Answer:
we need 48 cubes to fill the prism
Step-by-step 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.