Find the volume of the prism below.

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

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

Where:

It is the area of the base

h: It's the height

The base of the prism is a triangle, then:

Thus, the volume is:

Now, the prism volume is

Option D

the image of (6, 9) under a dilation is (4, 6). the scale factor is

- 70

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