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From a square piece of cardboard measuring 2a on each side a box with no top is to be formed by cutting out from each corner a square with sides b and bending up the flaps, For what value of b (in terms of a) will the box contain the greatest volume?

 Nov 16, 2019
 #1
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 Nov 17, 2019
edited by Guest  Nov 17, 2019
 #2
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From a square piece of cardboard measuring 2a on each side a box with no top is to be formed by cutting out from each corner a square with sides b and bending up the flaps, For what value of b (in terms of a) will the box contain the greatest volume?

 

The easiest way is to give 'a'    a value. 1 is a good choice.     Let a=1

 

Now just solve it like you would solve any of these.   (With calculus) 

 

If you end up with b=3 (which it doesn't)   then you can say b=3a.

 

Is that enough help to get you started ?

 Nov 17, 2019

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