The volume of the given solid is 6322.75 cubic units.
What is the volume of the given figure?
It is given that,
The area of the regular pentagonal base, a = 35 units
Altitude of the given pyramid, h = 9 units
The formula for the volume of a pyramid with regular pentagonal base is given by,
V = (5/12) × tan(54°)ha²
Substituting the given values of a and h, we get the volume as,
V = (5/12) × tan(54°) × 9 × (35)²
V = (5/12) × (1.376) × 9 × 1225
V = (5/4) × (1.376) × 3 × 1225
V = (5/4) × 5056.8
V ≈ 6322.75 units³
Thus, the volume of the given figure comes out to be approximately equal to 6322.75 cubic units.
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