contestada

In measuring the volume of the​ object, when you reduce the length of your ruler by a factor of 8​, the number of volume elements increases by a factor of 512 what's the dimension

Respuesta :

calculista

Answer:

3

Step-by-step explanation:

we know that

In this problem we can use this equation:

[tex]N=R^{D}[/tex]

Where:

N is the increase factor

R is the reduce factor

D is the dimension

we have

[tex]N=512\\R=8[/tex]

substitute the given values

[tex]512=8^{D}[/tex]

solve for D

Apply log both sides

[tex]log(512)=log(8^{D})[/tex]

Apply property of logarithms

[tex]log(512)=(D)log(8)[/tex]

[tex]D=log(512)/log(8)=3[/tex]

therefore

The dimension is 3