Question

el volumen de un cubo es de 125 cm3 ¿ cuantas veses aumentara el volumen de ese cubo si se duplica la medida de su arista

Answer 1

Answer: 8 times.

Step-by-step explanation:

I will answer in English:

This says:

The volume of a cube is 125cm^3

How many times the volume will increase if we duplicate the lenght of the side?

If L is the lenght of the side, we have that the volume of the cube is:

V = L^3

If we duplicate the lenght of the side, the new volume is:

V = (2*L)^3 = 8*L^3

So we can see that the volume of the new cube is 8 times the volume of the previous cube.

Now,  we can do the math, for our original cube we have:

L^3 = 125cm^3

L = 5cm

the new cube has L' = 2*L = 10cm

The volume of this cube is:

V' = L'^3 = 10cm^3 = 1000cm^3

the ratio V'/V is:

1000cm^3/125cm^3 = 8