Write the word or phrase that best completes each statement or answers the question.
-An open box is to be constructed from a square sheet of plastic by removing a square of side 2 inches fromeach corner, and then turning up the sides. If the box must have a volume of 242 cubic inches, find thelength of one side of the open box.
A)11 in.
B)13 in.
C)15 in.
D)10 in.

Question

Quizplus · Accepted Answer

The volume of a box is given by the formula V = lwh. Since the box is open, the height is equal to the side length of the square that was removed. Therefore, the volume can be written as V = l^3 - 8l^2. Setting this equal to 242 and solving for l gives l = 11 inches.

Write the Word or Phrase That Best Completes Each Statement