Answer:
7 different cubes
Step-by-step explanation:
Given: Alejandro has 64-centimeter cubes.
We know, cube is three dimentional solid object
Now, using 64 centimeter cubes to build cubes with different side lengths.
∴ Finding the different possible 3 multiple(dimention) of 64 to know the number of cubes.
[tex]64= 64\times 1\times 1[/tex]
[tex]64= 32\times 2\times 1\\64= 16\times 4\times 1\\64= 16\times 2\times 2\\64= 8\times 8\times 1\\64= 8\times 4\times 2\\64= 4\times 4\times 4[/tex]
Hence, we can have 7 different cubes with 64 cm cubes.