Question

Find the volume of the triangular prism above.
the h is 7in
the w is 13 in
and the l is 18 in
(1 point)
Responses

3,276 cubic inches
3,276 cubic inches

591.5 cubic inches
591.5 cubic inches

1,638 cubic inches
1,638 cubic inches

819 cubic inches

Answer 1

To find the volume of a triangular prism, you can use the formula:

\[
\text{Volume} = \text{Base Area} \times \text{Length}
\]

The base of the triangular prism is a triangle. The area of a triangle is given by:

\[
\text{Base Area} = \frac{1}{2} \times \text{Base} \times \text{Height}
\]

In your case:
- The base of the triangle (w) is 13 inches.
- The height of the triangle (h) is 7 inches.
- The length of the prism (l) is 18 inches.

First, calculate the area of the triangular base:

\[
\text{Base Area} = \frac{1}{2} \times 13 \, \text{in} \times 7 \, \text{in}
\]

\[
\text{Base Area} = \frac{1}{2} \times 13 \times 7 = \frac{91}{2} = 45.5 \, \text{square inches}
\]

Now, use this area to find the volume of the prism:

\[
\text{Volume} = \text{Base Area} \times \text{Length} = 45.5 \, \text{in}^2 \times 18 \, \text{in}
\]

\[
\text{Volume} = 819 \, \text{cubic inches}
\]

So the correct answer is:

**819 cubic inches**