Question

Alejandro has 64-centimeter cubes. He uses them to build cubes with

different side lengths. How many different cubes can he make?

Answer 1

7 different cubes

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.

`64= 64* 1* 1`

`64= 32* 2* 1\\64= 16* 4* 1\\64= 16* 2* 2\\64= 8* 8* 1\\64= 8* 4* 2\\64= 4* 4* 4`

Hence, we can have 7 different cubes with 64 cm cubes.