What is the correct unit this volume equation?

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To find the length of each side of a cubic box with a volume of 1.0 L, the volume formula V = s^3 can be applied. Since 1 liter is equivalent to 1000 cm³, the equation simplifies to s = (1000 cm³)^(1/3), resulting in each side measuring approximately 10 cm. The confusion arises regarding the appropriate unit for the side length, which is typically expressed in centimeters when converting from liters. Therefore, the correct unit for the side length in this context is centimeters. Understanding the conversion from liters to cubic centimeters is essential for solving such volume problems accurately.
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If a cubic box(all sides the same length) has a volume of 1.0 L, what is the length of each side of the box?

(L= Liter)



V= l x w x h or in the problem V=s^2



So I did:

1.0 L^(1\3) = s^3(^1\3)

so I got each side to = .33

What I am confused about is what unit is normally assigned to this type of problem when the value is not given?
 
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You're overcomplicating this. What is the definition of the unit [L] (liter)?
 
Convert liter to cm^3 first.
 
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