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:

$D=3$.88

Step-by-step 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!

Answer 2

Answer:

The dimension is 4

Step-by-step 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