Question

a right rectangular prism is 2.75 in by 4 in by 16.5 in. what is the total surface area of the prism? 112.75 in² 122.375 in² 222.75 in² 244.75 in²

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. Given $l = 16.5$ in, $w = 4$ in, and $h = 2.75$ in.

Step2: Calculate $lw$

$lw=16.5\times4 = 66$

Step3: Calculate $lh$

$lh=16.5\times2.75 = 45.375$

Step4: Calculate $wh$

$wh=4\times2.75 = 11$

Step5: Calculate $lw + lh+wh$

$lw + lh+wh=66 + 45.375+11=122.375$

Step6: Calculate the surface area

$SA = 2\times122.375=244.75$ in²

Answer:

244.75 in²