Respuesta :

alinakincsem

Answer:

3/5

Step-by-step explanation:

We are to find the similarity ratio of a cube with volume  [tex] 729 m^3 [/tex] to a cube with volume [tex] 3375 m^3 [/tex].

We know the formula for the ratio of two cubes:

[tex]\frac{V_1}{V_2} =k^3[/tex]

where [tex]k[/tex] is the similarity ratio of the two cubes.

Substituting the given values in the formula to find [tex]k[/tex]:

[tex] k^3 = \frac {729} {3375} [/tex]

[tex] k^3 = \frac {27} {125} [/tex]

[tex]k^3 = (\frac {27} {125})^3[/tex]

[tex]k=\frac{3}{5}[/tex]

Therefore, the similarity ratio of the two cubes is 3/5.


carlosego

Answer:

The similitary ratio is 3:5

Step-by-step explanation:

To answer this question let's call:

[tex]V_1 = 729\ m^3[/tex] to volume 1.

Let's call:

[tex]V_2 = 3375\ m^3[/tex] to volume 2


The relation k of simiiltud between both volumes we find dividing [tex]V_1[/tex] between [tex]V_2[/tex]

[tex]\frac{V_1}{V_2} = k^3\\\\\frac{V_1}{V_2} = \frac{729m^3}{3375m^3}\\\\\frac{V_1}{V_2} = \frac{27}{125}\\\\\frac{V_1}{V_2} = \frac{3^3}{5^3}\\\\k^3 = (\frac{3}{5})^3\\\\k = \frac{3}{5}[/tex]