What is the volume, in cubic inches, of a rectangular prism with a height of 3 2/3 in, a length of 2 1/6 in, and a width of 1 1/2 in? Your answer should be a mixed number in simplest form.

The volume of a rectangular prism is calculated by multiplying its length, width, and height.

Volume = Length x Width x Height

Plugging in the given values:
Volume = (2 1/6) x (1 1/2) x (3 2/3)
= (13/6) x (3/2) x (11/3)
= 143/18
= 7 17/18

Therefore, the volume of the rectangular prism is 7 17/18 cubic inches.