Question

ahmad builds large wooden storage boxes. the boxes are shaped like rectangular prisms, as shown below. he covers each side of each box with special wallpaper. if he makes 10 of these boxes, how many square feet of wallpaper will he need? the rectangular prism has dimensions 8 ft, 7 ft, 2 ft.

Explanation:

Step1: Find surface area of one box

The formula for the surface area \( S \) of a rectangular prism is \( S = 2(lw + lh + wh) \), where \( l = 8 \) ft, \( w = 7 \) ft, \( h = 2 \) ft.
\[

$$\begin{align*} S&=2(8\times7 + 8\times2 + 7\times2)\\ &=2(56 + 16 + 14)\\ &=2(86)\\ & = 172 \end{align*}$$

\]

Step2: Find total for 10 boxes

Multiply surface area of one box by 10: \( 172\times10 = 1720 \)

Answer:

1720