1. **State the problem:** Find the value of $q^2$ when $q=6$. 2. **Formula used:** The square of a number $q$ is given by $$q^2 = q \times q$$. 3. **Substitute the value:** Replace $q$ with 6: $$q^2 = 6^2$$ 4. **Calculate:** $$6^2 = 6 \times 6 = 36$$ 5. **Final answer:** The value of $q^2$ when $q=6$ is **36**.