Question

What is the volume of the triangular prism?
b8, h7, B10

280 ft3


340 ft3


560 ft3

Answer 1

To calculate the volume of a triangular prism, we can use the formula:

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

Where:

- The base area of the triangle can be found using the formula:
\[
\text{Base Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]

In your case, you provided:
- \( b = 8 \) (base of the triangle)
- \( h = 7 \) (height of the triangle)
- \( B = 10 \) (height of the prism)

Now, let's first calculate the base area of the triangle:

\[
\text{Base Area} = \frac{1}{2} \times 8 \times 7 = \frac{1}{2} \times 56 = 28 \text{ ft}^2
\]

Now, we can calculate the volume of the prism using the base area and the height of the prism:

\[
\text{Volume} = \text{Base Area} \times \text{Height of the prism} = 28 \text{ ft}^2 \times 10 \text{ ft} = 280 \text{ ft}^3
\]

So, the volume of the triangular prism is:

\[
\boxed{280 \text{ ft}^3}
\]