How many cubic centimeters `(cm^(3))` are in a cubic metre `(m^(3))`?

Options

A. `10^(3)`
B. `10^(6)`
C. `10^(9)`
D. `10^(12)`

Answer

To determine how many cubic centimeters are in a cubic meter, we can follow these steps:

### Step 1: Understand the relationship between meters and centimeters
1 meter is equivalent to 100 centimeters.

### Step 2: Convert cubic meters to cubic centimeters
Since we are dealing with cubic measurements, we need to cube the conversion factor:
\[ 1 \, \text{m}^3 = (100 \, \text{cm})^3 \]

### Step 3: Calculate the cube of 100
Calculating \( (100)^3 \):
\[ (100)^3 = 100 \times 100 \times 100 = 1,000,000 \, \text{cm}^3 \]

### Step 4: Express the answer in scientific notation
The value \( 1,000,000 \) can also be expressed in scientific notation:
\[ 1,000,000 = 10^6 \]

### Final Answer
Thus, there are \( 10^6 \) cubic centimeters in a cubic meter:
\[ 1 \, \text{m}^3 = 10^6 \, \text{cm}^3 \]

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