Question

The length of a rectangular prism is 5 more than twice the width w. The volume of the prism is 2w^3w^2 + 5w. What's the simplified expression for the height of the prism

Answer 1

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The length of a rectangular prism is 5 more than twice the width w. The volume of the prism is 2w^3 + w^2 + 5w. What's the simplified expression for the height of the prism

V=f(w)
2w^3 + w^2 + 5w
v=w^2*l
svl l=v/w^2

V=w^2*(2*w+5)

2w^3 + w^2 + 5w=w^2*(2*w+5)
(2*w+5)= (2w^3 + w^2 + 5w)/w^2
w=5/4