A 2 meter by 2 meter square sheet of titanium alloy is used to make an open box by cutting squares of equal size from the four corners and folding up the sides. What size squares (side length in meters) should be cut to maximize the volume of the box? (A) 1 (B) (0) 1/2 113 112 - SN (E)

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A 2 meter by 2 meter square sheet of titanium alloy is used to make an open box by cutting squares of equal size from the four corners and folding up the sides. What size squares (side length in meters) should be cut to maximize the volume of the box? (A) 1 (B)

\frac{2}{5}

(C)

\frac{1}{4}

(D)

\frac{1}{3}

(E)

\frac{1}{2}

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