A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 14 in. by 22 in. by cutting out equal squares of side x at each corner and then folding up the sides . Express the volume V of the box as a function of x.
The dimension of the rectangular piece of cardboard is 14 in. by 22 in
And we construct a box with an open top by cutting out equal squares of side x at each corner and then folding up the sides.
Let the side length of the square is x in.
Since a square of side length x in is cut out from each corner, the length and width of the box are
Therefore, the volume of th...
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