1 dimension = length
2 dimensions = area
3 dimensions = volume
In mathematics, "volume" is sometimes used as a generic term for "extent" in the however-many-dimensional space under discussion. Sometimes this is prefixed with the dimensionality to make it clearer, but not always. For example, you might see something talking about the "volume" of a hypercube, or the "4-volume" if the writer is making a special effort to avoid ambiguity.
However, if you're not reading some abstract mathematical paper discussing n-dimensional spaces, it's a pretty good bet that "volume" is referring to the 3 "normal" spatial dimensions.
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Area is calculated in two dimensions.One dimension would be length, consisting of one measurement, length.Two dimensions constitutes area, which has length and width.Three dimensions contains volume, with length, width, and depth.
You would need a 3rd dimension to calculate a volume.
If each dimension is doubled, the prism then haseight times the volume that it had before.
A gallon is a measure of volume and that requires more than one dimension.