Solve the problem.
-The height of a box is 10 inches. The length is three inches more than the width. Find the width if the volume is 400 cubic inches.
A) 8 in.
B) $40 \mathrm{in.}$
C) 10 in.
D) 5 in.

Question

Quizplus · Accepted Answer

The volume of a box is given by the formula V = length × width × height. Let the width be w inches. Then the length is (w + 3) inches. The volume is 400 cubic inches, so:  400 = (w + 3) × w × 10  40 = (w + 3) × w  w^2 + 3w - 40 = 0  (w + 8)(w - 5) = 0  w = -8 or w = 5  Since width cannot be negative, the width is 5 inches.

Solve the Problem 40in.40 \mathrm{in.}40in. C) 10 In D) 5 In Height

Solve the Problem $40 \mathrm{in.}$ C) 10 In
D) 5 In Height