1 `m^(3)`=____`cm^(3)` .

Options

A. `10^(6)`
B. `10^(8)`
C. `10^(10)`
D. `10^(12)`

Answer

To solve the problem of converting 1 cubic meter (m³) into cubic centimeters (cm³), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Conversion Factor**:
We know that 1 meter (m) is equal to 100 centimeters (cm).

2. **Convert Cubic Meters to Square Meters**:
Since we are dealing with volume (cubic measurements), we need to square the conversion factor for meters to centimeters.
\[ 1 \, \text{m}^2 = (100 \, \text{cm}) \times (100 \, \text{cm}) = 10,000 \, \text{cm}^2 = 10^4 \, \text{cm}^2 \]

3. **Convert Cubic Meters to Cubic Centimeters**:
Now, we need to multiply by another 100 cm to convert from square meters to cubic meters:
\[ 1 \, \text{m}^3 = 1 \, \text{m}^2 \times 1 \, \text{m} = (10^4 \, \text{cm}^2) \times (100 \, \text{cm}) = 10^4 \, \text{cm}^2 \times 10^2 \, \text{cm} = 10^{6} \, \text{cm}^3 \]

4. **Final Result**:
Therefore, we conclude that:
\[ 1 \, \text{m}^3 = 10^6 \, \text{cm}^3 \]

### Answer:
1 m³ = 1,000,000 cm³ or 10^6 cm³.

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