Answer
$A=n^2+4n+4$
Work Step by Step
The volume of the prism is:
$V=Ah$
Substitute:
$3n^3+13n^2+16n+4=A(3n+1)$
$A=\frac{3n^3+13n^2+16n+4}{3n+1}$
$n^2+4n+4$
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$3n+1) 3n^3+13n^2+16n+4$
$-3n^3-n^2$
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$12n^2+16n$
$-12n^2-4n$
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$12n+4$
$-12n-4$
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$0$
Hence, the answer is $A=n^2+4n+4$.
