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The volume of a rectangular prism is calculated by multiplying the height, length, and width.
Height = 3 2/3 = 11/3 inches
Length = 2 1/6 = 13/6 inches
Width = 1 1/2 = 3/2 inches
Volume = (11/3) * (13/6) * (3/2)
Volume = 143/9
Volume = 15 8/9 cubic inches
Therefore, the volume of the rectangular prism is 15 8/9 cubic inches.