A right pentagonal prism has each side of its regular pentagonal base measuring 6.2 cm, and the prism’s height is 10.5 cm. If the area of the pentagonal base is approximately 66.43 cm², find the total surface area of the prism.
Show answer & explanation
Correct answer: B
Explanation
Given:
Side of the pentagon = 6.2 cm
Height of the prism = 10.5 cm
Area of the base = 66.43 cm²
According to the formula:
Total Surface Area = Lateral Surface Area + 2 × Area of the Base
Lateral Surface Area = Perimeter of the Base × Height
Perimeter of the pentagon = 5 × 6.2 = 31
Lateral Surface Area = 31 × 10.5 = 325.5
Total Surface Area = 325.5 + 2 × 66.43 = 458.36 cm²