# Six congruent rectangular prisms volume can be modeled by V(x) below. V(x)=54x^3+264x^2-738x+420

Question
Solid Geometry
Six congruent rectangular prisms volume can be modeled by V(x) below.
$$\displaystyle{V}{\left({x}\right)}={54}{x}^{{3}}+{264}{x}^{{2}}-{738}{x}+{420}$$

2021-03-08
Since there are 6 rectangular prisms, we can factor out 6 from the polynomial:
$$\displaystyle{6}{\left({9}{x}^{{3}}+{44}{x}^{{2}}-{123}{x}+{70}\right)}$$
So, the volume of one rectangular prism is:
PSK9x^3+44x^2-123x+70SK

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The given figure is:

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