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

Answer:

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

Step-by-step 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

$B=\frac{1}{2} bh$

we have

$b=3\ cm\\h=4\ cm$

substitute

$B=\frac{1}{2}(3)(4)=6\ cm^2$

step 2

Find the volume

we have

$B=6\ cm^2$

$L=12\ cm$

substitute in the formula of volume

$V=6(12)$

$V=72\ cm^3$

Answer 2

Answer:

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