A right hexagonal prism has a base edge of 5.5 cm and a height of 12 cm. The lateral faces are all painted. If the cost of painting is ₹22.5 per cm², find the total painting cost. Use √3 = 1.732 where needed.
Show answer & explanation
Correct answer: D
Explanation
Given:
Base edge = 5.5 cm
Height = 12 cm
Painting cost = ₹22.5 per square cm
Formula:
Lateral surface area of a right-angled hexagonal prism = Perimeter of base × Height
Perimeter of a regular hexagon = 6a
Perimeter = 6 × 5.5 = 33 cm
Lateral surface area = 33 × 12 = 396 square cm
Total painting cost = 396 × 22.5 = ₹8,910