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?

Guest Nov 16, 2019

#2**+1 **

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 ?

Melody Nov 17, 2019