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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

User Baskren
by
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1 Answer

7 votes

Answer:

3

Explanation:

we know that

In this problem we can use this equation:


N=R^(D)

Where:

N is the increase factor

R is the reduce factor

D is the dimension

we have


N=512\\R=8

substitute the given values


512=8^(D)

solve for D

Apply log both sides


log(512)=log(8^(D))

Apply property of logarithms


log(512)=(D)log(8)


D=log(512)/log(8)=3

therefore

The dimension is 3

User Virag Brahme
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