Answer:
The base area of the pentagonal pyramid is 61.939 square meters.
Explanation:
Given that: the volume of the pyramid = 165.17 cubic meters, its height = 8 meters.
The volume of a pyramid can be determined by:
volume of the pyramid = [tex]\frac{1}{3}[/tex] × base area × height
So that;
volume of the pyramid = [tex]\frac{1}{3}[/tex] × base area × height
165.17 = [tex]\frac{1}{3}[/tex] × base area × 8
165.17 × 3 = 8 × base area
495.51 = 8 × base area
∴ base area = 61.939 square meters
The base area of the pentagonal pyramid is 61.939 square meters.
