Multiple choice

If the area of the base of a rectangular solid is doubled and its height tripled, then what is the ratio of the new volume to the old volume of the solid?

  1. 2 : 3

  2. 3 : 2

  3. 1 : 6

  4. 6 : 1

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Volume V = Area of base * height. New Volume V' = (2 * Area) * (3 * height) = 6 * (Area * height) = 6V. The ratio of new to old is 6:1.

AI explanation

The original volume of a rectangular solid is the product of its base area and its height. The new volume becomes 2 times the original base area multiplied by 3 times the original height, yielding 6 times the original volume. Therefore, the ratio of the new volume to the old volume is 6 to 1.

Keep practicing — related questions