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Can someone please solve this equation?
A box with an open top is to be constructed by cutting a-inch squares from the corners of a rectangular sheet of tin whose length is twice its width. What size sheet will produce a box having a volume of 528 in3 when a = 3?
Width = ?
Length = ?
1 Answer
- Julius NLv 79 years agoFavorite Answer
L = 2W
vol = 528 = (L-2a)(W-2a)(a)
528 = (2W-6)(W-6)(3)
528 = 6w^2 -36w -18w +108
528 = 6w^2 -54w +108
-6w^2 +54w +420 = 0; w=14
check your answer:
w= 14
a= 3
l= 2w= 28
(l-2a)(w-2a)(a)= 528