Solve the problem.
-The height of a box is 7 inches. The length is three inches more than the width. Find the width if the volume is 280.
A) 40 in.
B) 5 in.
C) 8 in.
D) 7 in.

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 7 inches and the volume is 280 cubic inches, we can set up the equation: $x(x + 3) \times 7 = 280$. Simplifying, we get $x^2 + 3x - 40 = 0$, which factors to $(x + 8)(x - 5) = 0$. Thus, $x = 5$ inches, since the width cannot be negative.

Solve the Problem. -The Height of a Box Is 7 Inches. the Length