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Given an open top box with a square base, the box is to have a volume of 6 ft squared . How do you express the surface area as a function of its side, x?

Answer 1

Isaiah Anthony

Is the question correct. You have mixed you units. Volume is a cubic measurement so can not be 6 ft squared.

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Answer 2

Nathan Axel

The surface area ( A ) of the open-top box with a square base, in terms of its side length ( x ), can be expressed as:

[ A(x) = x^2 + 4x ]

Where:

( x ) is the side length of the square base.
( x^2 ) represents the area of the square base.
( 4x ) represents the combined area of the four identical sides of the box.

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Answer from HIX Tutor

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.