Question

The top most point of a pyramid is at the center of a cube The height of a cube is 10 inches what is the volume of the square pyramid inside the cube?

Answer 1

166.67 in³

Explanation:

If the top of the pyramid is at half of the height of 10 cm tall cube, the height of the pyramid (h) is 5 inches.

Assuming that the base of the pyramid is the same as the base of the cube, the volume of the square pyramid is given by:

`V=(1)/(3)*B*h`

Where B is the area of the square base:

`V=(1)/(3)*(10*10)*5\\ V=166.67\ in^3`

The volume of the square pyramid inside the cube is 166.67 in³.