Respuesta :

Number of cubes =

[tex] \frac{12 \times 12 \times 12}{ \frac{3}{4} \times\frac{3}{4} \times\frac{3}{4} } = \frac{12 \times 12 \times 12}{ 3 \times 3 \times 3 } \times 4 \times 4 \times 4= \boxed{4096}[/tex]
facundo3141592

By taking the quotient between the volumes, we will see that we need  4,096 of the small cubes to make the larger one.

How many of the smaller cubes do we need?

To see this, we need to find the quotient between the volume of the larger cube and the smaller cube.

Remember that for a cube of side S, the volume is S^3, then:

  • For the large cube, the volume is V = (12 cm)^3 = 1,728 cm^3
  • For the smaller cube, the volume is V' = (3/4 cm)^3 = 0.422 cm^3

The quotient is:

N = (1,728 cm^3)/(0.422 cm^3) = 4,096

So we need around 4,096 of the smaller cubes to make the larger one.

If you want to learn more about volumes, you can read:

https://brainly.com/question/1972490

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