Aright rectangular prism has these dimensions:

length: fraction 1 and 1 over 3 units
width: fraction 5 over 6 unit
height: fraction 2 over 3 unit

how many cubes of side length 1 over 6 unit are required to completely pack the prism without any gap or overlap?

40

80

160

240

Volume of rectangular prism = 1 1/3 x 5/6 x 2/3 = 4/3 x 5/6 x 2/3 = 20/27

Volume of cube = 1/6 x 1/6 x 1/6 = 1/216

Number of cubes that will pack the rectangular prism = 20/27 / 1/216 = 160

Therefore the answer is the third choice or letter C.

I hope my answer has come to your help. God bless and have a nice day ahead!

Dwould be the answer