Solve the problem.
-The height of a box is 6 inches. The length is three inches more than the width. Find the width if the volume is 240 cu inches.
A) 40 inches
B) 6 inches
C) 5 inches
D) 8 inches

Question

Quizplus · Accepted Answer

The volume of a box is given by the formula length × width × height. Let the width be x inches. Then, the length is x + 3 inches. Given the height is 6 inches and the volume is 240 cubic inches, we can set up the equation: x(x + 3)6 = 240. Simplifying gives x^2 + 3x - 40 = 0. Factoring this quadratic equation gives (x + 8)(x - 5) = 0, so x = 5 inches or x = -8 inches. Since a width cannot be negative, the width must be 5 inches.

Solve the Problem. -The Height of a Box Is 6 Inches. the Length