The pentagonal prism below has a height of 13.4 units and a volume of 321.6 unitscubed 3 . Find the area of one of its bases.

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

$\text{Volume} = \text{Base Area} \times \text{Height}$

Given:

• Volume = 321.6 units³
• Height = 13.4 units

We need to find the Base Area. Rearrange the formula to solve for the Base Area:

$\text{Base Area} = \frac{\text{Volume}}{\text{Height}}$

Substitute the given values into the formula:

$\text{Base Area} = \frac{321.6 \, \text{units}^3}{13.4 \, \text{units}}$

Now, perform the division:

$\text{Base Area} = 24 \, \text{units}^2$

Therefore, the area of one of the bases of the pentagonal prism is 24 square units.