Height of the prism with a pentagonal base (h): 8 cm
Area of the pentagonal base (A): 30.5 cm²
Step 2: Calculate the volume of the prism with a pentagonal base
We have a regular pentagonal prism, that is, the 5 sides of the base are equal and we know the area of the base and the height of the prism. We can calculate its volume using the following expression.
Perimeter = 2L + 2W → 240 = 2L + 2W → 120 = L + W → 120-L = W Area = L x W → Area = L(120-L) → Area = 120L - L² Find the derivative: dA/dL = 120 -2L → 0 = 120 - 2L → L = 60
