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The length of a rectangular prism is three times as long as its width and its height is two feet longer than its width. If the volume of the prism is 135 cubic feet what is its width?
Wiki User
∙ 7y ago
V = ( L ) ( W ) ( H ) = ( 3W ) ( W +2 ) ( W ) = 3W^3 + 6W^2
135 = 3W^3 + 6W^2
Assume W = 3 ft:
( 3 ) ( 3^3 ) + ( 6 ) ( 3 )^2 = ( 3 ) ( 27 ) + ( 6 ) ( 9 ) = 81 + 54 = 135
W = 3 ft <-------------------------
Wiki User
∙ 7y ago
Wiki User
∙ 7y agoIt works out that the width is 3 feet because 3*5*9 = 135 cubic feet
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