Question

Find the volume of the prism below. Thanks!!

Answer 1

Answer:

The correct answer option is D. 168 units³.

Step-by-step 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

Answer 2

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