Posted by **Jade** on Thursday, March 8, 2007 at 6:10pm.

An open-top box is to be constructed from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.

1. Find the function V that represents the volume of the box in terms of x

2.How do I graph this gfunction to show the valid range of the variable x.

One side of the box is 6 - 2x and the other is 8 - 2x. When folded up, the height of the side of the box will be x.

V = x (8-2x)(6-2x)

The range of x is from 0 up to 3. When x - 3, one of the box side lengths becomes zero, and so does the volume.

Make your graph of V vs x in the usual way.

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