The side of a cube is 12 cm. Volume of cube is

Options

A. `144 m^3`
B. `1008 m^3`
C. `1728 m^3`
D. None of these

Answer

To find the volume of a cube when the side length is given, we can use the formula for the volume of a cube:

**Step 1:** Write down the formula for the volume of a cube.
\[ \text{Volume} = \text{side}^3 \]

**Step 2:** Substitute the given side length into the formula.
Here, the side length \( a = 12 \, \text{cm} \).
\[ \text{Volume} = 12^3 \]

**Step 3:** Calculate \( 12^3 \).
\[ 12^3 = 12 \times 12 \times 12 \]

**Step 4:** Calculate \( 12 \times 12 \).
\[ 12 \times 12 = 144 \]

**Step 5:** Multiply the result by 12 again.
\[ 144 \times 12 = 1728 \]

**Step 6:** Write the final answer with the appropriate unit.
\[ \text{Volume} = 1728 \, \text{cm}^3 \]

Thus, the volume of the cube is \( 1728 \, \text{cm}^3 \).

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