find the dimensions of the rectangular prism v=5y^3+31y^2+6y

Question

find expressions for the possible dimensions of the rectangular prism

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Answer 1

The volume of a rectangular prism is (length)(width)(height)

 

V = 5y³+31y²+6y

 

   = y(5y²+31y+6) = y(5y+1)(y+6)

 

One possibility for the dimensions is y by 5y+1 by y+6.