Question

nicole is going to build a large wooden storage box. the box will be in the shape of a rectangular prism, as shown below. she wants to cover all the sides of the box with special wallpaper that costs $2 per square foot. how much will the wallpaper cost in total?

Explanation:

Step1: Calculate surface - area of rectangular prism

The surface - area formula of a rectangular prism is $2(lw + lh+wh)$, where $l = 8$ ft, $w = 6$ ft, and $h = 7$ ft.
$SA=2(8\times6 + 8\times7+6\times7)$
$SA = 2(48 + 56+42)$
$SA = 2\times146$
$SA = 292$ square feet.

Step2: Calculate total cost

The wallpaper costs $2$ dollars per square foot. So the total cost $C$ is the surface - area times the cost per square foot.
$C=292\times2$
$C = 584$ dollars.

Answer:

$584$