1. **State the problem:** We need to find the volume of a cuboid with side lengths given as $6r^2$, $6p$, and $7q^2$. 2. **Formula for volume of a cuboid:** The volume $V$ is given by the product of its three side lengths: $$V = \text{length} \times \text{width} \times \text{height}$$ 3. **Apply the formula:** Substitute the given side lengths: $$V = (6r^2) \times (6p) \times (7q^2)$$ 4. **Multiply the constants:** $$6 \times 6 \times 7 = 252$$ 5. **Multiply the variables:** $$r^2 \times p \times q^2 = p r^2 q^2$$ 6. **Combine all parts:** $$V = 252 p r^2 q^2$$ 7. **Final answer:** The volume of the cuboid in simplest form is: $$\boxed{252 p r^2 q^2}$$