Volume from Area

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If three sides of a rectangular solid have areas of 12, 18, and 24, what is the volume of the solid?

Review: Volume from Area


Explanation

If we call the dimensions of this rectangular solid are a, b, and c, then its volume will be abc. Also, we know that , , and . We could solve properly through substitution, but we can also directly get the values of these by looking at the factors:







Looking at which factors are common to which variable pairs, we must have . Therefore, the volume is .

The correct answer is (A).


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