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Step1: Recall surface - area formula for 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. Here $a = 3$, $b = 4$, and $c = 5$.
Step2: Calculate the three products
$ab=3\times4 = 12$, $bc = 4\times5=20$, $ac=3\times5 = 15$.
Step3: Calculate the sum of the products
$ab + bc+ac=12 + 20+15=47$.
Step4: Multiply by 2
$S=2\times47 = 94$.
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$94$