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?
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