Question

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

Answer 1

Answer: $V=270\ cm^3$

Step-by-step 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:

$B=\frac{bH}{2}$

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:

$B=\frac{(9\ cm)(6\ cm)}{2}\\\\B=27\ cm^2$

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:

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