Question

A triangular pyramid with a volume of 270 cubic centimeters, a base edge of 15 centimeters, and the height of the base as 4 centimeters has a height of____ centimeters.

Answer 1

The height of the triangular pyramid is
`27\ cm`

Explanation:

we know that

The volume of a triangular pyramid is equal to

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

where

B is the area of the triangular base

H is the height of the pyramid

Find the area of the base B

`B=(1)/(2)(15)(4)=30\ cm^(2)`

we have

`V=270\ cm^(3)`

substitute and solve for H

`270=(1)/(3)(30)H`

`270=10H`

`H=270/10=27\ cm`