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An Open Box of Maximum Volume Is to Be Made

Question 108

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An open box of maximum volume is to be made from a square piece of material 22 centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure) . Write the volume V as a function of x, the length of the corner squares. ​ An open box of maximum volume is to be made from a square piece of material 22 centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure) . Write the volume V as a function of x, the length of the corner squares. ​ ​ A) V = x(22 - 2x) <sup>2</sup> B) V = x + (22 - 2x) <sup>2</sup> C) V = x<sup>2</sup> + (22 - 2x) D) V = x<sup>2</sup>(22 - 2x) E) V = x(22 - 2x) ​


A) V = x(22 - 2x) 2
B) V = x + (22 - 2x) 2
C) V = x2 + (22 - 2x)
D) V = x2(22 - 2x)
E) V = x(22 - 2x)

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