One litre is equal to :

Options

A. `1cm^3`
B. `1m^3 `
C. `10^(-3) cm^3 `
D. `10^(-3) m^3`

Answer

To solve the question "One litre is equal to:", we will analyze the options provided and determine the correct equivalence of one litre in terms of cubic measurements.

### Step-by-Step Solution:

**Step 1: Understand the definition of a litre.**
- One litre is a unit of volume commonly used in the metric system.

**Step 2: Convert litres to cubic centimetres.**
- We know that 1 litre is defined as 1000 cubic centimetres (cm³).

\[ 1 \text{ litre} = 1000 \text{ cm}^3 \]

**Step 3: Convert litres to cubic metres.**
- We also know that 1 cubic metre (m³) is equal to 1,000,000 cubic centimetres (cm³).
- Therefore, to convert litres to cubic metres, we can use the relationship:

\[ 1 \text{ litre} = \frac{1000 \text{ cm}^3}{1000000 \text{ cm}^3/\text{m}^3} = 0.001 \text{ m}^3 \]

- This can also be expressed as:

\[ 1 \text{ litre} = 10^{-3} \text{ m}^3 \]

**Step 4: Compare with the given options.**
- Now, let's compare our findings with the options:
- Option A: 1 cm³ (incorrect)
- Option B: 1 m³ (incorrect)
- Option C: \(10^{-3}\) cm³ (incorrect)
- Option D: \(10^{-3}\) m³ (correct)

**Step 5: Conclusion.**
- Based on our calculations, the correct answer is:

\[ \text{One litre is equal to } 10^{-3} \text{ m}^3. \]

### Final Answer:
**Option D: \(10^{-3}\) m³**

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