Question

A triangular pyramid is shown on the figure below. The height of the pyramid is 15 inches. The volume is cubic inches

Answer 1

Given:

Base of the pyramid = 16 inches

Height of the base (h) = 20 inches

Height of the pyramid (H) = 15 inches

To find:

The volume of the triangular pyramid.

Solution:

Area of the base (B) =
`(1)/(2)bh`

`$=(1)/(2)* 16 * 20`

Area of the base (B) = 160 in²

Volume of triangular pyramid:

`$V=(1)/(3) BH`

where B is base area and h is the height of the pyramid.

`$V=(1)/(3) * 160* 15`

`$V=800` in³

The volume of the triangular pyramid is 800 cubic inches.