# Thread: practical problems involving maximum and minimum values

1. ## practical problems involving maximum and minimum values

A rectangular piece of canvas with dimensions 10m by 6m is to create a children's swimming pool.Equal size squares are to be cut form each corner and the remaining canvas will be folded up around some plastic tubing.Find the dimensions of the pool(correct to 2 decimal) so that the volume if water contained will be a maximum

Did anyone understand the meaning of the text?..i need guidance to make a start

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2. ## Re: practical problems involving maximum and minimum values

suppose you cut out $s \times s$ sized squares from the original canvas and fold it like they say.

You end up with a rectangular box of dimensions $(10-2s) \times (6-2s) \times s$

and the volume is the product of these dimensions i.e.

$V = (10-2s)(6-2s)s$

Are you supposed to maximize this without using calculus? This is the advanced algebra forum.

3. ## Re: practical problems involving maximum and minimum values

yeah...calculus is needed..anyway,thanks

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