Question

The paperweight is shaped like a square pyramid. The volume of the pyramid is 48 in. If the area of the base is 36 in?, what is the height of the pyramid?​

Answer 1

Given:

Volume of a square base pyramid = 48 cubic inches.

Area of base = 36 sq. inches.

To find:

The height of the pyramid.

Solution:

Volume of a pyramid is

$V=\dfrac{1}{3}Bh$

Where, B is the base area and h is the height of the pyramid.

Putting V=48 and B=36, we get

$48=\dfrac{1}{3}(36)h$

$48=12h$

$\dfrac{48}{12}=h$

$4=h$

Therefore, the height of the pyramid is 4 inches.