Question

Find the volume of this triangular prism. Be sure to include the correct unit in your answer.

Answer 1

Answer:
`V=270\ cm^3`

Explanation:

The volume of a triangular prism can be calculated with the following formula:

`V=Bh`

Where "B" is the area of the base and "h" is the height of the prism.

Since the base of the triangular prism is a triangle, you can find its area with this formula:

`B=(bH)/(2)`

Where "b" is the base of the triangle and "H" is the height.

You can identify that:

`b=9\ cm\\\\H=6\ cm`

Then, "B" is:

`B=((9\ cm)(6\ cm))/(2)\\\\B=27\ cm^2`

You can observe in the figure that the height of the triangular prism is:

`h=10\ cm`

Therefore, substituting values into the first formula shown above, you get that its volume is:

`V=(27\ cm^2)(10\ cm)\\\\V=270\ cm^3`