Question

Prove that 1000 cm³ = 1 L
Prove that 1 m³ = 1000 L

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Answer 1

Step-by-step explanation:

1.Several comments refer to the liter as “formerly” 1 kg of water at 4 °C. Actually, the original French definition was 1 cubic decimeter. From 1904 to 1964, a mere 60 years of its 223 year life, it was defined as exactly 1 kg H2O at 4 °C. That decision was abrogated in 1964.

Howard is right about the comma in “1,000” but I know 1 L = 1000 cm³, “cause the SI Brochure tells me so.” Quote follows (from Table 6 in Section 4)

1 L = 1 l = 1 dm³ = 10³ cm³ = 10^−3 m³

2.1 liter is, by definition, 1 cubic decimeter, where 1 decimeter is 1/10 meter.

So 1000l=1000dm3=1000(1/10m)3=1000/103m3=1m3

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