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.

Question

asked Nov 19, 2020 157k views

1 Answer

Pinkeen · Answer 1 · 2020-11-23T21:15:28+0000

Answer:

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

$H=270/10=27\ cm$