Question

the pentagonal prism below has a height of 8 units and a volume of 284.8 units³. find the area of one of its bases.

Explanation:

Step1: Recall volume formula

The volume formula for a prism is $V = Bh$, where $V$ is volume, $B$ is the area of the base, and $h$ is the height.

Step2: Rearrange formula to solve for $B$

We can rewrite the formula as $B=\frac{V}{h}$.

Step3: Substitute given values

Given $V = 284.8$ units³ and $h = 8$ units, we substitute into the formula: $B=\frac{284.8}{8}$.

Step4: Calculate the result

$B = 35.6$ units².

Answer:

$35.6$ units²