The base of a right prism is a regular hexagon with a side length of 6 centimeters. The height of the prism is 1/√3 centimeters. Find the volume of the prism.
Show answer & explanation
Correct answer: A
Explanation
Side of the hexagon = 6 cm
Height = 1/√3 cm
According to the formula:
Volume = Base Area × Height
Area of a regular hexagon = (3√3/2) × a²
Base Area = (3√3/2) × 6² = 54√3
Volume = 54√3 × (1/√3) = 54 cm³