From a 28-inch by 28-inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. let x represent the length of the sides of the squares, in inches, that are cut out. express the volume of the box as a function of x.

t The volume of the box as a function of x is given by

Step-by-step explanation:

Since we have given that

Length of metal = 28 inch

Width of metal = 28 inch

Since squares are cut out of the four corners so that the sides can then be folded up to make a box.

Let the length of the sides of the squares that are cut out be 'x'.

So, Length of box would be

Width of the box would be

Height of the box would be x.

As we know the formula for "Volume of box":

Hence, the volume of the box as a function of x is given by

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step-by-step explanation: