IM Geo.5.14 Lesson: Working with Pyramids

Here is a pyramid.
[img]data:image/png;base64,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[/img][br][br]Which, if either, of these solids has the same volume as the pyramid?
Calculate the volume of each solid. Round your answers to the nearest tenth if necessary.
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[/img][br]
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Ttx4kTBpuqACDCxpQ7gAixMmSxsZFXqyJEj5aqO8ePHiylTpohnnnlGLuS09h43KScfljmQkm+iLSENCVggpSHlFlCGBVIL6OQ0mmiBlIaUW0AZFkgtoJPTaKIFUhpSbgFl/A9kXhYXH5JdOAAAAABJRU5ErkJggg==[/img]
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[/img]
height 12 cm; area of base 32 cm²[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ8AAABoCAYAAADvjCJBAAATOklEQVR4Ae2dZbPdNhOA+xv6rf8hX5uZzqTTNimmDClDiimlnKZMKTMzMzOkTZmZmZkpZd53HuXdO7q+kizjsc/RztwrW5Zkeb1HWvZikiBhYEAYWGxA9023TRiQRHyJCAaGgUR8JVG/wgoryL777luyd+oGBhLxlaCDww8/XBZffHFZYokl5MEHHywxQuqSiK8EDcyfP1+WXHJJmTZtmkyaNEmWXnppeffdd0uMlLqkla8ADTz33HMyefJkmTp1qsyePVsOO+wwWXnllWXGjBmycOHCAiOlpmAgEV8kHXzyySey3nrryUEHHSQ777yzPPzww/L222/LlClT5Pjjj5d99tkncqTUTDGQiE8xESj/+OMP2WGHHWTXXXeVmTNnykMPPTTW+swzz5Q5c+bIrFmz5IQTThirTwf5GEjEl48jOfjggwUiu++++wzx0eWtt96Sb7/9Vj766COZPn26/PPPP4Y4L7vssogRUxMwkIgvhw5OP/10OfTQQ+WYY46RPffcU6699lrTgzpdAQ855BCZN2+enHfeebLZZpsJQkmCfAwk4gvgCELbaaed5K+//pLXXntNVlllFfn1119ND/i8J554whw//fTTZlvmBKEEIeT5558PjJwugYFEfB46eOCBB2T99dc3xHTAAQeYbZdV0AfwhFdffbUcd9xxZkVEOEFISeDHQCI+B25Y5VZccUV54YUXzNVvvvnGSLoffPCBo/Wiqttvv93whpz9+OOPcv3118uOO+4of/75p7fPqF9IxJehgK+//lo23XRTueeee+TJJ5+Us846S+644w6jYrGbnnLKKfLUU0/ZVbLuuuvKyy+/LPvtt598/vnnZrVEWEngxkAivgxedt99d7n88svlt99+M1d++OEHs4JlCc0WOHSICy+8UM444wxz+t1335mSdlqn7VK5CAOJ+CxKOPLII+Wkk04yNax2t956qzzzzDOy/fbbW60WHbI1s0ra8OWXX8qqq65qCBeCQ+j4+++/jdCiUrLdftSPE/H9nwLOP//8MS8VLBcAUi4rF0QYC0cddZTh92j/1VdfCQrqzz77zAgvyQlhPBYT8YkY4tpmm23k559/Nti5++67jZT78ccfy9prry3//vvveKyJGDWLS5qF59tyyy1N+5tvvtnwgJwgvCDEsGImWISBkSc+dHVrrLGGvPfeewYjqFj+++8/c4ywwYroAhfPp+3gG7H9Aqx6OjZCDMIM0nOCEdfzQRQQHlKtAiY0eDe2y9VWW02++OILvTSuvOiii+TFF18cV6cn9957r8ydO9ecwjPaqx3CDMSZYISJ76effpKtt956HD8HYcDnATfccIMggJSFTTbZRN58803THfuvroRUINTAG446jOy2iwv8BRdcMO79q62Wyq222kpeeumlcdftExwJdHu26/X4yiuvHPNyQeeHI4IN3N+3pdvthvl4JInvxBNPnLDyYDpT3d4jjzxiPFRCLz7E89EPK8fyyy8v33//vRmGLf6qq64aGxLhJrvyjl0ckYORIz621j322GPC63300UfH6liVEA5CkEd89GV75X4KKnjY5/Cc6qCg9aNSjhTxoULJSpuffvqpnHzyyQIPCKDj22ijjXLfP4KIqmZ8jbNjcY7jgQ0IO7a0bV8b9uORIT70bCuttJK8/vrrE96pLe1mV6sJjQtWZFdRhI8soMRmC9YfQPb6sJ6PBPGxuhHkk7UwYK/FQ1lB+TTsuXmAF4taQkJt2c5xv1dgbAgSIcQGhB/qRwmGnvhQneAQet111417rypc2G5SV1xxhSCMxEAMz6fjsKrZOkF+DC5A/RJ7f1f/vtUNPfHh4u7yKkGPl7XZopvLqkR8L5S+sW1vvPHGCTpDpGsU0FlQr5ps/TCeDzXxsaVCfFl45513TJUqlDmxrRLZ9lXPXdYSrCgA12zA9IZQhHA07DC0xMc26/MkZiUk1sIG2x5r1/uOcafSeA5fG7veZSe+6aabBOeDLCAU2Z7U2evDcj6UxIelghgKF2+VFTp4kbYnSuyLLcLzMabLQ0ZXvaz+j/bMkxgS1zPEzrHr7YaO+Fg1UKm4oscwiZ1zzjnGccB+MbYPnl0fOi5KfIxFnyyfCd+XrdP7snpr9JzWDVM5VMRHEDdxsz5+acGCBRPenXof//777xOuhSrgFyHmIvDss8+azAauPrbjgX0dFsHFt9pt+no8VMSH2SyUMSDrSMBLI+7C1vU1/SJZyWylNvdD54fbvg80Y4Lvel/rh4b4jj766DEvEtfLuOuuu1zVJuLsww8/dF4LVV566aVBrxdfX1cknLa1HQ+0jpLwS4QnwjGHCYaC+FjR8rJEEdCdBTvWNnst77wMz6djIgzZym2t97ELXEfwoJ/t9qX9+lr2nvhuu+0243vns4vy0iAyF5BlgFQXZQCzGRJsGcAL2pX9gFgR8r34ACGKVBxvvPGGr0mv6ntNfPBOq6++em5mUPzzsmDnV8lea/ocHaGd98W+H278IWB1RKhCuOo79Jb43n//fVlzzTXl8ccf974DHAdcSlw6wMT7VkTvgNYFVp8qgUBkvXLF8iJFo5D2xY4wBYQqMmb1HXpJfPjREep4yy23ePGvqhMXb4WAQWqLKlCF5+O+r7766liuv+w8Yvg6ElEiZPUZekl85EIJ8Ua8EIz5PuJEteJSuxR5kfj9ZVUmRfrTltXLZXHhms/xwL4HQhaqor5C74iPl54XVaa+crbjgL4gVkRSWqhhX+sHUcLf7b333s5ba4Z7NcG5GiFkEeiE0NVH6BXx4W+322675eL5tNNOE6wJLkBX1qWwRTxYfNKrz/HAfi6IlPjibCIju01Xj3tDfAT04G+XTc6TRWye+oNUFjgSVIU6tl3mgGKZLKcuUL4V4SoEBCAhfOW1C40xiGu9ID68gPncFEx6CAhThA/ybanYT+vKFlBV4NDnYOvEfUpTqmm9lqiEXM6wel1L+Nttt91WfvnlF63qfNl54iPXyQYbbCDkUMkDl2Rr9yGFBU6jdUBVVYs9BxJNYq4LQUilpP0QwhDG+gKdJj5y2/HBlWuuuSYXn3gnh76DQeoKtu0uAnzbhhtu6J0aP8BTTz01alVDGCMUtA/QaeJja3OZoVyIVdd41zXqCMxBYKkLHnvssdLmNdccWLFCtl36+NyusuMhlNX5rNnx6zrvLPGh5edTUzHAdutyHNC+hCuSuoLQyLqgLp5P5wMx77LLLnrqLOH9QqoX7YRQtvHGG4vLf1HbdKHsJPERWYbRPwbROA74VBWKYFJWIJ3WCZdcckkpl6rQHLDaaAZ8X7sY3pe+pGVDSLNDNn1jDqq+c8TH1oLpK09loggjO6jLcUCvU5L+IibA2+4ziGP0enzLNwRkv4r1oIZQEdZU6R4adxDXOkV8rGB4e2Qjy3yIQbH6yiuv+C6bevSDTWQCwHriSpcbnEzORcYkbwsCRgjYTkOOB3ZfhDWENoS3rkFniA891+abby4+j2MX4ngBeYpVmG87A5VrnDJ1dfN8OgcCnPLs1jGOBzoeJUIb3wbuGnSG+Pbaa69cXZeNPBwH8vgZkjti+2wCmiI+2Ii11lord2vlR+ozIbqeF+ENIa5L0Aniw7fNZ2LyIQtfurxPS6HzQnhpAvjMQVPWBFYpn0eOPos6HuThQNsjvPE9kabwofcpUg6c+HAp1+TZsRMPOQ7oGGzJGNxjJGbt05USnne77bbLnQ7eLD5nWVdnhDiEuVh9oWuMOusGSnx4EmPoL6p/01SzIUSQ77jJbaZIoqDQPH3XEBLyMpaq44HPLuwaG8JGqNNk5a42bdUNjPgwmONXl2eZsBGhjgN5kh5SKB9viVXX2PeIPW6K59P7w9PxqdU8iHU8sMdh7C222MLrzGC3bfJ4IMSHRQKmGq1+UfBFqdnjsCpBHE0Cq3bTukNytbjyuLieK8/VLNsHRwaEvEFC68RHZif4mSK8CghCnxcrlMBYu3LfDRLRZe598cUXC/xtHqAXxDZclH0Bnwh7g4LWiW///feXc889t/Dz8s0LzSYa6ozimej+pgGfwbyE4FXngERPnG6sVF3GkoEbP0LfIKBV4sNvLc985EICPnghxwG7D/qsUN4Tu22V46Z5Pp3bscceG+VSRnva2p/a0jFCJaslQl+VMNLQ+KFrrREfNkkSY4e+2uOaKFsKpiFXMFC2PbwkKSXagLaID2LC8hMLZYQshD6EP4SXNqEV4mPlwriPYrYIsIViHIcxRqlKtNf8+fOFzwmon5/qCCmpw2GUF3DnnXfK/fffb6Rp3ebttswDnoc5wX9igsNNHz4LxS3sAaB9UFjjmkWgNy8JnhKfObZeFW60LSnN4G3xpsHKwnMQuIRKRGNttS28Gj8uQiCxbaODQ2BCotfk4JMnTzZ40D5nn322wQd4zeKDDA6oUWLzRev7QPhDQ5DnDa7t6ygbJz6Qjy9dngOA/TD6C+SFIVGiOnH90UeN+xAB+it4sby22sfVzq6zx7frXcdNtuVHxw+Q++p9QnPgx6de3UUkcn6ECINF0v2aCZX81yjx8evFPZwVKAZYTdhe0dwX/eWSxbNNyY0VMs+2HPPMsW3Yel0fsAn1ZztVDUGsPpVdIka/GLpv7LXGiA+fs9mzZ0cJChjIWblwFSqreZ85c2ah1TUWQb52bfF8en8Eruyns/RaXsmuoyuh2oRDfRAKEQ6bhsaIb968eSboJfQAmHrItgSfk+eNHBoHFyPXx/xCfapeI5rM9Zn7quP6+vPjJNd0lexU/MiVVw4prxEKEQ59ySp9cyxa3wjxwRAfeOCB3rngKo4UCyNedCtxDYquKi+1mKtf3+qIYMN9vypgM1afQZ8/JIIYQmJdoaauOddOfPjZzZo1S9Tobd8UHomHpSyqj7LHsY9ZMUk50TYw/6ImrapzZLXC5FYXsHprDmuXlMt2PW3atFoyPLjmXCvxEUuxzjrrGFWIfTMkXlY4CCUv64DdL+YYhrrp7cE1D5hyXhw8qv7xfAsXLnQ1r62O+xbx9o65MWomzRWYzU+NsIjQmOfMEXOfbJvaiA/pdPr06eNsquREYYvlV1VE1ZKdpO8cvRmpJmKcDXxjlK2H6HHMRIrUP3RlTbjs23Nky8Tdqglg8cCJFTWO/WlWhB3COlXVU9e9ayE+XJ2QNlHsAhAaueuwNdaRlMf3sKw8XYrOh4+NDX7yPVNMPTlZXB+5iekb0wYBEOU1+j61mMBvIkTWCbUQ35w5c4xlgC2VZIesSGy1TQPbQaz+qum5MH5bxIcyuG5CcOEHLQLvk8WF+GiESAKc6oLKxIcxG+07qR74pbSleOV+g0yKg94s62ncFvFhjiMlGgTRBkCAPCvsE8IdQmUdUIn4WPEQMFAoN7kNuB4UHqSMM6prrDJ1LiVzW8THfLFE1LkKxeAAOzusFW5eRf0xXeNXIj7SOyy11FLeD9e5blhHHUIM9x4kIGBlFb7YlX25AeueK4ROgHmMt0+d90ZJPWXKlFryHFYiPh6K7Yd4ALwp2vIJw/xDaolRhzbxQBJ1nA7QLsTa6vPeT2Xi0xtgd8T4DS9Stx5K70E5qF+8PYeuHLMDIPk2CVirCEvAM6nu91ob8SkC8CyBKSVAKC/fnPYpUmIWAiEJFmEA542YrKVF8QVPSaYwLBx18Heu+9dOfHoTMr7j2ImDYl154hBsIOo2Dfr6PF0t0cep42sdc+T7JHyWderUqdHu+2Xv2xjx6YSOOOIIY6AmUr5oghsdQ0u0711MeKPzG1RJGrQYV6nQ/AgiwnKy7LLLFsqZExoz71rjxKcTQCmKUpgYi7Jf7oHhbcOCoHPuS0kMbln/O7xkUFsts8wyrUextUZ8+iLRj+GZwV8RhXSTNk2dW1/LMjZuTJP47C233HKVPwVWFm+tEx8TxUBNkM2MGTNM5swY72VMO3VLW2WR1sV+sd49BD3xLRIECfXpG9TzDIT49GExExFnCz+I46KPb8EHsE4/Nr3/MJW4rPEdXh/gdoa3N3ma27aM+OY0UOLTSZHGDD81JGMk5Kx3LSkjCNhJEMYA5s6sApi0uHzdEhf8JrN2hWfmvtoJ4tOpkQ4DZwHMRugKMWSTKgJbYpUPK+v4w17iAKAfgSaaj+2VcNKYz2cNAjedIj5FAMEyECHOqQRMwxtixsN8Z5dsJZzzh82REo8Lu4324WVQj1SIDyDHrAqutpjuqMekRMkfvJKrLWGe1KOU1bas0q62OhcCxLUteQRDbZFktS3KdY5RObn6gI9JkyaZHy4ZCGKSDCnOB1F2kvgUEbiko8FnO8FZlQh+u0R9wzlSG25dHGNhsdtoH5Te1LMywPtwTBYCV1vcxKgnMAk1BHmd0S+62kIE1JPxngRFmLvgY11tdS4IT8S5YLZCQRxqi2CGEwU6OD5qSFuEC1cf8AHfR6aEPkCnia8PCExzLI+BRHzlcZd6VsRAIr6KCEzdy2MgEV953KWeFTGQiK8iAlP38hhIxFced6lnRQwk4quIwNS9PAYS8ZXHXepZEQOJ+CoiMHUvj4FEfOVxl3pWxEAivooITN3LYyARX3ncpZ4VMfA/NWBwYWFCYnEAAAAASUVORK5CYII=[/img]
A particular cone has radius r and height h.
Write an expression for the volume of this cone in terms of [math]r[/math] and [math]h[/math].[br]
What is the height of a cone whose volume is [math]16\pi[/math] cubic units and whose radius is 3 units?[br]
What is the radius of a cone whose volume is [math]16\pi[/math] cubic units and whose height is 3 units?[br]
The Pyramid of Giza is 455 feet tall. The base is square with a 756-foot side length. How many Olympic-size swimming pool volumes of water can fit inside the Pyramid of Giza? Explain or show your reasoning.
[size=150]A caterer is making an ice sculpture in the shape of a pyramid for a party. The caterer wants to use 12 liters of water, which is about 720 cubic inches. The sculpture must be 15 inches tall. The caterer needs to decide how large to make the base, which can be any shape.[/size][br][br][list][*]Draw and label the dimensions of a base that would work.[/*][*]Find a second base that satisfies the baker’s requirements. You may use the applet to help, if you choose.[/*][/list]
Directions for using the applet:[list][*]Draw your base on the grid with the Polygon tool.[/*][*]Change to the 3D Graphics View by clicking on button.[/*][*]Click in the 3D window to switch back to the 3D menu.[/*][*]Select the Extrude to Pyramid tool and click on your polygon.[/*][*]When the dialog box opens, input the height.[/*][*]Use the Volume tool to verify your calculations and your figure.[/*][*]Refresh the page and repeat the steps with another base that works.[/*][/list]
Schließen

Information: IM Geo.5.14 Lesson: Working with Pyramids