what is the volume of the prism below

Because this is a prism, you will be using the equation V=BH.

Because there are 2 identical triangles, those are your bases.
[tex]B=\frac{6*7}{2}\\B=\frac{42}{2}\\B=21[/tex]

Now that we know that the area of the base is 21, we can now multiply that value (B) by the height of the whole prism.

[tex]V=BH\\V=(21)(8)\\V=168units^3[/tex]
Meaning that your answer is B.

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athleticregina athleticregina · Answer 2 · 2019-03-29T17:16:26+01:00

Answer:

The volume of prism is 168 units³

Step-by-step explanation:

Given : A triangular prism.

We have to find the volume of the given triangular prism.

Consider the given triangular prism.

Volume of prism is area of base times height of prism.

Thus, Volume of prism = [tex]Area\ of\ base \times height[/tex]

Base of prism is triangle

So area of base triangle = [tex]\frac{1}{2} \cdot b \cdot h[/tex]

Given : b = 7 units and h = 6 units

area of base triangle = [tex]\frac{1}{2} \cdot 7 \cdot 6=21[/tex]

Height of prism = 8 units

Thus, Volume of prism = [tex]21 \times 8=168[/tex]

Thus, The volume of prism is 168 units³