Respuesta :

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.

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