Solve the problem.
-Find the height of a moving box if its length is 31 in., its width is 29 in., and its surface area is 3358 in2. Assume that the surface area includes the top of the moving box.
A) 13 in.
B) 29 in.
C) 11,687 in.
D) 31 in.

Question

Quizplus · Accepted Answer

The surface area (SA) of a box is given by the formula SA = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Given l = 31 in., w = 29 in., and SA = 3358 in², we can set up the equation 2(31)(29) + 2(31)h + 2(29)h = 3358. Simplifying, we get 1798 + 62h + 58h = 3358, leading to 120h = 1560, and thus h = 13 in.

Solve the Problem. -Find the Height of a Moving Box If Its Length