What is the correct unit this volume equation?

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The discussion centers on calculating the side length of a cubic box with a volume of 1.0 L. The formula used is V = s^3, leading to the calculation of s = 1.0 L^(1/3), which simplifies to approximately 0.33 m. A key point raised is the need to convert liters to cubic centimeters (cm³) for clarity, as 1 L equals 1000 cm³. This conversion is essential for accurately determining the dimensions in standard metric units.

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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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