Question

sheila has a box shaped like a right rectangular prism. she wants to cover the entire box with paper. 2 in. 12 in. 9 in. what is the area of space that will need to be covered? a 300 in.² b. 216 in.² c. 150 in.² d. 126 in.²

Explanation:

Step1: Recall surface - area formula

The surface - area formula for a rectangular prism is $SA = 2(lw+lh + wh)$, where $l$ is the length, $w$ is the width, and $h$ is the height. Here, $l = 12$ in, $w = 9$ in, and $h = 2$ in.

Step2: Calculate $lw$

$lw=12\times9 = 108$ in².

Step3: Calculate $lh$

$lh = 12\times2=24$ in².

Step4: Calculate $wh$

$wh=9\times2 = 18$ in².

Step5: Calculate the sum inside the parentheses

$lw+lh + wh=108 + 24+18=150$ in².

Step6: Calculate the surface area

$SA = 2\times150=300$ in².

Answer:

A. 300 in.²