Multiple choice

The volume of a rectangular box is to be increased by 40% without changing its base. Find percentage increase in its height.

  1. 50%

  2. 40%

  3. 30%

  4. 20%

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Volume V = Base * Height. If base is constant, V_new = 1.4 * V_old. Thus, Height_new = 1.4 * Height_old, which is a 40% increase.

AI explanation

The volume of a rectangular box is the product of its base area and height. To increase the volume by 40 percent without changing the base area, the height must be multiplied by 1.4. Therefore, the required percentage increase in its height is 40 percent.