How many cubes with side lengths of 1/3 cm does it take to fill the prism?

we need 48 cubes to fill the prism

Explanation:

To know how many cubes does it take to fill the prism we are going to do the following:

1. Calculate the volume of the prism:

Volume = Width x Lenght x Height

Volume = 1cm x 2 2/3 xm x 2/3 cm = 16/9 cm^3

2. Calculate the volume of the cube:

Volume cube = (1/3 cm)^3 = 1/27 cm^3

3. Now Number Cubes = Volume prism / volume cube

Volume prism / volume cube = (16/9) / (1/27) = 48

Then we need 48 cubes to fill the prism.