3. \( \frac{1}{3} \times \frac{22}{7} \times(6)^{2} \times 7 \)

To evaluate the expression: \[ \frac{1}{3} \times \frac{22}{7} \times 6^2 \times 7 \] Let's break it down step by step: 1. **Calculate \(6^2\):** \[ 6^2 = 36 \] Now the expression becomes: \[ \frac{1}{3} \times \frac{22}{7} \times 36 \times 7 \] 2. **Simplify the multiplication:** Notice that the \(7\) in the denominator and the \(7\) in the numerator cancel each other out: \[ \frac{22}{7} \times 7 = 22 \] So the expression simplifies to: \[ \frac{1}{3} \times 22 \times 36 \] 3. **Multiply \(22 \times 36\):** \[ 22 \times 36 = 792 \] Now the expression is: \[ \frac{1}{3} \times 792 \] 4. **Final Division:** \[ \frac{792}{3} = 264 \] **Final Answer:** \(264\)