@aum 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.

Question

campbell_st · Answer

Volume of a Pyramid is 

V = 1/3 length x width x height

Volume of a cube is 

V = length x width x height

hopefully you can see the connection

gabylovesyou · Answer

so its 12 cubic feet ? @campbell_st

anonymous · Answer

volume of pyramid = 1/3 of cube
                             =(1/3)36
                              =12 cubic feet

aum · Answer

Yes!

gabylovesyou · Answer

Thanks everyone! :D

campbell_st · Answer

that's correct... well done

gabylovesyou · Answer

why 1/3 tho ? dont 6 pyramids fit in a cube ?

campbell_st · Answer

basically 3 pyramids fit in a cube with the same dimensions... in a similar way 3 cones fit in a cylinder with the same radius and height

gabylovesyou · Answer

oh ok thanks