Question

What is the volume of the following triangular prism?

480 ft 3
576 ft 3
96 ft 3
288 ft 3

Answer 1

I did the assignment and got it right with the answer of 288 Hope it helps you and if it does make sure to give me a like and a five-star rating.

Answer 2

288 ft³

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=(ab)/(2)`

where

a, b - are legs

We have

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

Substitute:

`B=((6)(8))/(2)=(48)/(2)=24\ ft^2`

Calculate the volume.

Substitute

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

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