Question

Look at the triangular prism below. Each triangular face or the

prism has a base of 3 centimeters (em) and a height of 4 cm.
The length of the prism is 12 cm.
What is the volume, in cm, of this triangular prism?
om

Answer 1

The volume of the triangular prism is
`V=72\ cm^3`

Explanation:

we know that

The volume of the triangular prism is equal to

`V=BL`

where

B is the area of the triangular face

L is the length of the prism

step 1

Find the area of the triangular face

The area of a triangle is equal to

`B=(1)/(2) bh`

we have

`b=3\ cm\\h=4\ cm`

substitute

`B=(1)/(2)(3)(4)=6\ cm^2`

step 2

Find the volume

we have

`B=6\ cm^2`

`L=12\ cm`

substitute in the formula of volume

`V=6(12)`

`V=72\ cm^3`