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Volume has three dimensions - width, height and depth.
8
The volume of an object has three dimensions and when all three dimensions are multiplied together the product is called the volume which is measured in cubic units.
Yes.
The are no dimensions: the result is a pure number which is 24. "2 by 3 by 4" is a numerical expression: there are no dimensions associated with any of the three numbers and so there are no dimensions in their products.