Question

the surface area of the solid shown is square inches 12 in. 8 in. 6 in.

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.

Step2: Identify the values of $l$, $w$, and $h$

Here, $l = 12$ in, $w = 8$ in, and $h = 6$ in.

Step3: Calculate $lw$, $lh$, and $wh$

$lw=12\times8 = 96$ square - inches, $lh = 12\times6=72$ square - inches, $wh = 8\times6 = 48$ square - inches.

Step4: Calculate the sum inside the parentheses

$lw+lh + wh=96 + 72+48=216$ square - inches.

Step5: Calculate the surface area

$SA = 2\times216 = 432$ square - inches.

Answer:

432