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mestny [16]
3 years ago
9

A rectangular prism has a volume of 16y^4+16^y^3+48y^2 cubic units. Which could be the base area and height of the prism?

Mathematics
1 answer:
Liula [17]3 years ago
5 0
\bf \textit{volume of a rectangular prism}\\\\
V=Bh~~
\begin{cases}
B=area~of\\
\qquad its~base\\
h=height\\
-----------\\
V=16y^4+16y^3+48y^2
\end{cases}
\\\\\\
16y^4+16y^3+48y^2=Bh\implies 16y^2(y^2+y+3)=Bh

so since its just two factors, you can pick either for the "B" or "h", or one can say that the trinomial is the "B", because it can be factored into a couple more binomials, either way will work.
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