Question

E 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

Answer 1

Answer:

The dimension is 4

Explanation:

Using the equation

N = R^d

Where,

N is the increase factor = 512

R is the reduce factor = 8

d is the dimension

512 = 5^d

Solving by logarithm

1log 512 = d log 5

D = log 512 ÷ log 5

= 3.87

Approximately 4

Answer 2

`D=3`.88

Explanation:

We can use this equation:

`N=R^(D)`

Where:

• N is the increase factor (N=512)
• R is the reduce factor (R=8)
• D is the dimension

`512=5^(D)`

We just need to solve it for D

`D=log(512)/log(5)`

`D=3`.88

Therefore the dimension will be 3

I hope it helps you!