Question

what is the surface area of the rectangular prism? 184 in.² 174 in.² 432 in.² 348 in.²

Explanation:

Step1: Recall surface - area formula

The surface - area formula of a rectangular prism is $SA = 2(lw+lh + wh)$, where $l$ is the length, $w$ is the width, and $h$ is the height. Here, $l = 9$ in, $w = 6$ in, and $h = 8$ in.

Step2: Calculate $lw$, $lh$, and $wh$

$lw=9\times6 = 54$ in², $lh=9\times8 = 72$ in², $wh=6\times8 = 48$ in².

Step3: Calculate sum inside parentheses

$lw + lh+wh=54 + 72+48=174$ in².

Step4: Multiply by 2

$SA = 2\times174=348$ in².

Answer:

$348$ in²