What approximate value should come in place of question mark (?) in the following questions? (You are not expected to calculate the exact value.)
`((8.07)^3-(3.93)^3)/(4.06)^2=?xx7.02`

Options

A. 18
B. 11
C. 4
D. 7

Answer

To solve the problem step by step, we need to simplify the expression given in the question:

\[ \frac{(8.07)^3 - (3.93)^3}{(4.06)^2} = ? \times 7.02 \]

### Step 1: Approximate the values
First, we can approximate the numbers involved:
- \(8.07 \approx 8\)
- \(3.93 \approx 4\)
- \(4.06 \approx 4\)

### Step 2: Calculate the cubes
Now, we can calculate the cubes of the approximated values:
- \( (8)^3 = 512 \)
- \( (4)^3 = 64 \)

### Step 3: Subtract the cubes
Next, we subtract the cubes:
\[ 512 - 64 = 448 \]

### Step 4: Calculate the square
Now, we calculate the square of the approximated value:
\[ (4)^2 = 16 \]

### Step 5: Set up the equation
Now we substitute these values back into the equation:
\[ \frac{448}{16} = ? \times 7.02 \]

### Step 6: Simplify the left side
Now, we simplify the left side:
\[ \frac{448}{16} = 28 \]

### Step 7: Solve for ?
Now we have:
\[ 28 = ? \times 7.02 \]

### Step 8: Isolate ?
To find the value of ?, we divide both sides by 7.02:
\[ ? = \frac{28}{7.02} \]

### Step 9: Approximate the division
We can approximate \(7.02\) to \(7\) for simplicity:
\[ ? \approx \frac{28}{7} = 4 \]

### Conclusion
Thus, the approximate value that should come in place of the question mark (?) is:
\[ \boxed{4} \]