Question

Find the volume of the prism below. Thanks!!

Answer 1

For this case we have that by definition, the volume of a prism is given by:

`V = A_ {b} * h`

Where:

`A_ {b}:` It is the area of the base

h: It's the height

The base of the prism is a triangle, then:

`A_ {b} = \frac {6 * 8} {2} = 24 \ units ^ 2`

Thus, the volume is:

`V = 24 * 7\\V = 168 \ units ^ 3`

Now, the prism volume is
`168 \ units ^ 3`

Answer:

Option D

Answer 2

The correct answer option is D. 168 units³.

Explanation:

We are given a prism with known side lengths and we are to find its volume.

We know that the volume of a prism is given by:

Volume of prism = area of base × height

Here the base is a triangle so the base area will be:

Base area = 1/2 × base × height = 1/2 × 6 × 8 = 24 units²

Volume of prism = 24 × 7 = 168 units³