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Sides become 10 - 2x and 18 - 2x, depth is x. Volume is therefore (10 - 2x)(18 - 2x)x

= (4x2 - 56x + 180)x

ie 4x3 - 56x2 + 180x.

Now try to find what value of x gives the greatest volume!

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14y ago
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Q: A square of side x inches is cut out each corner of a 10In by 18In piece of cardboard and the sides are folded up to form an open topped box write the volume v of the box as a function of x?
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