Question

help!?!?!

The volume of a cube is 36 cubic feet. What is the volume of a pyramid that fits exactly inside the cube? Provide an explanation and proof for your answer to receive full credit.

Answer 1

@luka1998 Have you seen the formulas for volume of a cube and a pyramid... to see the relation between the two shapes?

Answer 2

volume of pyramid = 1/3 (B)(h)
volume of cube = s^3

Answer 3

well the volume of a pyramid with the same base area as the cube will be 1/3 of the volume of the cube.

so taking the known volume, 36, divide it by 3 for the volume of the pyramid

Answer 4

the pyramid will have the same base area and same height as the cube... thats why you can just divide the known volume of the cube by 3

Answer 5

so the answer in word
the volume of the pyramid with the same base area as the cube will be 1/3 of the volume of the cube, the volume of pyramid = the volume of the cube / 3
which is 36/3 = 12

Answer 6

correct value but remember you need units to explain the number

Answer 7

what units ??

Answer 8

Units of volume!

Answer 9

cubic feet...

Answer 10

so the answer will be 12 cubic feet ??

Answer 11

correct.... so if you go back and re-read you'll get the explanation.

Answer 12

@Isaiah.Feynman @campbell_st thx