# How do you find the dimensions of a rectangular box that has the largest volume and surface area of 56 square units?

More rigorously, we can use calculus:

The partial derivatives of this function are:

and

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To find the dimensions of the rectangular box with the largest volume and a surface area of 56 square units, the dimensions should be ( l = 4 ) units, ( w = 4 ) units, and ( h = 2 ) units.

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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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