Question

question 4 (multiple choice worth 1 points) (06 04 mc) a right rectangular prism is 3 in by 4.25 in by 18.25 in. what is the total surface area of the prism? o 145.0625 in² o 180.625 in² o 264.625 in² o 290.125 in²

Explanation:

Step1: Recall surface - area formula for rectangular prism

The formula for the surface area of a rectangular prism is $SA = 2(lw+lh + wh)$, where $l$ is the length, $w$ is the width, and $h$ is the height. Let $l = 18.25$ in, $w = 4.25$ in, and $h = 3$ in.

Step2: Calculate $lw$

$lw=18.25\times4.25 = 77.5625$

Step3: Calculate $lh$

$lh=18.25\times3=54.75$

Step4: Calculate $wh$

$wh = 4.25\times3=12.75$

Step5: Calculate $lw + lh+wh$

$lw + lh+wh=77.5625 + 54.75+12.75=145.0625$

Step6: Calculate the surface area $SA$

$SA = 2\times145.0625=290.125$ in²

Answer:

$290.125$ in²