Answer:
1. B = 61.5 ft²
2. h = 12 ft
3. V = 738 ft³
Step-by-step explanation:
Firsly ,we notice that the base of the prism is a regular pentagon
regular means the five sides of the pentagon are equal in measure .
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Formula :
Area of a regular pentagon B = 1/2 × p × a;
where p is the perimeter of the pentagon
a is the apothem of the pentagon
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then p = 5×6 = 30 ft
a = 4.1 ft. (Given)
therefore ,
B = 1/2 × p × a
= (1÷2) × 30 × 4.1 = 61.5 ft²
height of the prism h = 12 ft (given)
Volume V = B × h = 61.5 × 12 = 738.ft³
