Question

What is the volume of the following triangular prism?

Answer 1

Answer:

288 ft³

Step-by-step explanation:

The formula of a volume of a prism:

$V=BH$

where

B - area of a base

H - height of a prism

In the base we have the right treiangle. The formula of an area of a right triangle is:

$A=\dfrac{ab}{2}$

where

a, b - are legs

We have

$a=6\ ft,\ b=8\ ft$

Substitute:

$B=\dfrac{(6)(8)}{2}=\dfrac{48}{2}=24\ ft^2$

Calculate the volume.

Substitute

$B=24\ ft^2,\ H=12\ ft$

$V=(24)(12)=288\ ft^3$