrWB2tuqXqoqTa53Nar1ws16YlAJF2Cx5NIBwG8ZfdCE35uPusuFeiYAPv9uOdVpW1TknQ4IsZP90YFXPq6kBt1v93576WZX177fB98iGQa1+fyStduZAnmkgEFtHglrlw1dBYIFagG2F98vr6J3X+L6kTbqc8cRVrBAuGPmP36U+JgSg/TR7rfr3MtO1//OP1UVHr3WtZBVaXq9CAVGjFcg8epbz3UhBusd8UxPPfMk14oHwAAtrD7F8azcxcQl/DPxbcXilx9Qi+Wx9os3uwtL3P1YQTfOKj6wgfnmO1bE4vdd7sbqbTLwThcyA6EW9wU0cPNe+BxdXPAsnXfp6Xq8zx3uymysxsZCBywf2+qtsq7bBvuYlMd2RaFz9HCHW1zrNtbc4jUu1+U3naObSl+oe568we0E3Fz+Yl1zy7nusRddfZbr/9uwVzF1+LRytqEWSKasgfnW75TLkksA4E5+iJhwx72XuVql50uNtRrwZGId7ilYXIFaltG95pYCbsQE8sbiHoA/10WTQqUvcsEfa/gFV57pujEA/gAtVmEvzwVcF5mSNa9wtSKmMtE6sAxT39huqXyJa01OL21pyzU//zaoDd33taXcFAhUwKA2UA37bgpIChaoBeqwoAJVWPsAkowaekJ5MWGKCVTtPqooLJxALPvwb+06raouu/5s1et8m2uFxZrJtVn8AIssFk5ABmjDz/Th9re4y6q+/MHdLljf++xN7iz8qk9crw6TK+Y51AL0uE1ce5sHREz8GhowrB2oA+nF5xiob9yvuKtTINRipcUCjWsCVuynhpbQ1TcXUM2WhdV5qged5epfq7YTK7gTy3DbQAt/KJ4JWkAr8YBbjCnt+vdyPX8YngUh7nrwahducfvAP7fg7ee51kmsodm11AbmLUvfF9V2rar4HZ932emuNTStRdu/Dm4VlDEREAjvhQsKUAt4YsnGuksnAKst1+s+s5oa9Suu6s1ucjszhFIjnBzQzwjCYz2LuZ0dIk9g9acu0cFgVODRbre5YI7LDNfBKl6pyfUqWesq15rupykYPg1q7dVvCoSHAga14VGOlotcVCCYoBZIwvIKQGXW+GNxY6i3/SeV3FimgVDL8HHrt8vqumLnqeesw/61WNpwacAKGQi1+PGysMNtVS9z/Wzx1WVlsDPOPlmVG12ndh/enS9QiwsEM/M7Ta2swfNrZph/ABifX44lf2hxCGrfKKNes6q5rgIF7zhfVxU9V6ed+V83WgJWRCaWAZ0+1ALATKbCbQPrJRsWXvKO9RTXAzSr2aqwO3SP5ZjOBrrg7oGV87T/naSTT/uP6Ai0HV8hX6AWfYBG7ucP/adXX9AKcAXEAU98gYFaJpdhned3zgNeWYYYd4uOUyq7dYGYtyzNjJX3vyf9n5sv6hUdp7POPcUdTbix1IUeVM+/XxUf80KwXV7o7ENa4heOqwguHuml70TtM6jNxReoXcoUOIEKGNSeQPHt1sGpQLBALQ08vpJMtvFhI8NGf9G/x/7hHZtjqB1TxgXIUrWvdIfQWY3q5Ul3uxOMsNxVevw69+/8cD8gz27emZGfjttBoBaHjv03nJkPtc1G3iVcMwpcdJrrToGrBcP7zPZnAYIOk48NtYDttcXOU7MRdx2G2tYe1NJhwL+WyBNYL+mAsPIZS/lWe+ZGvZgfULu4tqsPWrEF6pLe90Na/RvpwIXa2lep+ejSh+qZD7XtP66kyo2v05WFC3ijAB9W9DpApS5woZb7Ab4s1ex2Gm4u4LpAYDGnDhFXOBBqry9xgWs1J5xYemk7UfsMaoPzXWypMgWyq4BBbXYVs+PDXoFggtqcNvLdZlR1LYW++wERC5hsVr/r7S7U4X4AdLmz5Efe5Q6t31rlUrF4Q7/vvYlXlZtc71oyAbdabYq4w/v5CbU5zTvWRx9qH+9bXHVfLupaCrFikm8WsQC2gLWOn1bW/S0LqUKDf90PplQR/rtAKROv2Fq+WVbF77vCtXbjfuBaav+FWn7HIsnwPZZyhvMBPJbydaH2/fJ5b6kFao9jA2pxl8CFA31wX8G9gk5Mh08quz7dWKZdy+6/LjFAPC4KWHfRjzi7TIrDAlzgktNV58Wb3cmI1D9GArp8UVXEWmbSGPVqQDqT2I4nD8d7rkFt2L/WLYMRooBBbYQUtGUz6wqEA9T2ml3dhQomirFoAz6WDJEzSYzFC7Aq4q/64EtF3SD8WBRZfha4YcJRhYYF3biwrG5VsNj5rl8vizv4vqn5YanNKagEQi3WVSa+MTmMSV9MdmOC3LmXnu5Oqmv/cUU3Pi/5LFXrSrV8o7QLvTfceb57LMejVeXG17s+pfijBkItMYSZPMdEumtvO889luv/D+hreoMLe3nuU3scQIvGQC0uAbhPMDkNdwv+rtfpVte1AjcKOkTX3n6eqwkTB08/+2RVanyd62qAm8LVRc89tBra5Tee7XaOgFxcPNDQ1xHIBZ4JsZbT8s2L8wxqs/5+tCNNgWBWwKA2mEvH0nZCFAgHqMWvEv/Qe5vf5E4IYrY5LgmE/gJSAK3HehVzJ04BCfg4EuO0ZuvC7mz3dh9WdJedZYLQfc8V0iOdbhOrfxEqjNirWOZav10uqMDEhx3yyqz8p18r5U5ews+WFbPIC3kH1rAYsugC8XqZZPdIp1vdFb2YJMU+rLkcz4bVlzBVxFjFAg4kk39/uB9rLdfk2hzPvR7ueIu7qhnHEz0A/2U/fcH2SVk3GXCnqwmREagDhPRioh6T8PA7JqSbnz/cLeq28/ywOQZ/7Jqti3j6Nr/JzSvWfcoB1xVfG+pcwx63q9v0qofcHIJFC4PaE/KqtZuaArmugEFtrktqFwx1BcIBaoEFZroDHb0DJpkxqannrOpi0QMmDPkrSPHJ0DPB9bE+AmzAHee7++bWcOOV4gsJMDPMzvHBAiVHpGNRbTd9flr9vJEXAJf95J18Am3kh0lpgL2/qACf7vFfV3P3+5ZFjuV88u/7+QJv7OPanIMuxM4l6sSrC2q6f3OvI9J4nNbV3LwWeSX9bGhAfQmMnuDVBeqNlz/ygl7kj7yjCRP13Loyq7qrqZ8+zkULt85Rt4LMl9ZPp0FtqL+1Lf2mgKeAQa3VBFMgjQLhArV+g22fx+dzavqFv34GtWlegvanKRCiChjUhmjBWbLzToHElHhNXt1eIxbXCVrrmoFW+IOWlXH+lDHPuUFt3r1P7cqmQH4qYFCbn2rbvUJCgaSUeE1Z000jlzxkUBtEw+QGefkDeZGlcx2NWdZQBxJ2hMS7yRJpCpgCmStgUJu5PvZrBCqQnJKoL9cN1OtL6xvUGtRaHQjjOjBiyYOavLqDohP3ROCbzrJsCoSfAga14VemlqPjVCAlNUU/b52gt5c/YUATxkATWRZJs/KmV950XBftnKaE5JjjfGvY6aaAKRAMChjUBkMpWBqCToFNUcv08ap2BrUGtVYHwrQOjFrykD5c9ZKiEnYpNTUl6N5BliBTwBTIvgIGtdnXzM6IAAVSUpP0x86pen/FcwY1YQo16VnubF/kWHTf+rOJlu/5RsmpSRHwRrMsmgKRoYBBbWSUs+UyBwpEJ+7V7zumaMKKVga2BrZWB8KkDoxcUlfjV7TQol1fKC7pgKTUHLwd7BRTwBQIRgUMaoOxVCxNQaFAqlLdCSQr983Vl+sG6O0/n9CoJQ9rxBIL9WUWzcixaIZDWY9Y/KBGL33E9ZOftra3Vu2bp5ikfeIZt3+mgCkQPgoY1IZPWVpO8kiB+OQobYtZqeV7Zuu3HZ/ol22TNH/bBNtMA6sDIVIHft02Sb/v+Mx9hrdE/6X45Og8elvYZU0BU+BEKmBQeyLVt3uHjAIpqcnuDGmsO1GJuxWVuMs208DqQIjUAUJ2xSbtV0JKrIhuYv9MAVMgPBUwqA3PcrVcmQKmgClgCpgCpoApEFEKGNRGVHFbZk0BU8AUMAVMAVPAFAhPBQxqw7NcLVemgClgCpgCpoApYApElAIGtRFV3JZZU8AUMAVMAVPAFDAFwlMBg9rwLFfLlSlgCpgCpoApYAqYAhGlgEFtRBW3ZdYUMAVMAVPAFDAFTIHwVMCgNjzL1XJlCpgCpoApYAqYAqZARClgUBtRxW2ZNQVMAVPAFDAFTAFTIDwVMKgNz3K1XJkCpoApYAqYAqaAKRBRChjURlRxW2ZNAVPAFDAFTAFTwBQITwUMasOzXC1XpoApYAqYAqaAKWAKRJQCBrURVdyWWVPAFDAFTAFTwBQwBcJTAYPa8CxXy5UpYAqYAqaAKWAKmAIRpYBBbUQVt2XWFDAFTAFTwBQwBUyB8FTAoDY8y9VyZQqYAqaAKWAKmAKmQEQpYFAbUcVtmTUFTAFTwBQwBUwBUyA8FTCoDc9ytVyZAqaAKWAKmAKmgCkQUQoY1EZUcVtmTQFTwBQwBUwBU8AUCE8FDGrDs1wtV6aAKWAKmAKmgClgCkSUAga1EVXclllTwBQwBUwBU8AUMAXCUwGD2vAsV8uVKZA1BVLipAM/SxsH2WYaWB2wOmB1IBLrwN5ZWWsvQuAog9oQKCRLYn4rkKrU1Oxv+Z3KXLlf0j5p82vSL1fZZhpYHbA6YHUgEuvA2k650pwEw0UMaoOhFCwNQaAAEJuoqD3btPbv5Vq6ZLEWL87atmjRIq1evVoHDx4MgnxkMwmJe6T1PaQ5jm2mgdUBqwNWByKxDqxqns2GI3gPN6gN3rIJuZSlJCcpPi5GUQejFBUVreiYOCUmpyg1FHKSmqzkuG1aNOsDDejYVq1bPKfnnvO25s2bK7OtWbNmGjJkiFasWOFaeEMhu4fSaFBrjXgkNuKWZ6v3VgcO1wGD2kNNon0xBaTUFCUnxGrfjk36a8lCzZkzVz/Mnae5Py3S2m37FJeYHPRgm5ocr5gtP+ntbk+qwh23q0TJu1S6bFmVLl36mFupUqVc6F2wYIFBrTUUhxsK08K0sDpgdSAU6oBBrZFc5CrAMH2KUlJSDgFcSkKUdq9foh9mTNSQwQPUoXNPdevcUc+3elnDJn2nldsPKj45uO21yfFR2vrTRPVs9ZQeb9FdYz/4RNO/nKnp06dr2rRpmW5TpkzRvHnztHPnztCrFmaptUY3FBpdS6PVU6sDeVcHDGpDr+22FP+rQJoJUNnTJVWpKQmKPnhAe/fuU1RsnJJSUhS3Y5UWfDpUPTu+oBcGTdD0eQs1f8b76vN0ZVWo1ULj5v2tbbGJSs7ezfLx6FQlRO3SH58MV/sXu6r/xF+1aVe0kpOTlZSUlKWNY5lcFnL/DGrzrqGwRti0tTpgdSAU6oBBbcg13Zbg1FQlJ8QrNiZaUVG+z2us4hOSlJIVFktNVUpCjKK2/qXvvvxcE8aP1zc/L9Sm/VE6uGeTln8/VR9PmKQZP61UVEyMorf+pT8mtledMtU1ePqPWnkwVgnBWgopcYrevlQfvdper/QeqqlLt2lffMqh1KamJCvpX+2iXe2iFB0do/jEZKWEIsgeypkkg1prdEOh0bU0Wj21OpB3dcCgNrBVtO/BrEBqSoqS4mN0cNd6zf/yQ70+qI969eylnj26q0+/ARo3dY7+2XlQ8Um4E2SUk1Qlx+/XlmXfaPSQ7urSZ6i6tmmqjp16afxXS7Ru+0FF79ulXdt3au+BOKUkxStq81LNG91cdWs11wfzlmt7bIIOY2JG9zkx+1Pi9mvrkunq3uY5tes/Tgu3HlBcilw3i4S4KO3dtFy/fDlJowb2Ve9evdSrZw9169ZNE2bO1+qdBxUTynBrUJt3DYU1wqat1QGrA6FQBwxqTwx82F2zr0DCge1aMut9DencQi2atVK3/iP1/uRP9dG7wzXgpcaq93BDNe00Rl8tXq+YhKR0bgDpxmjfloWaPOgVPdSsl96cMk+z3+mk3i+3Ut+x07Rw3W4lpKS4w/X42iZE79KKHz9S51ZN1W34p1q2cY/ikoIVaVMVf3CHln87Vq+0aaMB732tTQdiXVeJuIPb9duM9zTo5eZq/mwbdR3whiZ98qkmjx+pbk/VVq06DdWq/3jNXrRe+2MT09EuBHYZ1FqjGwqNrqXR6qnVgbyrAwa1IdBYWxJdBeJ3rtbXr7+iBjWq6IkXemvynMX6Z8tWbf5nseZ++pqerVtFNxSrrpfHzNSqvTFKTGOtTU1JVPyeVVo8Y5jaNqirJv2/0M9r92nNjCEa+FJzdRs+ST+v3u65FqQmKyl6tzYtn6dJ7w1Vz+HjNWfpRh2IS8zECnyCCyo1RQd3rtfscb31/Itd9d43y11ARYbonWv0+fBX1LhuLTV+eZA+m7tEG7Zu05a1izX3g96qX+lO3VapgXqNm+Vau4MV2zNV2KA27xoKa4RNW6sDVpJaBMoAACAASURBVAdCoQ4Y1GbaTNqPQaRA4t6Nmv/p6+reuYfemfK91u6OdmPHJidGa+uqnzTixXq6/oqCqtfxHf28+aBi08zmSk6I1rbl32lin6dUs0YDvTprtbbGxumPSX3U4bmW6j76c/2+bo+SlaL46N1as3Supk5+S+M+nap5f27WnpiEoPY7TU2N086Nf2jcgA5q22OMZi3fo9hED09j927S3MlvaED/VzX2i/nasCfKnRiXnHhQezZ8qx6PllXhIqXVfMAELd60W+nZuYOoKqSfFINaa3RDodG1NFo9tTqQd3XAoDb99tH2Bp8CKbEHtGXVMv2yYIn+2bxL8cn/2hNT47V7/a96o209Fbq6qBr3+EC/b49yfUkP5yLVdSX4c854dX3qXlWo+4pmrdmnPbuW6/2eL6hl6+4aNfU3/bMrRolxB7Th71/12Udj9drb7+j7JWu068BBbVu3Uhu279OBuGSd0Khe6ToMpyo1fqc2LZ2qQV07qtfYmVq+J1H/Mq0S4w5q06pl+n3xcq3aekAJ/2qXmhyn6K3fqU+D8rr91kp6Yehk/bllbxBHdzhcokd9M6jNu4bCGmHT1uqA1YFQqAMGtUc1jbYjSBVg5n5CfJxiYhOU+K9fKxO5onf9o8XfjlP7RjV0V8WmGvDRr9oUFZ8GzFIUs3udfvigr5reW0LVnh2mxavWauGXY9Sp1UvqMfwTzV2xXQdiorRr7W+a8u5AtW7TUs/3ek2Tv/hKM2ZM0ZuD+mjC7CVauTNO8WmswMeSLCUpQTFR+7Vnzx7t3R+l2IRsXoCID/Ex2r11i7Zu3qKDsXFKDoTb1BTF71qpJZ+/qs4de+mNGYu0OzHl0IQ2X7vYuAQlJBGfVyJNUTvWaunM1/RszQqq+mArjZqyQJv3xgb9AhPp6m1Qa41uKDS6lkarp1YH8q4OGNSm2zzaziBWgAUTEuKitW/vbm1cvVTzprytga80V6PHmqjdkCma/8/eoydzpSZp34bFmtyvhardfJPqth2h2VMnaEyvduo5+H3NXLhWu2ISlRS9TSu+f1c9W9RR6VJlVKlGXdV/tL7q1q2teyrUUI9J87RkR2waK/CxxYrZu1V/LvjeXfhgxg+LtGZbVNbAkcUhkuJ0cN8OrVu+QNPHv61333pHP/21VvvjDk/owl9496pf9cWrL+qlbiM0deFmJRxlTnZJVgmxUdq/Z4c2r12ueVPGqkeLxnq04ZPq/sZn+nX1LkUnhKRHrYX0yoeGMulbRwe/dLR7mqPor5y8a5jyIS8K83vEzXK0d7qjPV84iv3ayircy9vy928dN6g9NpDYEcGlQHJirLauW6a5336hca8PUtvGD6pc6Spq1HawZi3drAOEpQpMshvXNlabln6rYa3rquglV6vGU+01oH8PjRz9tr5dsl4747wFFRIPbNXfcydpdI9WatKwgRo8Wl+PPPKI6j/aQE2e7qIPf1qpzcBv4PWz8H3XPws1cVhHNXq8sZ7p9ra+Wbwja1CbnKDYPRu05NeZGv/mALV9vI5qVL1Xncd8ob+3HTiUz5TkaK37Y7bGdHxRPUZP0YLNWHLTJAxAjtuvbf8s0dxZn2nC2IFq2+g+3XrHfXqm+xua89c67YtLzFqs3zSXDoo/zVKbp5CZ+r2jzZ84+qKfowmdHP31XniBEsC++3NHK8c72vV56OfttzGOxndy9HY7Rz+NdBT/TWjlKXaWow0fOVo5IXyhPOEbR/9McrTifUcHZjhK+c4rIzokmyY7Wveho6iZeVNu3Hvrp47+Hu/dm+c7r8GYZ2zLJ15+uXdKXtzToDYommNLRDYUSIo/qNV/zNYHb7+mHl1e0tOP1FTZO8rq0eZd9M6MX7Rm2353ApnEqmFJrmVy15b1+mHKGLWsU1pXXFZUtZp30pBJX2rpuu2KDVi0ITkxXgd3b9PmdWu0evXqgG2N1qzZqF37cT1IzRqQBuRp618/aFiHx1S2TFnd89QAfTp/S8CvmXxNjNGBTcv03fQJGjVqoLq1qa/ShW9UlUa9NH3RekWnkJZUJcVu05I5k9XvlV56+8vftTmJ3Kf5l5qs5OgdWv37Nxr/5qvq2fVlPVmvuoreVkmPt+2nj79fqLU7vDi/ac4MjT9zALU0HrxkaTxoRBJnO0oNcwteThsuoOijbo6K3+io3C2O5o/O+0Ywp2nNyXlYNSd0dlSztKP3O+Vd3pK/c0S9c+taDhv1A1862vCxo22fOUr+9ui0AkjNHnBU6CpHV13kqNE9jla85yg/wCUn2qd3DqD3Qj1HD5Rx9Oe4w8CX3rGhuI/yXz7OUcOqXh7pePgW9VUTHHV+3NGzD+Tdc7bxY0cDn3V0b0lHs19Nvx7ltq7UyxFtHN1/l6OeTzjaMTUP6qRBbWi015bKwwqwhGtKcqKSkxKVELdf6xZ9rTHt6unu267VtRUaaOAn87X1YLySkxMUs2ezVi9boJlTPlS31o1UqvANKnR3C70352/FHWXKPHyP3P62Z+NyzZw0Sj2691CfMVP004odh6ysmd6LpYBTkiWsrCkJWvv7Z2rfoKLK3tNQvT6ZrxX7mAyWopityzVr3FA916q/Ppq3QrEZXRTtkpKUmJSo+Nj9Wrtwhoa1vl/Fb7hCd9ZqrpHTFmrzvrijgTij6wXT/mxCLVaC719zdPv1jv77H0cFL3W0/D1HWBNy+2UeDtfDakZDe/t1joa2cJQYZjrtnOpoUHNHl53vaECzvKkDAO2OKR5ELHnbUUwO3QJGtnF08bmO7rnT65QF1i9gaXBzr+Mxpq2j119wVP4WR60ezDurX+D9c+v7wjGO7ivl6IoLHf36uiO0y61rn+jr8O5Z/5Gjl+s7OuNURy/W81x6/HQtesvRIxW9cps5MG/yjQW8eS1HFxXwOqv59d5b9o6jJ+51dPM1jvo943Xw/HznyqdBbTC1ypaWbCuQyipjB7Rp+RyNfKGOCl52le5pNVxfr9qvA3u3as0vM/TRuDc1ZHA/NX+8ju4sdpdqvvyGft2wO1/BLTkpQdEH9mnX7t3ave9g9ieKIUxqihJ3/qnZI55VlbLlVKPlMH02f50OxiZo24pf9P7wPmrR+339sHx7lvKGb3JS3D7tWDNTvRuW0Q033KGGXd7Sj//sUNxRZt5sl0z+n5BNqN0zzdGwVo5OPsnR2Wc4OvtMR5/3yTlo5MoLOYitxLgd1K/sqENDR/um501DeyI1zA+oBWKpY5ec56hpdUdrJ+VMx8ygFreDEjc5eukRR3+/7wiLHGVW/CZHH3bLA8tYHtXZcIbavV84Gtfe65gAr/ioBw7FhzPU0un6rJejSsUcVb3D0YI3cvYMZPiuMKjN/7bX7pgzBbDQJicnKyk55Ui/z9QURe9Yp2+GvaBiV1ygm2u+qPHzNmjvvr3asxm3gb+07I+v9HqP5qpavoaavfqZVu48KDEcn5ysZHcIP2dpyvpZRBzA2srmRR/I+rn+kalS8n6t/WWcmt9bVjdXaqwu47/TP7t3auVvX2vUwIHqN3Gu/tp+tJ3Ws26T3yO1S01NVnzUFk3p9qhKXVNQ1Zp215SF67X/8Bw0/+bB/5lNqKXheOI+R9de6ui52h7cNq8dHv6UGb7wjwNA8O3DD44GOJSGsbOqRb5A7Vdeg04nqkFlR/98kLMGnU4F526efPTIAq4NWAHxCwYgfF9h9uG2kFU9TvRx4Qq1PDt/jHVUr6Kjay52NL3/0WUYzlBLvcLtoM/Tjgpf7ahbk1y2whvUBn9bbSn0FEiKPaBtG9bqr3+2asf+2CMWQojbs1k/v9VBZW66TMXqddAH87doX3SCEhPiFBe9U9uWTNWI9k1UvmpjdXz3J23aE6X4vZu1fv0m7d4f44JyaOicrOjtS/Ret8Yqdntp1W07VLN/+1XzZ03Qq68O04dzV2pn7BHT5CSlKDH+gLZuWKfV67dpe1SSklJ8U2yqEmP3adbAxipftLDuaz5A0xdv0sH0fHKDXaBsQC2N/ZTejsoWdVTlDkezhzgqdoOj6y7zJgr5EzZOdMN+Iu8PxM55zRFD2LgdtKnr6JVHHY163tHPo9KfePTWy466N/EmJgHAaNy+oaNOjzla+s6RfpFL3nE0vLWjFx529EoDR2+18yatBFqsyD/+zliJBz/nDde2ftBRx8e8SVD4HuZEIybJzBvhXbNtPUe9n/T8abluRu4H+DuS71ef89KM9ZOJWPi1ZiUNAOW0vt6Q+iknObrxCkeNqzkiP2yf9PTcA8gvIwjdGjvaNdUD1NEveJbX1190tOYDR7+/6aj/M15Z7J/h3R/dcBHBCjboWe94rtu1saNJXR2tnnh0Opns1+cpR2Nf9rTnuriWMByOCwYaZZQ3rI08N72e8I7HPxN9Xmvp7cPn1z+Xe1OPyBeTDf39/ueQFl4dA2T9fceCWiD9gy6eFRqrNNZrfFT98/PjEx9z6sGXA7xJhjMGOOrSyNHzD3n53ZhOp4O6h7We4fc65RwxYpS2k5ge1FK+lPWswV6547pA+bar77mYAMpcO718876bN9xR36e9utu/mSPq0mNVM3Y/4Pmn/Dm2zUPec81zSNSTtPMOSP+WTx1N7+c9S7wrOjb03Bp4Rrl/YLpwJflhmKMHy3suFsvePfL3wGOz/d2g9sS01FjOEhISFBsbq5iYGPc7Vjz7l7ECMdvX6NsJ76hX33c1be4K7YtLEjoyGWz/1pWa8mpL3Vm4mOq+MlY/rNunmKRUEZA1OWqb1n43Wr1b1lbVRu01cvY6bdu5UStmT9T0Wb9o1RYmR/mQl/H9g+WXlPi9WjR9uJpWKaEK1R5T3yFD9f5bg9T7tXc1Z8U2HcW0SlbUrlX65oP3NHTkx/rs1w3aF8tyv6lKJbrC3pV6p11dlSlVUc/0naDf1u1WQujIcbhYsgG1WLpovIte6wHV9imexeDM07yZ/T4oZPuFehyW0GC7F0PjLeo4qlLc0d23Oapwq7cxSYzJO+91OBpsG1d3dGtBz38TC0zd8o6qFnf0YDlHP47wLDJYEPHzZNi14u2Oyt/qbdyDSTNfDTxyKHZiZ8/toUKaNHDeQ3c7+nHk0ZaujLSkMY75yrs/k1XIC/nCNxX/zduuTx9qGcIHvOpWcHT37Y5Ii5/uhlUc/fL6sdMAvLz9iqMiV3s+3PgylizkaUveAXzq5cI3HT1Q2oNeQI3RBNLKcC3wT2cAcOWch+8+DNVYZD/p4ahWWS9P/M5GHum8PVXD62wEAtS3QxyVudnLP2VXv5I3cYhzShRyVL2EByqB/pbAFaAC9DLJCB24T7USHqRcf7nXQVz81mFYYxIUOlFv0gNPtAfyPu15GG4yglomxn050NFT9x8uB8qQNNcu63VO4jKAu4zqRU73A5bXX+bVWzoh3J+6VLqIo2LXO2pZx9GaiUfW5/UfeuB705WOJnY5sqPnpyM9qKUM8INFZ+ogupNv/KXLFHX0UAVH77ziKDpNtAQ6XXTa7i/l1QPOoVx5LunEp/WppX4QAYRzKF+O9/XlnPYNvIgNfp0AUJk0ihbV7nRUuZh3PHXOr6NAa0IasGWCLpBNGuigBdZLX4ccfRrUHm4T8/Pb3r17NWvWLI0cOVJDhgzRzJkztXPnTnd4Oj/TEUr3OrhxqSZ1b6Ma5R9Uy85j9f3S9dp5YK92b12t3756T+2b1FS5as9o8Me/aePBePmcmhy1Vf98M0y9W9fSvU930Yivl2vJwpn68L2xmj5nmTbviVdSNtdCOKG6pSZq58p5Gtu2nqqVKKlKVaqr8XOt1X3MNP217WA6E9CStH/L7xrfva0eqt5EzbqP15xlG7R7/z7t2bZKv30xWs/WulvVH26t0REyUQwLFTOL7yri6JvBHpxhOcDXkYadMDf+S5YJUcy+BgD82ck5etkeB/DSgAAD37zqgQ9pwz8TiBn5vGcBwwp2rA0roN8YHSsP2z9zNK6DI6yERAWY3MPRpC5eY1f5Dg8ogLnACTxYns4501GtMt6kKxpZAGxGf891gXS/+ZIHaMAaacfaBbgCwTTWtct5VkXfYstkPqxKb7T1LI7kGX9ErEeXX+DBDaDsH59ZvhiaxypJuVPOdGy4P76mWGCBq7SWWkCToVJg4tlangXu4+6elRaLJo3y0/d7FrfM0sC9Ab12jzo6/VQPwtAWfdiYOEaEiV9Ge6CCiwJ5BKbRB+ADDgk7RjnQeQicKEY5YFkDjse85OWL677b3lGjah4kY9EMhAsmIREhARDFajzkOe9eWEBJ54XneMAWCEpECen1pAcsXJeQYZO7e4A24FlHp57i6MqLHOHb6z9DWPwBc0CMfKYtIyDwknO9e/u/ZQS1WJMBZMqj0+Ne3cQSjaWY+gekY0FGb/9aefXJRKvTTvFgsUdT71nB4k6Hr+m93uRTvmPV9tOAxRT4pUOHddPfH/iZHtRSvoBgzycdjXrBs1JzL+oGoFn6Zi9yx4LXD1+T+jSitaPbrvM6htQN6u6HXb0yLFX4aKjFQouWdGrolGJh59lnJIVRlVuu9eoGri+MaGF5p7MFwDIZcXxH73jqHaMAWIPxm01bHnQuP+rudfIAckK4BWqQ4+8GtfmPJ/hxLly4UE2bNlWRIkVUqFAhvfjii1q0aJFrsc3/FIXGHeN2r9PssX315D3VVffhluo9aoKmzJyuqZPHaUS/DmrVvIW6jvhcC9bsP2LxhdT4vdqxdIre6ddCjzZto86jPtTUaR/qk2/m6+9N+xSXmJKliVXBpFL8vk36fXJ/PXvfnSp41TUqUfMpDfrkN23Hb+CofymK2btKX43pqyeq1VLNOi3U5/UPNO3LGZr26TgN7NJWzz7TQgPGTtPva/coJjEUzbTK8uILvIh5sWN9oHGkwaHBoLEGdhgWBh79lzAgC/gwNI0/aWYvWxpyQOFYx2V2jfR+44VPmhlqZNgVWCDdDD9iPaFBycoGhPr5Su8+gfsYMuQeLLbAd+6JlQxfzu5NHV16ngdQgUOLQMX5Z3tWG6x5gffifKxGWHLwJ2QY1Y/NCWhzPEPlV13sgad/XYbtSQfDnhzHdbguFlqsQUAZw9vHgnXKGKgHrABC9ASG2c+GroBJWqgFMqkXANycYV46gFfgcPHbngWUGfrAmp/mQB0Dv9OQA5qZ+dT6UHthAQ9c8PV19Q/oFKUHteiCViy2wH3IE/eOn+W5PdBhAKQoTz9NPtQCNx909uotOrIBIuy/5hJPf67PeQxBYxXFisf5PB/8xjkADnnLK6gF0nAXwaoLWFNmaENe0enT/wfxhDCjfmFdz6yT4WtwPJ9ALaM71A3cawBCtEBz6ufVF3v1g/Bk/n3oMJD+J+/LOH3pQS3Xpc7xDB2c+e+zMMf7XPquF8KtyDWO3u/o3YvjKQ/eC1hyAWA6aLz/0Iv6CnintdRS7nSWsLrSgfTzRCeaDgW/ESmGdyT7MAbwDmI/9cGtq/8+o/jO0hFjJCzt88nfdD6AceoT+SLNvk45/jSoPYoA8nQHQ767d+/Wa6+95sLs+eefrwsuuEAPP/ywZs+e7boi5GkCQvjiKYkx2rL8F00ZOUT9u/ZSv8HDNOqN1zVi1EgNHf2mPpr+vf5cv1tR8WkmYqUyxL5aC77+UK/17adXX39X039YoDXbDygWoA1FhkuM1t4V32jUSw/pziJFVKF+O038ea2iMpjglZx4UBv//FGTRwxRz3Zd1W/wcI1+43WNHj1CfYe/o0+/mqeVG3cqKj75yEl4oVRfsuh+AMjgB3dLQc8iwcuTlymNPdZbrLVYBjmO34ApfEWfqelNcMjsZctwMZPOGL7L7Ljs/gakYBEjFA4AR3rZRwOJJQ8fyqxsBHrPbigu8g88YGWkoZ7Sy/OhJKQUw6uAhp8foBYIwhrq7/M/acTwsQWGaUzxR2WSjL9hDcLic+n5nkUUMPDPpSEGbAFfGlZcGbAC02BfXMADimMBJSBMI4r1sUEVbyg3sBHNaKIY1lRAiTRjsfbTyyeWJqy1WOv4+1iW/OxALWCIC0h6YJYe1AZqRd1ltAGtfhju1WfAg/B1gREXfKil3PCH9a/BJ2XerKYHbVzP14owTFdf4lmR03beACAs9XkFtXQ88X0nH+gdmF7SB8jSaSlwpqOfRmXsYxp43vF8B2rpxPVocnRaqK+kk6F+f4Y/zwDWUkYYGJnI6N7pQW3gsVjOcWNYNNaDRmCeOs2kV0YcOJZ7Ub6XXeBZVgPLnd8zCuk1vJU3+oAfPKM1gfcFiun4AfL4TlMvGEnBNebOm7wYtIwoUS+4f+C5ab9TXuhCXGjKlHdmenU97XnH/NugNn9b7cTERP3888+qUaOGbrjhBlWsWFE333yz7rvvPn366ac6cOBA/iYoxO6WHB+rPZs2aNWfS7Xoj9/1+++/a+GiJVqycp12Hsw4vmpqSoIO7NqqNcuWatmff2njzoOhC2+UGeG4orZqzoSBatmokVr2eEs/rt2ZqS9sUkK0dm1ap78XL9KiP/7wtPtjsf5YtUl7oxOOmHgXYtXCS24WoZbGm+E/hjyxwPICZuMFznD4Bed4AAsU8AJNC7VYJ/D75DpYIZiggb8k8Ufxq2PIDtjBj4xGHusZFlz8zrD0AQtM6MCKQQPAcbzcARCujTWVa7NhtWPCFdcJhNpjvtgDrHo5PRZA+/Ndb2ieQOk04AzZM7EOf8D/ne75dAZaYzODWvLMhLPz/ufNesY6E2hdxjcQP0SgmOF8rkvDR9mg3diXvGFWOhePVPIsPFgzaWDxQw0cVk8vz2gISJ9+ihf4HctQ4HEZQW3bR7w6gUUYYEovzYA4UA60Bl4z7fe8hFq0AqQY3mYyHz6O6MjQLpZmhvfx5/05YNGMzKCWoXFGJ9A3EGpb1/WglQlEaSEkr6H297GeHzx1EJhKq++2T706SSdjah/vuUl7TG7+nRnU4pePFfK+koehlo4znYKClzl67f9NBswoLelBLeXLM4mFlc5Vz6ZeJ/zRyp6lFKuwC8uNvevyvOE2U+Aszz2E91jg/TKCWsqXdyCLJNCZDDyHa+DucOrJjl6q70XfwCUCtwSst/iIP1fLA3f0571G3ckIcHHrorOI5ZpRj7T3C7x3lr8b1OZf843bwbZt29S/f3/ddNNN7vKrffr0UfXq1VWhQgW99dZb2rNnT/4lyO4U0gqwKMO2lb/r2y9maNbcZdp2IDbk3ChytQCyALW8XLEi4mN2xw3ecDdWWTYscvjo0QgQaobhNV6yaaEWaxH+ZgADk2/wDcVqxPG4MwAOfNLoA8bMdOZYrF4AL7P4sTgyU5hZ0jQOzBbGesy1OY4NqzGTqWhEANu0UIsrgLuM6Hhv2UmGOI+1YeFJCyIZNRY0SPjDkR/yi0WFBpRQVAxjE9e3TtkjfeEyg1p/6BjLFlZDdCOPaTcaVfz3sLyiPdZohkJp+HAZYdIZ+jJJCjgAUn97I2tQi3WXBpnypiMSmPeMoBYXD9IMSD1z/9HpJf1YrFkgINBqHXht/3teQS3AAzAB7YAUEyCxnjG7nDKkXOiIUK8DIxrkBGoZicAqh8+kny//M6+hljpJPWComw6if1//k44KHR6gFusl6fF/y4vP7EItnQ46iPgw04HOKE3pQS2dPDp3dMhvuMJzvWFSIB1NnktW+sMq27mRd12glkgMWM7nDj9saffvmRHUUp/pePI+9I/1P3keMQTwDD3/sPe+4jd/ohidvsJXeZ0e0sLz+saLni9weivfMbeBZ4q6Scffd5nx75ejT4PaXG1WM71YVFSUpk6dqjJlyqh48eKaOHGivvrqKz300EMqVqyYBg4cqB07dmR6DfvRFAhUALBNSkpSUhJuFKHoRxGYm+P8ngWoZfiMsFRYNLBG4AuZdsP6d9rJnrWL49NCLdYSAAbLLrCJRYzGA5+6QPcDQGPthx4A4IfItTgemGOyFJNrGLrGBw6XAI6n4SJkE8dh+WUoEbcC7hcItRxLA5mXPrVP13SEFkxWwmqMXxzgRLqY/IL7QXahFnDHhw8gQo9jNVqs8IZlFCsps+1Z6pWJUpQJHQYa9OxALRPfAB6uRT4C758R1L74sKMLzvYsxccLSXkFtVipsfTjJnHjlR7cUo8Ad+6JhZN6lxtQC8Djd84wetrQTseE2luOb6IYeQTY07PUkpatn3kRMYLdUsvkQvQLrH+B39NCLc87FtEGVb0VyAiTx+gEoz2MBJFv/NzTQi2uAnTSp/Y+2jUmI6hlspdvqU0LmXSKD1lqH/EstaSbjjKWaTrr3w/z3m9NqnvPOlD9cTfPfz4wj3xnpArfYjoq5NkstUe2gc6RfwbXX4DH6tWr9cwzz+icc87Rk08+qZUrV2rZsmVq0KCBrr32WrVr106bN28OroTnMDVuuChCRuVgy+Et7bRIVyALUMuLnOFYwlRhpUr7kuXvuSO8hhOLD5ahQKjFEgQMvd/Bsx7SuBLSB4stDW4g1OJKgA8nDRhD098O9YZMsZzhj8YMfmK6su469/UbBvwlK93uwVzRazwrIG4OaaF23xeepZcJO6QjK9uv6cxCTk8D9jGciI8eeQg8hvvmBGqxkmPlAWqx8qQXN5X70ICz8f2rQR6kYeHGLSMwHYRKwpKdVailM4LVnEaeIVJ8EgOvByAw6zvtRDHK6soLvbiv3DPwHP+7n17/74w+qRP4FfsTxQDPtMf6E8Wy41NLHSUCwFmne9EK0l6XoV2GeXMDaunAoRGuCWkt0xlC7TAv+gET+3hOAvOMdlmNfgDYYZFklIWRjkCo5jqMXBBujaVn6YhhrQy8V0bfgSksiXxmtSy5VnYttZzDKMEVFzjq+q9FNb00pYVa4JLV4cg3zw/PQmDecNHBRzcQaukoE4kAH/KhLY/uxOHD2vwB73o8l76LAK4rWJIpX9w5AtNHR5oJenQafJ9a9EpPMzqthOwiJjNpS+vuw3V5v/L+YiRozdHqRwAAGHdJREFU7QdZH0UKTNNR381Smz8kQAivcePG6ZZbblHZsmVdCy2W261bt6pZs2Ziwljjxo31zz//5E+C8vAuxNvduHGj67OJ//BPP/2Upe2XX37R+vXrXctjHibPLh2uCmQBagFDJohhjQBijnohYu351FGNu7xhd8ATy6A/UQz/V8D18Xs8KOPFTfB5GoCsQi0QC9ABN4FQC5gAv1h+iUVKAwI8EqYrLdSSbhoSrHBYT7O60XAFgkB6+ff3AUAAeVqoZTIOViEsMNmx1JJe8sQQJRZF3ECYqe/fj08s1XQ8GCKnIf9miKNCV3vxYQOhlnxgvS5ZOOtQyzkMd157iedjSoPqN+TADOCHm0haqKUjwLKzTPohYkJakCPNABR14ViuHZzLbHEsv7hRABZpgSAnUEs9mNzT83Mm1m8g1OLGAQAS6io3oNZ/hhjyZnTCLz+gkHqNr3XaiWI8G7iMYGUlfJp/Dp+cgztQVkJ6cQ9cdvAfJVIGz6p/LZ4Bwp5RL+nsAMBptfWPDfyk7Bk5QTeeNSJkBP6e2fecQC0ASX7pCGd07fSglucCn1UmRgZCLXlkRANf80CopS5iOaVjjLsQkyvJK/fk2eL54T2XNvoB7zg6/dR5XH/8CZg8K4yUuP7Z5zn67t8Qh6SVeQU824H5oTwIPXbKyd6IEyMhgb9Tln6cZN4JGAuyUl6B10j3u0Ft3rfwLLJAuK4mTZroyiuvVI8ePbRlyxZ3iVbcDV544YVDERD+/vvvvE9QHt8hLi5OgwYNUrly5XTddde5VuiCBQsqsw1LddGiRTV48GDt27cvj1Nolw9LBY4BtUAHVlIaVhqxtENr/gsSSMGvE39Nhu+wzvlQC/gw0YNA9by0OZYhdUJt0XAzNMdkKOCJRoVoAzQCXw/yAA5wJcwOkyewGgZCLVauCZ2882kAOJYhSgKTpwe1fnrz6pM4pbhmACOACH55uEpg8bvhcs8qmB2oJZ1oQsB5rG0MOTLBBB2Y3ISFms4GepFvGlPgDEsOw93EWMVyS0PI78Q9xdc1q5ZaGkw0ZaUjLK9ADHpTNljP+JsyTwu1lAvWKeJzAhX4XbNyFHCKHvg/40cInPmQnFGZUOfoFADIgB9uEIQ2I5YowAwY5ARqfWAnHQAfdea7oY6+Hnx4kQTcRXIDavHbZmgZP0iWlaZM8CcHCPF9Puk/jgpe4j0PPqTQgez3tNehYKSEFbiIyoBVEF9tLNdZgVp05ZmiU0mHi+eQEGloiOWTSYbMpKdT6MNYRmXh76dMqFvUCcoyENT9YzL6zAnUEkGEOM74Pm9L4wLj3yct1KIjlk5GGLCS8gxSB/Erxk+cv+msBUIt12JkgHcZ0Sp4jqljjBjx/JAG6kRaqOUcRiwIewcMD2vtPXO47tS8y3Pd4p2HOxLp+ryvN/qFjzt+uFyfZ4OyvfNGr84xqY+REj9/fPIsEi+XeoTPd9rOYuCx2fpuUJu3zTtWS6yPAwYM0K233qoHHnhAWCQBP/5hwe3du7cLfkRE4DcmlIXyP/LWs2dPN79YoM877zzXEs33jDaOueKKK9SrVy9Xk1DOv6X9BClwDKjF+kdDUqOU1+Bn9KLkRY2FFvgFgnlB+1CLFYe/maABgAGwj9ztxc4EammMsNziJ8bsZqwrNLpYlwA4NhoZIID9gVBLI4yVBCsT12bojmP5PBFQi78bQd2xomBZ4rPpfR7gka7zzs6epdbXG2DHx5hrMOGHoUcaUCxDuBlg9cZfEKsS8XmBzidreL8THQFwwpcY0GQiSlahlvsD1YQ2QlMmUnFfLJj4m7KPz7RQS31gWBurFZNoiLNLWoEn6hNpph7gv8r1/Xxm9EnjTf7r3e3BLUPK5IOJQ3S8cgK1pBEYoYNAnQWa0YoOAXFdqWeElsoNqCXUGlY+/DqJf8rIB5EssHIDtpQHeQqEQ9fK974H2ES54Nkibi6TzlhljeHurEItFj4slQxpkz/fHQHf6xb/QnZ2AAmopS7SQQLW6bhmVHZp9+cEarEuA/h0DNMLfcc90kIt+8gTvtG8Q4gfTBnjakGdpBMDVKaFWuoFEUxwGfGfY+ov5xCyi8gMaaGWc3hGeAcCyzwft17ndeio60z8orPpd+DozOH7T2xg7kHnj4mETAZFH0ak6KylfTbo3PmT5gBn7ptW3xz9bVCbtw1wdHS0u3IYMIsl8tVXX3WH5oHZ/fv3u+4HWDULFy6se+65R99++627AAO+qIT/4vz4+PiQmgQElC9YsEAffPCB3nzzTY0ZM8b95Htm2zvvvKNff/3VzW/aUkEPrmtb3mtARwy9Q+7fMaCWEEWE4mIYDpeCzF6YRCHA5xbrJBYSFhxguBprAxMisJDgRgAoA7n+8BtWPcLUAK3M5mVxATbuiYWRDQvaho+9mcNArB8Lkpc612f1JY4DboAH4BLLLmmgMecemaU9t34DsmmwyAsWHmaTk1/24d8HlKNPoMWbv6f1PXL4O216yCd5wOJHPgkKDzD616fBBNA4D1cJJqdgeQMEGbrl+kQ7wGLH/UibC5Rpwg+lva//N/enQeXebr56evF30Zf7MKkGS7t/vJuO7z3gpLywCuImgpWJsEVY3rKzUpubp688cCfmL3lixTU6QGhO3aRuAajolJ67CGHhZg7wfLR9CxjHcTxABEiQPtwOqJuMNuAiwX0Ch4EBLPahI3UsMM9cl/BRaJQWEgFb6gHPE7681AWuz3A3VlfghnobeD3yxnNFffLPoX6THp410hzo54xrCs8ZGuMzGgg9jJBwLL9TFoTQIy3US1+PwHtn9p3r0iHFdYFnjo5FZscH/sYzznnUi8D9fCe/1BWe58BIG6Sdsr39Oq+DTf4D88a5QCAdWeqB72JB+eJHu2qipxf1xtedussKbNTdwM4E1wI+gVT/OUZP8onrC1ELuAadtsA08ExTD6k7PHeUF+XD8dQT342B61M3OJ9rUt94lkkbZYoubh1OA6xcn+eP0RaswdQbrpUrm0Ft3jbdq1atUpcuXXT11Vfr8ssvdyeF8be/dejQwY1Ze/HFF7vD9Z999tkhkP3jjz/cCAn4pOJ/G0r/AHHSTNzd7GxYedMCFX9zDfyNmWy3Zs0a2/JIA/RlsmJsbGwoVTcvrceA2lx5YebWi9eukzsNmOkYNDoCcUDQWad51mJAy565ozXAYgl4YhXGBYVOnW/1jBS96JThE33Hjd5Surmaf4PavGm7ATF8QydPnuwusHDaaafp9NNPd31nL7vsMvnbpZdeqgIFCuiUU07RnXfe6U4m4zwgDktnw4YNNWrUqJAK9YU1denSpfriiy/00UcfZXlj8QnOwwc58J9v+cUXuVOnTurcubNteaRB+/btNXbsWLfTkLZzEVgmQfndoNYgwiA3z+uAP5qA5e6PtzwrHQDLiAVRLXAjwGc90DoZKbCW1Xzune4toIALAr6t6JerYBfEzwGjMIwiVL7Ds9Ri7c6qblk6zqA2b5pnwAz/2BYtWujGG2/U7bff7q4axsph9957r7v534mGgD8pPrcsn7tr1y7XNeHtt992rbi4J7BoQ6j8w0qLm0XlypVdl4siRYq4q6axclpmG1BP/tNOFCMcmh/P9/7771etWrVsyyMNqJuA7eLFi4+ymAd9/TOozd3GIYgbxiw1bpb+PKkPDI3jz8zQMYHzWdqYBUTwqa1WwltIBHeHSIG0nNRF37cb/1iWjcbnGXeKcNcM9wkmCDJpDX9sJpbhnpATDTM8x6A2b5pqwHTEiBEqUaKEu9jCyJEjXcgFdOfPn39ow7VgwoQJ7gQyVhnDEkmYL/xt3333XdWuXdudSPbbb79pxYoV+uuvv7RhwwYdPHjQhQ6smEAgbg5//vnnoW3dunWutRf/SP7xifWX6AqBxxF9Ad9d/gGP+PoyzO8fQyxdhqKzY7XDhYCJceXLl1ehQoXc1dPI27E2FqAYMmTIUVBL2knTJ5984lp9P/74Y9mWNxpMmjRJ3333nbZv3+7WiZD6z6A2dxsHg0LTM506gKWW6AVEx2ByEBPQHijjxVPG9zKtz2WG8JHOtSPpWOLI4tdKZ4DIG/j14qsczhoAsEQMaVTNmzSYXuza486/QW3uN9uA5o8//ui6DjA57JVXXtHatWvTvRGwCDg2b97cjYCAZRdoDYTapk2bqmvXrnrxxRfVsmVL9e3bV3PmzFFMTIy7MbmK37nGc889p6efftr12Z09e7YLiKSH5Xf5+/nnnz90HCHGgMOdO3e6E7CwBk+fPt09l2sRP7dNmzZauHBhtsCW+2HpmzJligvs48ePV1Y2gIrQZ2ndDxAOsMUCbFvea4D+fmco3UobrDsNasO6QTzuxi7CIcr0C29gtPL9t3wNanO3hQZSsdL269fPHXpnuHzWrFnpghp35vhNmzapbdu2wr/2kUcecSdDAbUs1oC1s1q1ai5oYv0kpi2RFDgeqy1gi1V19OjRLuziqgDYVqpUyYXSuXPnuoD8/fffq1WrVnriiSfcsFmkj3vhJsDEK6AXoG3durV7TP/+/fXyyy+77g+sdAZoA6v2zxQIWgUMag1qDVytDlgdiOw6YFCbu000Q/UzZsxwfWbxke3Tp48bwiuzu2Apxe3gwgsvdP1ugVSg9r333lOpUqXcJXWXL1/uQiVuBcAmsMwkND/ebeD1mb2OVffuu+92Q2ixutewYcNUsmRJ9xzcDXwL8e+//+5OQsMaC7xiFZ42bZrrkgDoTpw4UbgFfP311240A86zf6ZAUCpgUBvZjZnBjJW/1QGrAwa1uds84+sKbPpuAhkNpwfeFV9X/Gofe+wxdevWzYVg3/2gZs2aGjhwoOtnyzkA8Ouvv+6uTsYsdeLYMlwMCDPcT8QE9j/66KOulfeNN95wz2Vov0qVKq4VlniwHIcFmYUhGNKfOXOm6tSpo6pVq7qregGzWIpxa8CCjCXYXwUtMO323RQIGgUMaq1BM6ixOmB1ILLrgEFt7jbJ+CICpAAgbggA47Gsm5zDZC/cEJi4BaT6UMtMf1wE/Ik7u3fvdi24+LwCr/xNPFsssyzegNsBLgssT0vEBaAWaAZeWfgAaK1YsaIbExdLLgsjMDENqCUaA/F0Wd6WyAVci+9EZ/B9b0PS1zJ3iziTq6UqNTlBcft3afOG9Vq3dq3rS71u/Ubt3Ltf8YnmvpGJeMf/k0FtZDdmBjNW/lYHrA4Y1B5/W5rbVwCCA6F26NChh6CWyVz83ahRI73//vtuRAQmfwGkuBjgF4vFlkleQCkxbgFmohoQPYGZ7QAs8WPvuusuNW7c2F3F68svv3QtxVh4mdRFCC1/++abb1yf2vQWRsjtvIfq9VJTkhR3cLc2LPtFsyeNUP8+fTVo4CAN7Ndb3bp00ch3P9SPf67XnpgkpZgHR94Us0GtNWgGNVYHrA5Edh0wqM2b9vV4rupDLW4CNWrUcCd24V6AtZaoB0RIwPf1hx9+EL629evXV7169VxYJfQV/rFELcAiSygxJnmx/O5bb73lhv7Casv1mIDGZDEmkxFBoWPHjq5bA1CL7y7ncT1cFQDi7Ib2Oh4NQuvcFMVHbdOyOR+qb4tH9Oij9fVy/7f0+fSvNPOzcerXuqEeeehhPdtjtKb8skZ7Ysximyfla1Ab2Y2ZwYyVv9UBqwMGtXnSvB7XRX2oZaIY1lbcCvDRJeLBM88840Y3wN8Vqy2uA/jcAr9ENsANgYlkACuuA7gXAKjEvOUYYJcJYVyrbt26rmsDMW5xe8Ayy/K9zz77rF566SX3OD5Z1Sy7Yb2OS4CQOzlZ0bv/0fcT+qlR1ZJ64Pn+mjp/lXbtPaADO9dq/sReala7rIpXradWw6ZoyaYDIZfDkEiwQa01aAY1VgesDkR2HTCoDc7mGqvozz//7C68gGWWcFx8AqT4txLhgBBbuAQwGY0JZoTy4hiWkSWaQu/evV1rLu4HWGOJl8t1CNsF3OJvy7K0hAXDVxYXhXnz5rkTxQKP69mzp2u1tZBeGdWVFMXu36JF336sIb166M3v/9b2g/FKTsXHNl4HVk3X8Bdqq3jx8qrRepi++XNrRhey/cejQNI+adNQaf4VtpkGVgesDlgdiMQ6sLbj8bQiQXWuE1SpOc7EAJnAJtZY3AWwtrKAA+G58Lf1J2xh1WUyGhPT+N0/hr9xVyA6AjDKJyDMdfyNSWZMSuMa/OMTmOY8/1ocizXYX3XsOLMVpqenKikxRnu2bdCK5X9rw/4EJXkLuUmpSUra+bPe695I5UqW1/0tB+vrZZvDVIcTnK2UWGn/XGlDb9tMA6sDVgesDkRiHdjz5QluiHLv9mEFtbkni10pXxRITVVKcrKSEpOUHDARDEvt/r8+12tt6qhi5Rp6ut97+m3D3nxJkt3EFDAFTAFTwBQwBUJTAYPa0Cy3sE51YvQOLXi/m1rVqqRaj72g4Z//ps0Hk8I6z5Y5U8AUMAVMAVPAFDg+BQxqj08/Ozu3FUhJ1rZlM9Xn6ftVu2Y9dRk5RYs27FdSgCU3t29p1zMFTAFTwBQwBUyB0FfAoDb0yzB8cpCCL+0yfTq0jeo80kDN+76jOcu3KM6ieYVPGVtOTAFTwBQwBUyBPFLAoDaPhLXLZk+B1NQUxexYri9GtdUzjR9X60Hva/qiDdodmyQz0mZPSzvaFDAFTAFTwBSIRAUMaiOx1IMtz6lJSj64Vb9OGqz6NWvpiXZDNX3BKu2KSTxiAlmwJdvSYwqYAqaAKWAKmALBo4BBbfCURWSmJCVJiQc2af0P49X5scf0cLOBGvf1Ym3eG6Pk1BQlJyUqIT5BiUnJZrGNzBpiuTYFTAFTwBQwBbKkgEFtlmSyg/JGgRQlxuzW2t+m6M229fV4o04aN2uZ1u6OUUJyqlKTorVzyzqt+HuNNu7cr8S8SYRd1RQwBUwBU8AUMAXCQAGD2jAoxFDNQkpinHb9s1CThr6gapUq65XXPtfitVu1c89e7d23XzvXLdGsKR9o9Duf6LvF6xQfqhm1dJsCpoApYAqYAqZAnitgUJvnEtsN0lcgWQkHtmjJV2+rRe27dMH1JdSkbR8NGDREQ4cM0WvDhuvVni/piaZNVf/Fwfp43kpZpNr0lbS9poApYAqYAqaAKSAZ1FotODEKpMQpausSfTuumx6qcKuuL1RMxUuVUYkSJVWiRAmVKlVKZUoV0x2V7le9jqM1c9HGE5NOu6spYAqYAqaAKWAKhIQCBrUhUUxhmMikWEVt/Uvzp49Tr26d1alzF3Xq1FHt27c/tHXs2EFdBwzTO1/M08qt+8NQBMuSKWAKmAKmgClgCuSWAga1uaWkXSd7ChDZICFGB/bu0KZNm7R58yZt2rRRGzce3tz927Zr9/4oxSXaCgzZE9iONgVMAVPAFDAFIksBg9rIKm/LrSlgCpgCpoApYAqYAmGpgEFtWBarZcoUMAVMAVPAFDAFTIHIUsCgNrLK23JrCpgCpoApYAqYAqZAWCpgUBuWxWqZMgVMAVPAFDAFTAFTILIUMKiNrPK23JoCpoApYAqYAqaAKRCWChjUhmWxWqZMAVPAFDAFTAFTwBSILAUMaiOrvC23poApYAqYAqaAKWAKhKUCBrVhWayWKVPAFDAFTAFTwBQwBSJLAYPayCpvy60pYAqYAqaAKWAKmAJhqYBBbVgWq2XKFDAFTAFTwBQwBUyByFLAoDayyttyawqYAqaAKWAKmAKmQFgqYFAblsVqmTIFTAFTwBQwBUwBUyCyFDCojazyttyaAqaAKWAKmAKmgCkQlgoY1IZlsVqmTAFTwBQwBUwBU8AUiCwFDGojq7wtt6aAKWAKmAKmgClgCoSlAga1YVmslilTwBQwBUwBU8AUMAUiSwGD2sgqb8utKWAKmAKmgClgCpgCYamAQW1YFqtlyhQwBUwBU8AUMAVMgchSwKA2ssrbcmsKmAKmgClgCpgCpkBYKmBQG5bFapkyBUwBU8AUMAVMAVMgshQwqI2s8rbcmgKmgClgCpgCpoApEJYKGNSGZbFapkwBU8AUMAVMAVPAFIgsBQxqI6u8LbemgClgCpgCpoApYAqEpQIGtWFZrJYpU8AUMAVMAVPAFDAFIksBg9rIKm/LrSlgCpgCpoApYAqYAmGpgEFtWBarZcoUMAVMAVPAFDAFTIHIUsCgNrLK23JrCpgCpoApYAqYAqZAWCpgUBuWxWqZMgVMAVPAFDAFTAFTILIUMKiNrPK23JoCpoApYAqYAqaAKRCWChjUhmWxWqZMAVPAFDAFTAFTwBSILAUMaiOrvC23poApYAqYAqaAKWAKhKUCBrVhWayWKVPAFDAFTAFTwBQwBSJLAYPayCpvy60pYAqYAqaAKWAKmAJhqcD/D1hSvBK/gfM6AAAAAElFTkSuQmCC[/img][br][br]Volume[br][br][img]data:image/png;base64,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[/img]
Atividade
Explore o simulador de área e volume de pirâmides a seguir:[br][br][list][*]O botão deslizando n permite variar o número de lados (que é indicado abaixo, em "Nº de lados"). [/*][*]O botão deslizando "lado" permite alterar o tamanho/medida dos lados (que é indicado abaixo, em "Medida lado").[/*][*]O botão deslizante h permite variar a altura da pirâmide (que é indicada abaixo, em "Altura (h)").[/*][*]O botão deslizando o permite visualizar a planificação da pirâmide escolhida.[/*][/list][br]Abaixo de todos os botões, há as informações da área e do volume da pirâmide escolhida.[br][br]Agora:[br]i) Escolha um número de lados, defina uma menina de lado e uma altura, e observe a área e volume obtidos.[br]ii) Agora, sem alterar as demais informações, aumente o número de lados e observe o que acontece.[br]iii) O que aconteceu quando você aumentou apenas o número de lados? Por que?
Prismas
Área[br][list][*]Área Lateral: soma das áreas das faces laterais (triângulos). [br][/*][*]Área da Base: depende do polígono que a determina. [/*][*]Área Total: soma das áreas das faces laterais com a área da base. [/*][/list][br]Volume[br][br]Todo prisma triangular pode ser decomposto em 3 pirâmides triangulares de mesmo volume. [br][br]Como o volume de um prisma qualquer é determinado pelo produto da área da base com a altura, o volume de uma pirâmide será um 1/3 do volume desse prisma. [br][br]Em outras palavras, o volume de qualquer pirâmide é determinado por:[br] [img]data:image/png;base64,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[/img][br][br]Observe o simulador de prisma a seguir, em que estão identificadas as três pirâmides. Clique no fundo branco para rotacioná-lo e enxergá-lo melhor.[br][br]
Atividade
O simulador a seguir apresenta uma representação de um prisma e uma de uma pirâmide. Observe que a pirâmide tem 1/3 do volume do prisma apresentado. Varie a medida da base (usando o botão deslizando h) e a altura (usando o botão deslizando H), e observe como a área e o volume de ambos variam.[br][br]Escreva no seu caderno as suas observações.
Corpos redondos
Corpos redondos são os sólidos geométricos que possuem suas superfícies curvas. Eles também são conhecidos como sólidos de revolução, por serem construídos a partir da rotação de uma figura plana. Exemplos de corpos redondos são a esfera, o cilindro e o cone.[br]
Esfera
Área[br][br]A área da superfície esférica é dada por:[br] [img]data:image/png;base64,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[/img][br][br]Observe a simulação a seguir, que permite que se varie o raio da esfera, observando o impacto no valor da área.[br]i) Controle o botão deslizando R para variar o raio, e observe, logo abaixo, o valor da área da superfície esférica.[br]ii) Para simular apenas a área de esferas quaisquer, digite um valor de raio na caixa de texto e observe, logo abaixo, o valor da área da superfície esférica.
Volume
O volume da esfera é dado por:[br][br] [img]data:image/png;base64,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[/img][br][br]Observe a simulação a seguir, que permite que se varie o raio da esfera, observando o impacto no valor do volume.[br]i) Controle o botão deslizando R para variar o raio, e observe, logo abaixo, o valor do volume da esfera.[br]ii) Para simular apenas o volume de esferas quaisquer, digite um valor de raio na caixa de texto e observe, logo abaixo, o valor do volume da esfera.
Cilindro
Área[br][br][list][*]A área lateral é dada por: [/*][/list] [img]data:image/png;base64,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[/img][br][list][*]A área total é dada pela soma da área lateral com o dobro da área da base (área do cilindro):[/*][/list] [img]data:image/png;base64,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[/img][br][br]Explore o simulador de área de cilindro a seguir:[br]i) Use o botão deslizando Altura para variar a altura dos cilindros;[br]ii) Use o botão deslizando Raio para variar o raio dos cilindros;[br]iii) Use o botão deslizando Desarrollo para planificar o cilindro;[br]iv) Observe como a área lateral e a área total variam quando se altera a altura e o raio dos cilindros.
Cone
Volume[br][br]O volume do cone é 1/3 do volume do cilindro.[br][br]Para comparar os volumes do cone e do cilindro, explore o simulador a seguir, usando todos os botões:[br][br]i) Modifique o raio simultaneamente da base do cilindro e do cone, usando o botão deslizando r, e observe o que acontece;[br]ii) Modifique simultaneamente o comprimento da altura do cilindro e do cone, usando o botão deslizante h, e observe o que acontece;[br]iii) Observe que a primeira marcação em vermelho do cilindro marca exatamente 1/3 de toda a capacidade do recipiente cilíndrico;[br]iv) Despeje o líquido verde do cone no cilindro e observe quanto do cilindro é preenchido com o volume do cone.[br][br]
Área[br][br]A área do cone é dada pela soma da área da base e da área da superfície lateral, conforme apresentado no detalhamento da simulação a seguir.[br]Explore a simulação:[br]i) Varie o raio da base do cone, usando o botão deslizante r;[br]ii) Varie a altura do cone, usando o botão deslizando h.[br][br]O que você observa?

Information: Áreas totais e volumes de pirâmides, prismas e corpos redondos