If 1 feet = 0.3048 m, then 1 cu feet will be equal to

Options

A. `28316.85 cm^(3)`
B. `28216.75 cm^(3)`
C. `28216.50 cm^(3)`
D. `28312.06 cm^(3)`

Answer

To find out how many cubic feet are equal to cubic meters, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Conversion Factor**:
We know that 1 foot = 0.3048 meters.

2. **Convert Feet to Centimeters**:
Since we want to find the value in cubic centimeters, we first convert feet to centimeters.
We know that 1 meter = 100 centimeters. Therefore,
\[ 1 \text{ foot} = 0.3048 \text{ meters} \times 100 \text{ cm/m} = 30.48 \text{ cm}. \]

3. **Calculate Cubic Feet**:
Now, we need to find the value of 1 cubic foot. To do this, we cube the conversion from feet to centimeters:
\[ 1 \text{ cubic foot} = (30.48 \text{ cm})^3. \]

4. **Perform the Calculation**:
Now we calculate \(30.48^3\):
\[ 30.48 \times 30.48 \times 30.48 = 28,316.846592 \text{ cm}^3. \]
Rounding this to two decimal places gives us approximately \(28,316.85 \text{ cm}^3\).

5. **Conclusion**:
Therefore, 1 cubic foot is approximately equal to \(28,316.85 \text{ cm}^3\).

### Final Answer:
1 cubic foot = 28,316.85 cm³

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