Asked by Timbs
A rectangular piece of cardboard, whose area is 323 square inches, is made into an open box by cutting a 2-inch square from each corner and turning up the sides. If the box is to have a volume of 390 cubic inches, what size cardboard should you start with?
Answers
Answered by
oobleck
If the cardboard is x by y then we need
xy = 323
(x-4)(y-4)(2) = 390
So a 17x19 sheet of cardboard does the trick
or,
323 = only has factors of 17 and 19
and it is easy to check that 13*15*2 = 390
xy = 323
(x-4)(y-4)(2) = 390
So a 17x19 sheet of cardboard does the trick
or,
323 = only has factors of 17 and 19
and it is easy to check that 13*15*2 = 390
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