An 8cm square piece of cardboardis made into an open-topped box by cutting Xcm from each corner.
A) What is the volume of the box?
B) What is the max value of x?
A) V=L x W x H
V=(8-2x)(8-2x)(x)
V=64-16x-16x+4x squared(x)
V=64x-16x squared- 16x squared+4x cubed
V=4x cubed-32x squared-64x
B) The max value of x has to be three. The reason why four wouldn't work is because the side is 8cm. If you had taken away 4cm off both of the corners, there would be nothing left for a open topped box.
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