Answer:
V(x) = (17 - 2x)(11 - 2x)x
Step-by-step explanation:
We are told that She is making an open top box. This means the box will have only 5 faces.
Now, she cuts squares out of the paper that measures 11 inches wide and 17 inches long.
Now, if the square side is x, it means the width of the box will be x. Since there are 2 upright faces that serve as width.
Thus, measurement of width from the 11 inches paper = (11 - 2x)
Now, similarly, there will be 2 upright sides that will serve as length. Thus, length from the 17 inches side is;
(17 - 2x)
Now,recall that a side of the square is x.
Thus, the depth is x.
Now, volume of a box is given by;
V = length x width x depth
Thus, in this case;
V(x) = (17 - 2x)(11 - 2x)x
