Estimate the volume of a right prism whose base is a regular hexagon with sides of 10 cm each and a vertical height of 8 cm.
Show answer & explanation
Correct answer: A
Explanation
Side of the hexagon = 10 cm
Height = 8 cm
According to the formula:
Volume = Base Area × Height
Area of a regular hexagon = (3√3/2) × a²
Base Area = (3√3/2) × 10²
= (3√3/2) × 100
= 150√3
Volume = 150√3 × 8 = 2078 cm³