1. **State the problem:** We have a right rectangular prism with dimensions $?$ (unknown), 8 cm, and 4 cm. The volume is given as 96 cubic centimeters. We need to find the missing dimension. 2. **Formula for volume of a rectangular prism:** $$\text{Volume} = \text{length} \times \text{width} \times \text{height}$$ 3. **Assign known values:** Let the missing dimension be $x$ cm. Known dimensions are 8 cm and 4 cm. 4. **Set up the equation:** $$x \times 8 \times 4 = 96$$ 5. **Simplify the equation:** $$32x = 96$$ 6. **Solve for $x$ by dividing both sides by 32:** $$x = \frac{96}{32}$$ 7. **Show cancellation:** $$x = \frac{\cancel{96}}{\cancel{32}} = 3$$ 8. **Conclusion:** The missing dimension is 3 centimeters.