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Answer 1 · 2018-02-13T22:42:37

$SA=6x^2+36x+22$

The surface area of a rectangular prism is given by:

$2*(hw+hl+wl)$ where

$h$ is the height, $w$ is the width, and $l$ is the length.

$-----------------$

In this case, $h=(x-1), w=(x+7), l=(x+3)$ .

Plug into the formula:

$2*((x-1)(x+7)+(x-1)(x+3)+(x+7)(x+3))$

$2*(x^2+6x-7+x^2+2x-3+x^2+10x+21)$

$2*(3x^2+18x+11)$

$6x^2+36x+22$

Yay!