Lisa wants to cover rectangular prism-shaped storage boxes with wallpaper. The dimensions of each box are 7 ft, 6 ft, and 5 ft. She has a total of 1498 $ft^2$ of wallpaper. We need to find out how many boxes she can cover.

1. Problem Description

Lisa wants to cover rectangular prism-shaped storage boxes with wallpaper. The dimensions of each box are 7 ft, 6 ft, and 5 ft. She has a total of 1498 $ft^2$ of wallpaper. We need to find out how many boxes she can cover.

2. Solution Steps

First, we need to calculate the surface area of one rectangular prism box. The formula for the surface area of a rectangular prism is:

$SA = 2(lw + lh + wh)$, where $l$ is the length, $w$ is the width, and $h$ is the height.

In this case, $l = 7$ ft, $w = 6$ ft, and $h = 5$ ft. Plugging these values into the formula, we get:

$SA = 2(7 \times 6 + 7 \times 5 + 6 \times 5)$

$SA = 2(42 + 35 + 30)$

$SA = 2(107)$

$SA = 214$ $ft^2$.

So, the surface area of one box is 214 $ft^2$.

Next, we need to find out how many boxes can be covered with 1498 $ft^2$ of wallpaper. To do this, we divide the total area of wallpaper by the surface area of one box:

Number of boxes = $\frac{1498}{214}$

Number of boxes = 7

3. Final Answer

7 boxes