Question

HELPPP

Carmen is going to build some large wooden storage boxes. The boxes are shaped like rectangular prisms, as shown below. She wants to cover all the sides of
each box with special wallpaper. If she has a total of 1498 ft? of wallpaper, how many boxes can she cover?

Answer 1

7 boxes

Explanation:

The area of a rectangular prism is given by the formula ...

A = 2(LW +H(L+W))

The amount of wallpaper Carmen needs for one box is found by computing the area of the box.

__

One box

A = 2(5·6 +7(5+6)) = 2(30 +7·11) = 2(107) = 214 . . . square feet

All boxes

Carmen will be using a total of 214x square feet of wallpaper to cover x boxes. She has 1498 ft² available, so can cover ...

1498 ft²/(214 ft²/box) = 7 boxes

Carmen has enough wallpaper to cover 7 storage boxes.