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The height of a bookcase is 2 1/2 times the width. The depth is 1/3 of the width. The volume of the cabinet is 22,500 in^3.

What are the bookshelf’s dimensions?

 Dec 6, 2018
 #1
avatar+18275 
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V = h x d x w      volume of the case

22500 = (2.5 w)(1/3 w)(w)

22500 = .83333 w^3

27000 = w^3

w = 30   in           h = 2.5 x 30 = 75 in         d = 1/3 (30) = 10 in

 Dec 6, 2018

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