1. The problem is to evaluate the cube of 6, which is written as $6^3$. 2. The formula for calculating the cube of a number $a$ is $$a^3 = a \times a \times a$$. 3. Applying this formula to 6, we get $$6^3 = 6 \times 6 \times 6$$. 4. First, multiply the first two 6s: $$6 \times 6 = 36$$. 5. Then multiply the result by the last 6: $$36 \times 6 = 216$$. 6. Therefore, the value of $6^3$ is 216.