How do you find the the length, width and height of rectangular prism if the volume is #h^3+h^2-20h# cubic meters?

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Answer 1 · 2016-11-17T00:37:40

If l=length , w=width, h=height of the prism the volume is

#V=l*w*h#

But we know that #V=h^3+h^2-20h# hence

#l*w*h=h^3+h^2-20h#

#(l*w*h)/h=(h^3+h^2-20h)/h#

#l*w=h^2+h-20#

#l*w=(h+5)*(h-4)#

From the last equation we find that #l=(h+5)# m and #w=(h-4)# m and #h=h# m