Find the cube of :
7

Answer

To find the cube of 7, we will follow these steps:

### Step 1: Understand the concept of cube
The cube of a number is found by multiplying that number by itself three times. This can be expressed mathematically as:
\[ \text{Cube of } x = x \times x \times x \]

### Step 2: Set up the expression for the cube of 7
Let’s denote the cube of 7 as \( A \):
\[ A = 7^3 \]
This means:
\[ A = 7 \times 7 \times 7 \]

### Step 3: Calculate \( 7 \times 7 \)
First, we will calculate \( 7 \times 7 \):
\[ 7 \times 7 = 49 \]

### Step 4: Multiply the result by 7
Now, we take the result from the previous step and multiply it by 7:
\[ 49 \times 7 \]

### Step 5: Perform the multiplication
To multiply 49 by 7, we can break it down:
- First, calculate \( 7 \times 9 = 63 \) (write down 3 and carry over 6).
- Next, calculate \( 7 \times 4 = 28 \) and add the carry over (6):
\[ 28 + 6 = 34 \]
So, \( 49 \times 7 = 343 \).

### Step 6: State the final result
Thus, the cube of 7 is:
\[ A = 343 \]

### Final Answer:
The cube of 7 is \( 343 \).

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