Question

the pentagonal prism below has a height of 15 units and a volume of 400.5 units³. find the area of one of its bases.

Explanation:

Step1: Recall the volume formula for a prism

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

Step2: Solve for \(B\)

Given \(V = 400.5\) and \(h=15\), we substitute into the formula \(B=\frac{V}{h}\). So \(B = \frac{400.5}{15}\).
Calculating \(\frac{400.5}{15}=26.7\)

Answer:

\(26.7\) units\(^{2}\)