Solve the problem.
-The height of a box is 10 inches. Its length is 4 inches more than its width. Find the length if the volume is 450.
A) 9 in.
B) 5 in.
C) 10 in.
D) 45 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 + 4 inches. Given the height is 10 inches and the volume is 450 cubic inches, we can set up the equation: 10x(x + 4) = 450. Simplifying gives x^2 + 4x - 45 = 0. Factoring this quadratic equation, we find (x + 9)(x - 5) = 0, so x = 5 inches. Therefore, the length is x + 4 = 9 inches.

Solve the Problem. -The Height of a Box Is 10 Inches. Its Length