Two right prisms have the same height of 10 cm. One has a regular hexagonal base with side 6 cm, and the other has a square base with side 6 cm. What is the ratio of their volumes?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. : 2.
Area of hexagon base = (3√3)/2 × Side2 = (3√3)/2 × 62 = 54√3 cm2
Area of square base = 62 = 36 cm2
Volume ratio = Base area ratio (since height same) = 54√3 : 36 = 3√3 : 2