Cartesian Products of Regions 

Create a Cartesian product of a disk and a line.

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X \[ScriptCapitalR] = RegionProduct[Disk[{0, 0}, 1], Line[{{0}, {1}}]];

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X DiscretizeRegion[\[ScriptCapitalR]]

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Create region products with formula regions.

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X annulus = ImplicitRegion[1 < x^2 + y^2 < 3, {x, y}];

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X \[ScriptCapitalR] = RegionProduct[annulus, Line[{{0}, {1}}]];

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X BoundaryDiscretizeRegion[\[ScriptCapitalR]]

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Properties, such as volume, can be computed like any other region.

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X Volume[\[ScriptCapitalR]]

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Create and compute with region products of any dimension.

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X \[ScriptCapitalR] = RegionProduct[Ball[], Cuboid[]];

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X RegionDimension[\[ScriptCapitalR]]

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X RegionCentroid[\[ScriptCapitalR]]

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X RegionMeasure[\[ScriptCapitalR]]

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