Litre, dm³ and cm³: Volume Units and Their Relations

Chemistry · Some Basic Concepts Of Chemistry · NEET

The key facts are simple: 1 litre (L) = 1000 millilitre (mL) = 1000 cm³ = 1 dm³. Also, 1 mL = 1 cm³ = 1 cc, so these three are the same size. The SI unit of volume is the cubic metre (m³), but chemistry labs use the smaller cm³ and dm³. Memory hook: "milli = cube = cc" — 1 mL, 1 cm³ and 1 cc are all one and the same small volume.
Volume Unit Relations1 m³SI unit1 dm³ = 1 L= 1000 mL1 cm³ = 1 mL= 1 cc÷1000÷10001 L = 1000 mL = 1000 cm³ = 1 dm³1 dm³ = (10 cm)³ = 1000 cm³ (cube the ratio!)
Volume ladder: each step down is ÷1000. Litre equals dm³, and mL equals cm³ equals cc. Always cube the length ratio: 1 dm = 10 cm so 1 dm³ = 1000 cm³.

Your doubts, answered

Is 1 mL the same as 1 cm³?

Yes. 1 mL = 1 cm³ exactly. They are two names for the same volume. In many books you also see "cc" (cubic centimetre), and 1 cc = 1 cm³ = 1 mL too. So mL, cm³ and cc are all equal. If a question gives 18 mL of water, you can read it as 18 cm³ without any conversion.

1 litre is equal to how many dm³?

1 L = 1 dm³. They are equal. This is because 1 dm = 10 cm, so 1 dm³ = 10 × 10 × 10 = 1000 cm³, and 1 L is also 1000 cm³ (since 1 L = 1000 mL = 1000 cm³). So litre and dm³ are the same size. Remember: 1 L = 1 dm³ = 1000 cm³ = 1000 mL.

What is the difference between cm³ and dm³?

They are just different sizes of the same kind of unit (cubic length). 1 dm = 10 cm, so 1 dm³ = 1000 cm³. A dm³ is 1000 times bigger than a cm³. Note it is 1000 (not 10) because volume cubes the length: (10)³ = 1000. So going from cm³ to dm³ you divide by 1000, and from dm³ to cm³ you multiply by 1000.

Why does chemistry use dm³ and cm³ instead of litre?

The true SI unit of volume is the cubic metre (m³), but m³ is far too big for lab work. So chemists use the smaller cm³ and dm³, which are proper SI-derived units. Litre (L) works fine and equals 1 dm³, but litre is not an SI unit. That is why exams often write dm³ instead of L — they mean the same volume.

How do I convert cm³ to litre?

Divide by 1000. Since 1 L = 1000 cm³, just move the decimal three places left. Example: 250 cm³ = 250 ÷ 1000 = 0.25 L. To go back from litre to cm³, multiply by 1000. Example: 0.5 L = 500 cm³ = 500 mL.

Is cc the same as mL and cm³?

Yes, all three are equal: 1 cc = 1 mL = 1 cm³. "cc" just means "cubic centimetre" written in short form. You see cc on syringes and medicine bottles. In NEET, if you meet cc, treat it exactly like mL or cm³ — no conversion needed.

⚠️ The NEET trap
Students think 1 dm³ = 100 cm³ because 1 dm = 10 cm, so they multiply by 10.
You must cube the length. 1 dm = 10 cm means 1 dm³ = (10 cm)³ = 10 × 10 × 10 = 1000 cm³. So 1 dm³ = 1000 cm³ = 1 L.
🧠 For volume, always cube the ratio: (10)³ = 1000, never just 10.

Real NEET questions

2018

In which of the following is the number of water molecules maximum?

A · 0.00224 L of water vapour at 1 atm and 273 K
B · 0.18 g of water
C · 18 mL of water
D · 10⁻³ mol of water
Solution: Convert each to moles and compare. (A) 0.00224 L at STP = 0.00224 ÷ 22.4 = 10⁻⁴ mol. (B) 0.18 g ÷ 18 g/mol = 0.01 mol. (C) 18 mL of water = 18 cm³ = 18 g (density 1 g/mL), so 18 ÷ 18 = 1 mol. (D) 10⁻³ mol. The largest is (C) with 1 mole, which has the most molecules. The key step is knowing 18 mL = 18 cm³ = 18 g of water, using 1 mL = 1 cm³.

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Frequently asked

What is the SI unit of volume?

The SI unit of volume is the cubic metre (m³). But it is very large for lab use, so chemistry uses smaller SI-derived units cm³ and dm³, and the common (non-SI) unit litre.

Is litre an SI unit?

No. Litre (L) is a common unit but not an SI unit. It equals 1 dm³. The SI unit is m³, and 1 m³ = 1000 L.

How many mL are there in 1 dm³?

1 dm³ = 1 L = 1000 mL = 1000 cm³. All four values describe the same volume.

How many cm³ are in 1 m³?

1 m³ = 1,000,000 cm³ (that is 10⁶ cm³), because 1 m = 100 cm and (100)³ = 1,000,000. Also 1 m³ = 1000 dm³ = 1000 L.

Why is 18 mL of water equal to 18 g?

The density of water is about 1 g/mL. Since 1 mL = 1 cm³, 18 mL of water has a mass of 18 × 1 = 18 g, which is exactly 1 mole of water.