Find the cube of (i)4 (ii) 6 (iii) 12.

Answer

To find the cubes of the given numbers, we will follow a step-by-step approach for each number.

### Step-by-Step Solution:

**(i) Finding the cube of 4:**
1. Write the expression for the cube of 4:
\[ 4^3 = 4 \times 4 \times 4 \]
2. Calculate \(4 \times 4\):
\[ 4 \times 4 = 16 \]
3. Now multiply the result by 4:
\[ 16 \times 4 = 64 \]
4. Therefore, the cube of 4 is:
\[ 4^3 = 64 \]

**(ii) Finding the cube of 6:**
1. Write the expression for the cube of 6:
\[ 6^3 = 6 \times 6 \times 6 \]
2. Calculate \(6 \times 6\):
\[ 6 \times 6 = 36 \]
3. Now multiply the result by 6:
\[ 36 \times 6 = 216 \]
4. Therefore, the cube of 6 is:
\[ 6^3 = 216 \]

**(iii) Finding the cube of 12:**
1. Write the expression for the cube of 12:
\[ 12^3 = 12 \times 12 \times 12 \]
2. Calculate \(12 \times 12\):
\[ 12 \times 12 = 144 \]
3. Now multiply the result by 12:
\[ 144 \times 12 \]
To calculate \(144 \times 12\), we can break it down:
\[ 144 \times 12 = 144 \times (10 + 2) = 1440 + 288 = 1728 \]
4. Therefore, the cube of 12 is:
\[ 12^3 = 1728 \]

### Final Answers:
- The cube of 4 is **64**.
- The cube of 6 is **216**.
- The cube of 12 is **1728**.