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Thread: practical problems involving maximum and minimum values

  1. #1
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    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. #2
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    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.
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  3. #3
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    Re: practical problems involving maximum and minimum values

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

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