State how much larger or smaller the first unit is than the second.
-cubic micrometer, cubic meter
A) Smaller by a factor of $10 ^ { 9 }$
B) Smaller by a factor of 1018
C) Smaller by a factor of $10 ^ { 6 }$
D) Smaller by a factor of $10 ^ { 12 }$

Question

State how much larger or smaller the first unit is than the second.
-cubic micrometer, cubic meter 
A) Smaller by a factor of $10 ^ { 9 }$
B) Smaller by a factor of 1018
C) Smaller by a factor of $10 ^ { 6 }$
D) Smaller by a factor of $10 ^ { 12 }$

Quizplus · Accepted Answer

A cubic meter is $10^6$ cubic centimeters, and since there are $10^6$ cubic micrometers in a cubic millimeter and $10^3$ cubic millimeters in a cubic centimeter, this means there are $10^{18}$ cubic micrometers in a cubic meter, making the cubic micrometer smaller by a factor of $10^{18}$.

State How Much Larger or Smaller the First Unit Is 10910 ^ { 9 }109

State How Much Larger or Smaller the First Unit Is $10 ^ { 9 }$