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    A rectangular sheet dimensions a x b is to be made into an open-topped box by cutting a square of side h from each corner and folding the 4 sides up. Find the value of h which allows the maximum volume of the box?
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    you need to find expressions for the three sides of the box... one will be h

    then multiply them together to get an expression for the volume... then you can use calculus to find the maximum volume.
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    (Original post by the bear)
    you need to find expressions for the three sides of the box... one will be h

    then multiply them together to get an expression for the volume... then you can use calculus to find the maximum volume.
    so ive got h(b-2h)(a-2h) but then what do u differentiate with respect to/
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    (Original post by haron1)
    so ive got h(b-2h)(a-2h) but then what do u differentiate with respect to/
    a,b are constants. h is the only variable, and you trying to find the value of h that gives the max. volume. So, "h".
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    as ghostwalker says, you find dv/dh
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    (Original post by the bear)
    as ghostwalker says, you find dv/dh
    ok thanks
 
 
 
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Updated: November 8, 2015
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