IM Geo.5.13 Lesson: Building a Volume Formula for a Pyramid
Two solids are shown. For each solid, draw and label a prism or cylinder that has a base congruent to the solid’s and a height equal to the solid’s.
Here is a triangular prism.
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[/img][br][br][size=150]Suppose we split the prism into pyramids like the ones you built earlier. The first pyramid is split off by slicing through points [math]E[/math], [math]D[/math], and [math]C[/math]. The remaining part of the prism is sliced through [math]B[/math], [math]C[/math], and [math]D[/math].[/size][br][br][table][tr][td]P1[/td][td]P2[/td][td]P3[/td][/tr][tr][td][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPQAAAELCAYAAADunKuGAAAgAElEQVR4Ae2dC/xVUxbHiTDpQcygVMxMDA2jKAZFHiOhiRkkw/SOGZI3PTxmxtsMoxBixvsV41njESmmlEdISJnyKJRGROXRns93s/+de/7nefc5955z7tqfz/3ce8/Ze599fvv8zl577bXWXktJEgQEgcIgsFZh7iTCjXTr1k2NGzcuQk7JIgjkE4GaIfR///tf1aZNG9W/f/989pS0WhCIgEAhCP2///1PTZo0qe7z8ssv17v1O+64Q6211lqqU6dOasGCBfXOywFBoAgIFILQ//jHP/Tou9deeyk+J510Ur2+6dWrlyY0pH7kkUfqnZcDgkARECgEoc8991zFxy8hbm+99dZq00031aQWsdsPKTmedwQKQ+inn37aty8Qt7fccks1bNgwNXDgQLXDDjuI2O2LlpzIMwKFIPQVV1yhfvGLX2hxG8XXv/71r5I+admypWrdurXaY4891JAhQ1THjh3VySefXJJH/ggCRUCgEIR2dgQKMkjtVIzxe8aMGerMM89UI0aMUD179lTjx493FpPfgkAhECgcoemV3//+98pLBP/3v/+tVq5cWYiOk5sQBLwQKByhGaG32morhSLMnYTQbkTkf9EQKAShGZH33ntv/UHcZhnLKwmhvVCRY0VCoBCENh3C6ByUhNBB6Mi5IiBQKEKHdYgQOgwhOZ93BITQee9Bab8g4EBACO0AQ34KAnlHQAidwR5EQ+90NslgE6VJGUVACJ3BjkFrzwf7dJxN0OBLEgSiICCEjoJShfNgxupcR//1r3+tMG+VJAiEISCEDkOoCuebNWtWclXI7OUSWpJJ/ggCSikhdMYeA0xWEbOdSQjtREN+ByEghA5CpwrnvHy7mU+LyF2FzsjhJYXQGes05stOxxLm0pizOufUGWuyNCdDCAihM9QZNAXyGhNW/Lo32mgjX9v0jDVdmpMBBITQGegEZxNMXDS+EbVlZHaiI7/DEBBChyEk5wWBHCEghM5RZ0lTBYEwBITQYQjJeUEgRwgIoTPSWd98840aPXq0Ouigg9Rbb72VkVZJM/KGgBC6yj32/vvv68CFm2yyiSYzWu11111XRyflnCRBIA4CQug4aCWY94UXXlADBgzQgf+PO+44NXPmzLraP/jgA23q2aBBA3XWWWfVLWPVZZAfgoAPAkJoH2DSOsw2PAcffLDabLPN1Hnnnac+/PDDkkuxBm0MS95++21N+saNG6s///nPatWqVSV55Y8g4EagZgmN0Qb7XJkPHk5pprFjx6pddtlFbwgwZswY30tBaKzFnInRu3fv3vol8Le//c15Sn4LAiUI1CyhsZlO2z76k08+UX/5y1/0NjwHHHCAeuCBB0rAj/vnueee02T/8Y9/rIJeCnHrlfzFQaBmCY0llhFtk+7O119/XZ1wwglauYW117Rp02JdglHaLxQxFT3xxBNq//33Vz//+c/VrbfeGqtuyVxsBGqW0PgcM4c1nyS6eeLEieq3v/2tom623Zk/f35Z1ULoKP7PjPi777672nXXXdX9999f1rWkULEQqElCGw8m46oYNBpG6e7bbrtN7bnnnmrbbbfVYnylt9u5/fbb9dx8n332UYQqllS7CNQkoSEworBN+uKLL9Tll1+ufvrTn+qABHfeeadNdfXK8tKJO8e/4YYbVNu2bbUWfcqUKfXqlAPFR6AmCY04W+6oPG/ePHX66acrlpKOPPLI1ObhiN1xCW0e1yuvvFK1aNFCt++ll14yh+W7BhCoSUKjEOvTp0/d/DmKiyIa5mOOOUatt956en77xhtvZPrxwJT0wgsv1PP5fv36qTfffDPT7ZXGJYNATRIa7bbzw2jol+677z6tUSbwwEUXXVRRqy1eNLx4bNKyZcvU8OHDVcOGDbXm/b333rOpTspmHIGaJHRYn3z77bfq6quvVjvssIPWIJcrnoddJ8p5DGCSSAsXLlRDhw5Va6+9ttbAL126NIlqpY6MIVA4QjOq+YnQYZvVYUM9cuRI9cMf/lD16NFDTZgwIWPdZd+cuXPnqkGDBqkNN9xQ/elPf1KV1sjb34HUEIRAoQiN6IwJJ8tRXsmP0C+++KIaOHCgNgPlYX/55Ze9ilflGG3p2bNn4td+5ZVX1NFHH61+9KMfaW194heQCquCQKEIjfaaT1RCP/roo+qQQw7RDzVlFi1aVJVOCLtomi+YqVOn6hfG1ltvra699tqwpsj5jCNQGEKj5DIhcMMIfeONN6qOHTuqHXfcUR7i7x/QJ598Uv3qV79S7dq1U7fcckvGH1tpnh8ChSC0EbX5hthuQmOOuccee6htttlGLztttdVW6owzzlArVqzwwyVTxxmhd9ppp4q06cEHH9RYderUSY0bN64i15SLJIdAIQhtRmZg8SL0u+++qxiB0FqjDGLe2LJlSz1nRtRkZMKZ4qqrrtKKMIxHspaCltbSaCuWb+3bt1ddu3YtpHIwDcyyUGfuCW1GL+Nkwbot2696LTWhFNttt90UvskklqcwEGFUuuyyy7T2l7JYWWFAgjfTYYcdpqOGIKZjTvnRRx9lod8q1gawQrIh1tnkyZMrdl25UHkI5J7QRsw2hiKYS2Kn7aVIgtCPPfaYDhTw6aefBiKGQcaMGTPUHXfcoS3KCDBAgAI8qZo3b65fDMcee6yOJHL33Xfr6y1fvjywTpuT3B8WbtVKf//737VUc8QRRyjCJ0nKJgK5J7QbVi+R2+Qxy1Z/+MMf1B//+EdzOPY369WTJk1S119/vTrttNP0mvV2222n1llnHdW6dWu13377qeOPP17bYqNJnzNnTuxrZLEAEg3WchtvvLHq27evlm7Saie2BEbqMt9pXatI9RaO0IzYYYYl5MF4BFImnSAvccMIFUTwv3333Ve1atVKBzuA9Mz3ce7AM4rrY8EVJ/ndW5w6bPN+9tlnOlIp0xJejOgokk7GI85IXl4SV9LXLEJ9hSN0UKeYEZo8jK5oviuVEMfxfLrrrru0hRaOHgQmYLRDjGcZDUMPRiPEfMRaiONMPNS2bp/O+mx/E+DwlFNO0cpFVg2WLFliW2Vdee7TSw9Sl0F+eCJQs4QGDcL44GpY7QQxUDiheCPSyaGHHqrXgxkB0cajaR48eLC26HrooYe05xTib1YSqwK0r1GjRur8889PZDkQi78sSCNZwThqO2qa0NOnT9fLWFkOaI/tNTblKKUQbyE3WnicLIiQQkhgRkmCBj711FOqmt5Ur776qvrd736npzOsGtgkorGy4sDHHQXVpt6il61pQtO5iIq2LoqVfEgQuzFv/fLLLxX22Pfee6+64IIL9D0QX2zTTTdVTZo0UR06dFC9evVS55xzjiJE0vPPP18x10+CIrLchwHPNddcExse5s2M0DJ/jg2dqnlCf/XVVwrjEhRZRUmLFy9WBGRgDjps2DAduBAz1w022EBtvvnmqkuXLjqA/yWXXKJwzyRK6ddff5347RM0kfDF22+/vbr55psj18/So9vaL3LhGs9Y84Sm/1FCpR1oP8nnjLlluX7SlGUtno3xhgwZorp166Z+8pOfaMUW8dG6d++uJQD8wQkXvGDBAuumP/zwwzqIIoo/JIqwhIhd7v2F1V3080Lo73sYRRRB8fOQELvLjTfmd39ss/Paa6/pcMAXX3yxImxR586dtREOyi5syQ8//HAd/YTRFi+tuFptNPxMBZgXjx8/3q8pWpNfaVNX38bk7IQQ+vsOmz17th6lZCvX+k8wO4AwL8YLa8SIETr4IHbexi6e5T8MTTA6waED5VhQ4AS0+Sj0kAaeeeaZ+heUI2UjIIR2QMeSC55ZeUiM0lkQS43jC8qvk08+Wdt8E0oYLTW6CebQJ554onZ8wQ7gnXfeqYN31KhR2uiGkR8zW0n2CAihXRjikYVomPUEobNseEHUUaQedvdgCYuIMNiis+S2/vrra8+33/zmN9rxhZdo06ZNtVaeMpLKR0AI7cIOww2URFky3HA1Mfd/cYzBBoAdP9BmH3XUUXpuDdHZ7F4MSsrvYiG0B3aYZbLRetYT67RJK8eqfc9Y7yW9C0m176mS1xdCe6DNvJA1W4IHZjkxkkHqIiXEbyF0+T0qhPbB7q9//ateo/U5LYdTQkAIbQesEDoAv1/+8pfaYSIgS9VPMUIXyapKCG33SAmhA/DD2QFTSaKXZDUhdqPxLkoSQtv1pBA6BD8ijxBAUFJlEBBC2+EshA7Bjz2g8GDKskUTBiZZCnwQAmngaSF0IDyhJ4XQoRApdd1112nngghZq5IFu+ei2D4Loe0eISF0RPwI/EeQAUnpIiCEtsNXCB0RPwIENG7cWBHxM4vJBNXLYtvitEkIHQet+nmF0PUx8T1CtM6sRjcRkdu322rqhBA6RncT3YSwOsTazmrKux20jNB2T5YQOiZ+OBRUauO4mE3Tdt15NzIRQsft9dL8QuhSPCL9YwN2AvNJSh4BIbQdpkLoMvAjqB4O/FmMbsJcOs9itxC6jAfSUUQI7QAjzk92uCDSRtYS2u48u1QKoe2eKCG0BX5sN8vOk5KSQ0AIbYelENoCP/aVJvTt6tWrLWpJvmie/aSF0HbPQ2EIzdyR3RyD1mOdm9XZwbamNFu/nH322WsOZOAXtt1ZjjcWBJEQOgid8HOFIDRbwxAonyWbNm3a+PoHp0FoAtET3YSdJSXZIyCEtsOwEIR2anUZodFAe6U0CM11Lr/8cnXggQd6XbJqx/CRzmN4IiG03SPj/eTb1VnV0hCa/Za9UlqE5lq77bZbpqKbIHZnIW63Vz8EHRNCB6ETfq4whGbOOHToUB372T0yHXHEETo+GHsmsaTD3k7OUT0cpvAcbMxGdBP3Ju3hJSWHEwEhtBON+L8LQ2gjYjKfJqC7M2EIQsD3AQMG6D2bOE/87aTTcccdp3eJSLrecuvjxZa3UVoIXW5vf1euMIR2wgBh3aM059MUuamfPaA22WQTNXnyZGdzqvYbDPIWb0wIbfe4FJLQaLy9HuS0CU1XjBkzRu/aaNcttVtaCG3X94UgNATGTxlzTDyhELu9UiUIzXWzFN0E3UKexG4htNeTG/1YIQjN7SJe8qm0YYkX1EQ3adKkiVq4cKHX6YoeQ1JJWgGY5g0Ioe3QLQyho8BQqRGatpx22ml6z+Qo7ZI8axAQQq/BopxfQuhyUItQZtWqVdpqbfz48RFyp5slTx5YQmi7Z0EIbYdfYOnbbrtNtW/fPjBPJU4icgdNRSrRhqjXEEJHRco7nxDaG5fEjhLd5MILL0ysvqJXJIS262EhtB1+oaVnzZql1l57bTVnzpzQvGlmwHElD4EPhNB2T4EQ2g6/SKWzEN0kL5puIXSkR8o3kxDaF5pkT7Rr107dc889yVZaRm1Zn0sLocvoVEcRIbQDjDR/Ykvetm3bNC8RWjcGN1kPfCCEDu3GwAxC6EB4kj159NFHq2HDhiVbacFqE0LbdagQ2g6/WKXnz5+v1l9//apGN0HkzrLYLYSO9UjVyyyErgdJugeqHd2EfaSzbNsthLZ7/oTQdviVVXrXXXdVN910U1lli15ICG3Xw0JoO/zKKv3kk0+qLbbYQn3++edllbctlGXLMSG0Xe8Koe3wK7v04MGD1ZAhQ8oub1MQA5Osit1CaJueVUoIbYdf2aWXLFmSqegmZd9IwgWF0HaACqHt8LMqTXSTLl26WNVRbmF8x7NoPSaELrdHvysnhLbDz7r0vvvuq6666irreuJWgNgNqbOWhNB2PSKEtsPPuvS0adN0dJNFixZZ11WECoTQdr0ohLbDL5HSp556qg4vnEhlMSpBMZY1sVsIHaMDPbIKoT1AqfShlStX6ugmEyZMqOilIbRXdNSKNsJ1MSG0C5CYf4XQMQFLK/utt96qOnTokFb1ualXCG3XVUJoO/wSLc1WPZWOboJyLEujtBDa7pESQtvhl2hpE93k7bffTrTeoMqyNo8WQgf1Vvg5IXQ4RhXNQaggNter1SSEtut5IbQdfqmU3n777dW9996bSt1elfISyYrYLYT26qHox4TQ0bGqWE7E4G222aZi18uSs4YQ2q7bhdB2+KVWmugmw4cPT63+rFYshLbrGSG0HX6plWbUXG+99SomCmcl8IEQ2u6REkLb4Zdq6csuu0x179491WuYyrNiMSaENj1S3rcQujzcKlaqU6dOmY/UmSQYQmg7NAtBaELTskf0XnvtpU0o/ULVVnL3SbtuWVP6iSeeUC1atFDLly9fczClXxi2VNsDSwht17mFILTzISSiZbNmzTxRySOhuZFBgwb5bmLveaM5PiiEtuu8QhDaDcFaa3nfVl4JvXjxYtW8eXM1ZcoU960m/r/aIX6F0HZd6v3k29VZ1dKs4aKxdaZevXqpww8/XPE9duxY9Z///EcRAihP6dprr61IdBOmLtU0MhFC2z2VhSI0DyLzaPcoQxCBW265RfXu3VsTG68mtqbJW9pnn33UqFGj8tbsWO0VQseCq17mwhAaMrdp0yZwdMmryG16berUqapp06bqww8/NIdS+a7mEpYQ2q5LC0HoKGQGprwTmns45ZRTVP/+/e16PaQ0Uk61xG4hdEjnhJwuBKHRau+0005q7733rvt4LV0VgdArVqxQrVu31i+nkL7N5WkhtF23FYLQLFu5P15iYxEITXcT3WTnnXe26/mQ0ugY3LqIkCKJnBZC28FYCEJHhaAohOZ+e/TooS666KKotx47H3tJe70UY1cUs4AQOiZgruxCaBcgefn72muvqQYNGqi5c+fmpcmR2imEjgSTbyYhtC802T9xzjnnqCOPPDK1hv7zn/+suNgthLbrTiG0HX5VL010k3HjxqXSDiKZVFrsFkLbdaUQ2g6/qpe+//771bbbblv1diTVACG0HZJCaDv8MlEaC7i0opsMHTq0omK3ENrukRJC2+GXidKIxQ0bNlQzZ85MvD2s51dy+UoIbdeFQmg7/DJT+tJLL1UHHXRQZtpTbkOE0OUi9105IbQdfpkq3bFjR4VmOunUp0+fio3SQmi73hNC2+GXqdKPP/64atmyZeLRTXBJrZTYLYS2e6SE0Hb4Za503qObCKHtHikhtB1+mStNdJONN95YPfvss4m2zcvPPNELfF+ZENoOVSG0HX6ZLH3NNdfoQA9JNq5S7pRCaLteE0Lb4ZfZ0l27dlWjR4/ObPv8GiaE9kMm2nEhdDSccpeLuGn4iScZ3YR4Y2mbggqh7R41IbQdfpkuTXSTAQMGJNbGtMlMQ4XQdt0lhLbDL9Olv/zyS9WqVatEo5ukvXwlhLZ7pITQdvhlvjTRTpOMboIYnyaphdB2j5QQ2g6/XJQ+5JBD1MUXX5yLtgqh7bpJCG2HXy5Kv/rqq2qdddZR8+bNS6S9ac6lhdB2XSSEtsMvN6VHjhypdw5JosHEP09L7BZC2/WQENoOv1yV3m677VKLbpIUEEJoOySF0Hb45ap0ktFNJk2alMq9C6HtYBVC2+GXu9JHHXWUGjFihHW72Us6jSSEtkNVCG2HX+5Kv/POO2rddddVr7zySmba/u2336rPPvtMW7UdeOCB6rLLLtNb5z733HOZaWNeGiKEzktPJdjOSy65RB188MHWNdoGU8DhY4sttlA77LCD6ty5s2rXrp02V2V/76233lp5bWdk3eiCVyCELngH+91eEtFN2IfbRtu9YMEC1a1bN+0ZttVWWymIzOdnP/tZKvHR/LAo0nEhdJF6M8a9EN1kyy23VF988UWMUslmXbZsmSZ03759tcQAmTfZZBN1+eWXJ3uhGqpNCF1Dne2+1YEDByrC9Nqk8847L3bxRYsWqYkTJ6qxY8dqQjMF6NSpk2JDe0bsO++8M3adUuA7BITQNfwkfPzxx2qjjTZSNsondteImlDIPfzww+r222/XIvVXX32ljjnmGNWvXz+Feeq7774r3lZRwfTJVxhCY47IHtFBD1iRdp/06c/Yh6+++mq9p3bsghELrF69Ws2aNUvdc889imCDc+bMKSnJPJx+efPNN/VxWbYqgSf2n0IQGm0pzvesjQqhYz8DmtAQu5yEUsxLbGduPn36dB1W+LHHHlPvvfdeSfVXXHGFQlw3H2MfLoQugSn2n0IQmoeKD2QWQsd+BrTIjej90UcfxS+slIKcJhGkECuyMWPG6LXkTz75xJwq+UYBZvqLbyF0CTxl/ykEoc3dmwfE/Dff7P3EPI3P3XffrdhbeeXKlea0fCulTj75ZKvoJixBTZgwQeF//cILL6gVK1YE4opE5ZVkhPZCJfqxmiD0E088oRApe/bsqbWobdu2Vdg1S1qDANFNWMZCPA5K7HRp5rvke+ONNzSJ0VLPnj07qGjdOaQp9B2M5Hz4b5IQ2iBR3ndNENpAI0oxg4T3980336x22WUX75PfH4XQL774onrppZfUrbfeqsaPH6/mz5+vFV6BBR0nEa9RhiFRnXTSSQp3TBMmWAjtAKqMn0LoMkArchFMQlkX9kpLly5VrVu31kR8+umnFcteSSS038bZQwhth6gQ2g6/wpXGaQPnDWd0k/fff19hWYZtNaMp2mt3Qmzee++93Ycj/eflwM4cJCF0JMh8MxWK0IhyRlvqdccicnuhUv8Y0U1ws3z77bfVAw88oO666y6tSMQrCpEbpaJXMmKz1znnMchv+onf7G5pNOVCaCdS8X8XitBhty+EDkNIqa+//lq7VrZo0UKdffbZJSM1pRGN0WjbJMhMPYzKfJxeVUJoG2SVEkLb4VeY0vgjT506Vd14443qySef1HbWeD25E6Owk4DO84y2rGfbJCG0DXpCaDv0ClCarXKeeuopdcMNNyi2z/n000/r7qpXr14K8duZzKjqPOb8DaltkhDaBj0htB16OS6No8QjjzyiHSUYdXGUcCcUYyjICANMYpmJua5RYLnzm/82pBZCGxTL+xaRuzzcclHq888/19FAnI11Okq89dZbzlOevwnQjycUmmiztBREaObHaMLLTULocpH7rpwQ2g6/TJdGfG7UqJEOYjBjxgxfR4mwm2jfvr1efzYjbxChw+oKOy+EDkMo+LwQOhifXJ9FrN5ggw20o8TkyZOVn6NE2E3uv//+OpII5qGkKISOuoTlvrYQ2o1IvP9C6Hh45SK3cZS47rrrNKHDHCXCbsrE+nJ/+5VD7I5Ceq/yQmgvVKIfE0JHxyrzOXGauO+++9S9996rHSWMyJ1Ew3GtZOdJNOHlkjVKO4TQUVDyzyOE9scmF2dwA8VR4rbbblOPPvqodpQwDV++fHnZ5pimDuf36NGjVdeuXbVDhfO412/m2yjS4iYhdFzESvMLoUvxyM0/CPPss8+q66+/XhPHHZwAhweigdjGznYDgr12lOgmtA+PqrhJCB0XsdL8QuhSPDL/74MPPlD4d990003q+eefVyxNuRNEwi2REZJvv2AC7nJR/hNQcOONN07M08p9TSG0G5F4/4XQ8fCqWm4cJR588MESR4mojWHum2QihhghgMMSo7SfmahfWSG0HzLRjguho+FUkVysFTtdEL/55hvtKEGc6oceekjNnTs3djtYPrIx9PC6IAEAW7ZsqV0qvc6bYxAaCSFOEkLHQat+XiF0fUyqdgRRGkLjKDFt2rQ6R4mFCxfGbhNEIswPW8yUuyYcdFHm5mynk3QSQtshKoS2wy/R0sSuhoQ4SjBXdTpKlHsh5tGM0Mb/uNx6vMoR3eTSSy/1OlV3jOsaX+e6gwE/hNAB4EQ4JYSOAFLaWXjocZTA/5iYXl6OEjZtQElWzhJS2DVnzpypGjZsqLBI80uI3UJoP3SSPy6ETh7TyDW+/vrrekcJIpDiKGFE7sgV+GR0jsYQKi2xm8uzeTzRTZJKMkLbISmEtsMvdmkUSsZRgggqzh0lCDDgVIrFrvz7AnhFIWYjvmPVxZp0momwREFhkXnBRFWOCaHtekoIbYdf5NJLlixRzzzzjLr22msVjhL8dyZEYmJUO0dX5/ks/x43bpzabrvtfJuIlBD1pSKE9oUx0gkhdCSYys/EjoqMxMS8ZkcJ47HkrJER1cSpxggk7tqts65q/T7yyCPVOeecY315IbQdhEJoO/x8S+MogRhqHCV8MypVsnMEI3Sazg9B7bA5xxr5OuusUxfdxF0XS2dRxG4htBu5eP+F0PHwKsnNPllnnHFG3bFVq1aVOEqUIz7z4OeR0IBw0UUX6egmdYA4fiB2R1kPF0I7QCvjpxC6DNBMkQsuuEATmoeVdWM/RwmTP8o34nfU+WaU+iqdZ+edd9Z7XZV7XSF0uch9V04IbYHfmWeeqY444gjtKIFll5ejRJzqmUfzyXNCX9CqVSvP3ScZodG8ByUhdBA64eeE0OEY1cvBfBFHCRRBffv2VewoYZuKQGaDQf/+/dUpp5xi/pZ8I80EJSF0EDrh5wIJjcM8YWxwnseSacqUKVrpgeZ22bJl4bUrpXr06KH3DY6UOeVMNjtn4ChBOFscJSAzpDYit22zi0RmsCDWt4luEhcbIXRcxErzBxLaZIW8xKnigWYN9eGHH9YkZ86IYgiiIHKyVzCOBM6lGQhNWJwspHIIbRwl8D/GksvpKEEED6dSrJx7ZP3ZHauL/2mYapbTvnLLjBo1Su2zzz71inNfQUo/IXQ9yGIdiERovxrZBwkDCUYr9gxmBwaWalhHhQD83n333bUBP3kWL16s907yqy/t43EITQQQ7oeXlp+jRBStbdr3lOX6Ie4111wTq4lC6Fhw1ctsReh6tTkOMEovWrRIv6VZznjssce03TIEYaNwRnlGe7YvZfRPwrPIcXnPn1EIzVITUw2mGRCWpSivxJpq0oEDvK6T52OESCK6CS9yd/KbSwuh3UjF+58aoU0zvERuxFjm4WxLSqebLVmYr7N16YQJE/TGabNnz1aE3MH+OYkURGgcJTACQaoI21GCOS9SSJDomER7i1AHL75BgwaV3JEzEuIAAAteSURBVArLcn7afCF0CVSx/1SE0IisURKKJ4LB445HJEvmW+xPjDM9uyIyF2dnRJwbCMnz8ccfx3I13HzzzbUIbdqCFEFdmGVCdl4ycZIQOhwtIo8S3QT9Q5QkhI6Ckn+e1AnNpaNaCfk3U+l1TbSnjJ4Ex3v88cf1iEowgFtuuUVrnnF+wEcXsZlrrl69uqTK5s2ba/ND5v2I+36OEiWFAv4IoQPAcZxCmunUqZPjyHfPhJclnRC6BKbYf1InNKMsrnxpPvwYdOCGyEZsSAPMge+44w5NWJaZ0LayZsy2MITNYQM2RmanNj42chG3hCmn3iKWOeigg0qimyB2e9l2C6Htej9VQjNKGlPGNAntBwEGH0uXLlXnn3++4oHCeQBFVtOmTdXxxx+vcPtDFJw+fbqaM2eOQrNN4PqoqRr3FLVtWctnopt4jcrOtgqhnWjE/50qoU1zwtYeTb4kv9FOo6U2O0rwIBmRm+swOkNgiAyhITYEZ67OnJq5O/7J1EFZXgxuizAhdLweGz58uOrdu3ddIXB1L/0JoevgKetH4QjN8pdxlGAd2bmjBISOYgiCIuf9999XaL7Zy2n8+PHaQmzMmDFalEekRztP/C9E/XJsuFHCsTZfa2mbbbapcz6BzO54Y0JouyciUUKz3jxgwAD9YX3ZpEqM0FhwMcpi0GIcJRD5nSJe0LKVaWvQN0o26pw/f75WvqGEI142SjmUcyx7oaxDaYfyDiWe386Phx56qF6XD7peEc+B0fbbb+97a0JoX2ginUiU0Iio5lMpQjPKYVuN8gvTVJa+SKxzEv2DOTzfENGW0EGIEqmTZTSW04hMwvIay2y8YFh2QwnEi43luHnz5uk5PWvutZhQUJ577rn61hmlne6iQmi7JyJRQvs1JekRmrks5IUQxlHCeW1GZed+Tjw8LJ2kSWjn9d2/MYzBQAZDGQIB0g607Rhc3H777XWOLxjasBaO4U2REy/hBg0aaMMiCE3fmBREaIjPBnxXXnmlfkGbMvK9BoFME/qEE07QhiamucxVEaeNowQk8UoQ2IwAnDcvlGoR2quNRuRmzo/pKxKNcXzBNNY4vmAyyz0T0ghTWtulNq+2VOMY0zOsCN3Ji9CQnlDESF3MuVnuok8l1UegIoSuf9loR1q0aKHnqyi26EDjKIH4HJTchGbERiOdRUL73QeOL9hAM5rh+DJx4sQ6xxdGNExUUfpxjjwYy1CmnIROoBK29O62dejQQdv107dmlPYiNHYM5ry7DvlfikCmCb3ZZpvpjmTpibmnn6NE6S0pPTo7R+gsEtrGIYVRmtEad1VGb0Zx3Fh54YGVcXxhWhLlOocddpgu78Yx7f/Y7Ldu3VorEM2I6yY0RPaz+067fXmsP5OEZq6JNpRlJkahuMk9QvOwZGmERsJgS9Y0Rh18143jCwEp3I4vSCnM48GYlQHm99UiNP3ar18/deqpp9Z1sZvQxjCpLoP8CEQgM4Rm1EE77HSUMCJ34B14nPRSijH3yoLIzXyQlwvzQKcU4XEbiR5C+49YjobdOL6gZEIDT2A/QgYh1tMHaOoR95PeY8vrhpA0sNy75JJL9PzYTWiwMqO3V3k5VopA1QntdJRgXZf/JpVLaMojprGtTJ8+fSqybGXaHPbN6AypeUgrSeigdjEK4rqK4s04vrATpnF8Ya2dvkFxx3w7TIcRdC2vc0Q3IRAGuHgR2rms5VVejq1BoGqExsKKEZMRIglHiTW3tOYXIzUPiUlZGKFNW7JE6CCRmyU04/iCdZxxfMFqjrV/5sFY02FVx6oDVnblpC5dumhnGjehkayIFGpeIua7nGvUQpmKExoLKjS0jAA8BEEJMtKZSY1kQmhvtFGqoSmPk4zjC77rRuLA/p0pE/bwxvGFlzX28hjdBCk1me83btxYNWnSROsXnG2h/9F0E2vNaV/gzCO/v0OgIoRmLkanGyMKRs6wZBRZSc41hdClqDPaYaRhpiZR+qW0Bu9/eKyx1MjL2zi+oOQcO3asJjzGQFgUGt91HF8wqx08eLBq1KiROvHEE70rlqOhCKRKaOMowVwMbTW2zXESDxxvZxmh46AWPS+4Gk07L1BGwbQTxkHG8QUnGuP4QrAJDIawINt33321bzv5ynF8Sfseslx/qoRmeYR1UhtTRiF05R4fNMrVmqMax5euXbvqABQo4RjJcXxhZDeOL4z4xvElju965VCs7pVSJXScW8MgwnycfsdFJTTESUrEjYOzX17aU4kR2u/65rhbKcZx5t7G8YU5uXF8Ya6OUpW5OxIGy3HM6YlL53yGTN218J0ZQmN0bz7OzigqobP2cGXFgOPYY4/Vhi9R8XE6vqBtR+uO0w5aeHQ2xncdxxe09XGkxcMPPzx3a+CZIbRfBwqh/ZBJ7jhr9mYunVyt8WpCQmC0TdKbCh0O6+bG8YX1dBxf0OmwyoJ2n3V34/ji9l2H0MSmy1MSQuept1JoaxbIzG3RDtacEZ35TlP8Z9XFOL5gGWccX1DK8WLDkAUl7n777adXATB2Mn72KXRBolVmntDMM5Oaa2Zp2SrRXiyzMkiEJZ0JSsF3UliX2aS6YijonEZBdSdS/oEJMjbuOL4QLfass86q5/hSzqaNKTe7rvrME7qupQn8EEKXgmimM85vRshqp0otoYXdp1vkNo4veLFBarNpI2azYZs2hl0rqfNC6KSQlHqsEcCIaKONNtKfaozO7huA0CydhSWn44vZtBGxHfEdMR7LSOP4gkUe4n5c33XCNmHzHpaE0GEIyfmKI4DYzxw6C+I/yjqblwuKNjzKjOMLijjj+IKCDkWd2bQxKNAEgRXbtm2rLe2CDLSE0BV/XOWCURBgGoByrNoJ23Hm82kk4/hiNm1kiY2lNpbczKaNLMXhu969e3e9nRD27J07d9baetbm3UkI7UZE/lcFAaeLJCMzMcRsRsYkboKXCorDtAjt10bsMMymjWCATmHPPfdUBxxwgNp00021k4ohNlZ0rK+bJIQ2SMh3VRGAOIyGiNpZMHKBRLSD70oT2t0RWMqx2Z8h84YbbqjatWunl9VwfUWcN0kIbZCQb0HgewSYN/Ny4TsLhMYVlWAfmMUiliOi43vuNoSh+UJoeYwFARcCSAtmCpAFQrNcxto4n7AkhA5DSM7XFALMWVk6w0ecDwE2zP9qAMELhfmy8xPUDiF0EDpyruYQMGI2ROKDph3xm9/VSFwX5VzUJISOipTkq0kEIFQ1lWLGii8q+ELoqEhJPkGgCghAaJbwEP979uwZKikIoavQSXJJQSAOAkwDSEgLzZo1C7SgKxyhMUrgTeZllCDOGXEeI8mbRQTCRPBCEZo3GAoMYxDg7hAhtBsR+Z83BMKMbgpFaEZlxBPeYpDbnYTQbkTkf9YRYE2cfdCI5ILvOoQOSoUitLlRN6GJUzVy5Eh1+umnaz9W4kBLEgTygIBzGc1rGum+h1wTetasWTp+M9/O5CY0uzkMHz5ce6nsuOOO6gc/+IF2YXOWkd+CQBEQyDWhUX6Zj7Mz3IQ255wit5cdrMkn34JAXhHINaH9QI9CaL+yclwQyDMCQug89560XRBwIVBIQqPh9gpf4xS5XTjIX0GgEAgUktB+PSOE9kNGjhcFASF0UXpS7kMQkAAH8gwIAsVCQEboYvWn3E2NIyCErvEHQG6/WAgIoYvVn3I3NY6AELrGHwC5/WIhIIQuVn/K3dQ4AkLoGn8A5PaLhYAQulj9KXdT4wgIoWv8AZDbLxYCQuhi9afcTY0jIISu8QdAbr9YCNQcodnJT5IgUFQEaorQRe1EuS9BwCAghDZIyLcgUAAEhNAF6ES5BUHAICCENkjItyBQAASE0AXoRLkFQcAgIIQ2SMi3IFAABP4P46lOO62zS/wAAAAASU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[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br][br][size=150]Using the pyramids you built, compare pyramids P1 and P3.[/size][br][br][size=100]Think of the faces marked P1 and P3 as the bases of the pyramids. These triangles are the two bases of the original prism. [br]How do the areas of these two bases compare?[/size]
[size=100]How do the heights of pyramids P1 and P3 compare? Explain your reasoning.[/size][br]
[size=100]How do the volumes of pyramids P1 and P3 compare? Explain your reasoning.[/size][br]
[size=150]Using the pyramids you built, compare pyramids P2 and P3.[/size][br][br][size=100]Think of the gray shaded triangles as the bases of the pyramids. These are formed by slicing one of the prism’s rectangular faces down its diagonal. [br]How do the areas of these two bases compare?[/size][br]
[size=100]The heights of pyramids P2 and P3 are equal because when assembled into the prism, the height lines coincide along the length of the prism. How, then, do the volumes of these pyramids compare? Explain your reasoning.[br][/size]
[size=150]Based on your answers, how does the volume of each pyramid compare to the volume of the prism?[/size][br]
[size=150]How could you use this information to find the volume of one of the pyramids?[/size][br]
[size=150]Each solid in the image has height 6 units. The area of each solid’s base is 10 square units. A cross section has been created in each by dilating the base using the apex as a center with scale factor [math]k=0.5[/math].[/size][br][br][img]data:image/png;base64,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[/img][br][br]Calculate the area of each of the 3 cross sections.
[size=150][size=100]Suppose a new cross section was created in each solid, all at the same height, using some scale factor [math]k[/math]. [/size][/size]How would the areas of these 3 cross sections compare? Explain your reasoning.[br]
What does this information about cross sections tell you about the volumes of the 3 solids?[br]
Calculate the volume of each of the solids.
An octahedron is a solid whose faces consist of 8 equilateral triangles.
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[/img][br]Find the volume of an octahedron with edge length [math]\ell[/math].
IM Geo.5.13 Practice: Building a Volume Formula for a Pyramid
Find the volume of a pyramid whose base is a square with side lengths of 6 units and height of 8 units.
A cylinder has radius 9 inches and height 15 inches. A cone has the same radius and height.
[size=100]Find the volume of the cylinder.[/size][br]
[size=100]Find the volume of the cone.[/size][br]
[size=100]What fraction of the cylinder’s volume is the cone’s volume?[/size][br]
[size=150]Each solid in the image has height 4 units. T[/size][size=150]he area of each solid’s base is 8 square units. A cross section has been created in each by dilating the base using the apex as a center with scale factor [math]k=0.25[/math].[/size][br][br][img]data:image/png;base64,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[/img][br][br][size=100]Calculate the area of each of the 2 cross sections.[/size]
[size=100]Suppose a new cross section was created in each solid, both at the same height, using some scale factor [math]k[/math]. How would the areas of these 2 cross sections compare? Explain your reasoning.[/size][br]
Select the most specific and accurate name for the solid in the image.
[img]data:image/png;base64,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[/img]
[size=100][size=150]A solid can be constructed with 4 triangles and 1 rectangle. What is the name for this solid?[/size][/size]
Find the volume of the solid produced by rotating this two-dimensional shape using the axis shown.
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[/img]
This zigzag crystal vase has a height of 20 centimeters.
[table][tr][td][img]data:image/png;base64,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[/img][/td][td][size=150]The cross sections parallel to the base are always rectangles [br]that are 12 centimeters wide by 6 centimeters long.[/size][/td][/tr][/table][br][br][size=100]If we assume the crystal itself has no thickness, what would be the volume of the vase?[/size][br]
The crystal is actually 1 centimeter thick on each of the sides and on the bottom. Approximately how much space is contained within the vase? Explain or show your reasoning.[br]
[size=100][size=150]A trapezoid has an area of 10 square units. What scale factor would be required to dilate the trapezoid to have an area of 90 square units?[/size][/size]