The base of a right prism is a regular hexagon with each side equal to 7.5 cm. If the height of the prism is 18 cm and the area of the hexagonal base is approximately 146.30 cm², calculate the total surface area of the prism.
Show answer & explanation
Correct answer: C
Explanation
Given:
Side of the hexagon = 7.5 cm
Height of the prism = 18 cm
Area of the base = 146.30 cm²
Total Surface Area = Lateral Surface Area + 2 × Area of the Base
Lateral Surface Area = Perimeter of the Base × Height
Perimeter of the hexagon = 6 × 7.5 = 45
Lateral Surface Area = 45 × 18 = 810
Total Surface Area = 810 + 2 × 146.30 = 1102.60 cm²