SOLUTION: a rectangular prism has a width of x cm. its length is 3 cm more than its width, and its height is 4 cm more than its length. write an algebraic expression, in simplified form, for

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Question 880514: a rectangular prism has a width of x cm. its length is 3 cm more than its width, and its height is 4 cm more than its length. write an algebraic expression, in simplified form, for the volume of the prism.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Width: x
Length: x+3
Height: (x+3)+4 = x+7

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Volume = (Width)*(Length)*(Height)

Volume = (x)*(x+3)*(x+7)

Volume = x(x^2+10x+21)

Volume = x^3+10x^2+21x