# If 2400 square centimeters of material is available to make a box with a square base and an open top, how do you find the largest possible volume of the box?

The dimension of the box I found are:

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To find the largest possible volume of the box, maximize the volume function. Let x be the side length of the square base. The volume function is V(x) = x^2(2400 - 4x), where 2400 - 4x represents the material used for the sides. Find the critical points by setting the derivative of V(x) equal to zero and solve for x. Then, evaluate V(x) at the critical points and the endpoints of the interval [0, 600]. The largest value of V(x) represents the maximum volume of the box.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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