Question

Consider the cube below. The top most point of the pyramid ( also called the apex ) is at the center of the cube. What is the volume of the square pyramid inside the cube? Round your answer to the nearest tenth.

Answer 1

The volume of the square pyramid inside the cube is
`85.3\ cm^(3)`

Explanation:

we know that

The volume of the square pyramid is equal to

`V=(1)/(3)Bh`

where

B is the area of the square base of the pyramid

h is the height of the pyramid

Find the area of the square base B of the pyramid

`B=8^(2)=64\ cm^(2)`

we have

`h=H/2=8/2=4\ cm`

substitute the values

`V=(1)/(3)(64)(4)=85.3\ cm^(3)`