Question

what is the surface area of the right rectangular prism below? 13 in. 6 in. 4 in. a 130 in.² b 154 in.² c 308 in.² d 312 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, $l = 6$ in, $w = 4$ in, and $h = 13$ in.

Step2: Calculate $lw$

$lw=6\times4 = 24$ in²

Step3: Calculate $lh$

$lh=6\times13 = 78$ in²

Step4: Calculate $wh$

$wh=4\times13 = 52$ in²

Step5: Substitute into formula

$SA = 2(24 + 78+52)$
$SA = 2\times(154)$
$SA = 308$ in²

Answer:

C. 308 in.²