A cube has a side length of 1/3 inch.

It would take __ blocks with a side length of 1/6 inch to fill the cube. It would take __ blocks with a side length of 1/9 inch to fill the cube.

Answer the blanks above.

You have the volume of the cube is:

Vcube=a^3

Vcube = (1/3 inch) ^3

Vcube=1/27 inch^3

The volume of a block with a side length of 1/6 inch is:

V1=1/216 inch^3

(1/27 inch^3) / (1/216 inch^3) = 8 blocks with a side length of 1/6 inch

The volume of a block with a side length of 1/9 inch is:

V2=1/729 inch^3

(1/27 inch^3) / (1/729 inch^3) = 27 blocks with a side length of 1/9 inch