Andre wants to make an open box by cutting out corners of a 22 inch by 28 inch poster board and then folding up the sides. the volume v(x) in cubic inches of the open top box is a function of the side length x in inches of the square cutouts. write and expression for v(x)

The volume of the open top box is cubic inches

The volume of the box is V = (length)(width)(height).

Let the cutout side length be inch,

We are to cut out by

So, the length of the box is inch

the width of the box is inch and

the height of the box is inch

Now, substituting the values in the volume formula, we get

cubic inches

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v(x) = x(22 - 2x)(28 - 2x)

Step-by-step explanation:

The length of the box = 28 - 2x inches,

The width = 22 - 2x inches and the height  = x inches.

v(x) = x * width * length.

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