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Step1: Identify the surface - area formula for a rectangular prism
The surface - area formula of a rectangular prism is $S = 2(ab+bc + ac)$, where $a$, $b$, and $c$ are the lengths of the three sides of the rectangular prism. Here, $a = 3m$, $b = 3m$, and $c = 6m$.
Step2: Calculate $ab$
$ab=3\times3 = 9$
Step3: Calculate $bc$
$bc = 3\times6=18$
Step4: Calculate $ac$
$ac=3\times6 = 18$
Step5: Substitute into the formula
$S=2(9 + 18+18)$
$S=2\times45$
$S = 90$
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$90$