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

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

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step-by-step explanation: