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# word problem

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Joined: 30 May 2005
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word problem [#permalink]  17 Aug 2005, 08:46
Hello
i come across this problem in a book to enhance skills for word problems
good practice for everyone i guess

An open topped box with a square base is to be constructed from a sheet of metal in a such a way that the completed boxis made of 2 m2 of the sheet of metal
express the volume of the box as a function of the withd of the base
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area of the sheet = 2x2 = 4

Surface area of the box = b^2 + (4bh) where b is the base and h is the height

so b^2 + (4bh) = 4 so h = (4-b^2)/4b

volume = b^2*h

substitute for h we get volume = b*(4-b^2)/4
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