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They could wind up to be the same number, but the units are different, so area is never

really equal to volume.

Take a cube with an edge of 6 inches.

Its total surface area is 6s2 = 216 square inches. Its volume is s3 = 216 cubic inches.

The '216' parts are the same, but square inches are not equal to cubic inches.

However, there are 10 rectangular prisms with side lengths whole number multiples of a unit, and the number of unit3 is the same as the number of unit3.

They are:

(3, 7, 42), (3, 8, 26), (3, 9, 18), (3, 10, 15), (3, 12, 12), (4, 5, 20), (4, 6, 12), (4, 8, 8), (5, 5, 10), and (6, 6, 6).

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Q: Is surface area ever equal to volume?
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