Question

find the surface area of the rectangular prism.

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, $l = 7$ in, $w = 5$ in, and $h = 5$ in.

Step2: Calculate $lw$

$lw=7\times5 = 35$ square inches.

Step3: Calculate $lh$

$lh=7\times5 = 35$ square inches.

Step4: Calculate $wh$

$wh=5\times5 = 25$ square inches.

Step5: Substitute into formula

$SA = 2(35 + 35+25)$.
First, add the values inside the parentheses: $35 + 35+25=95$.
Then, multiply by 2: $SA = 2\times95=190$ square inches.

Answer:

190 square inches