The volume of the pentagonal right pyramid will be 172.18 cubic meters.
What is the area of the pentagonal right pyramid?
Let h be the height of the pentagonal right pyramid and l be the base length of the pentagonal right pyramid. Then the volume is given as
Volume = 1.72 / 3 x l² x h
Then the pentagonal right pyramid is shown.
Then the base length is given as
8² = (l/2)² + 7²
64 = (l/2)² + 49
(l/2)² = 64 - 49
(l/2)² = 15
(l/2) = 3.8729
l = 7.75
Then the volume of the pentagonal right pyramid will be
Volume = 1.72 / 3 x 7.75² x 5
Volume = 172.18 cubuc meters
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