Question

The triangular prism below has a height of 13 units and a volume of 585 unitscubed
3
. Find the area of one of its bases.
Answer
Attempt 1 out of 2

Answer 1

To find the area of one base of a triangular prism, we can use the formula for the volume of a prism:

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

We know the volume of the prism is 585 cubic units, and the height is 13 units. We can rearrange the formula to solve for the base area:

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

Substituting in the given values:

\[
\text{Base Area} = \frac{585 \text{ cubic units}}{13 \text{ units}}
\]

Calculating this:

\[
\text{Base Area} = 45 \text{ square units}
\]

Thus, the area of one of its bases is **45 square units**.