Question

The volume of a cube is 42 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

@eliassaab

Answer 2

The volume of cube
\[
V= a^3
\]

Answer 3

The volume of pyramid inside is
\[
V_p=\frac 1 3 a^2 h=\frac 1 3 a^2 a=\frac 1 3 a^3=\frac 13( 42)=14
\]

Answer 4

is that the answer @eliassaab

Answer 5

Yes

Answer 6

Thank you!!

Answer 7

YW