1. **State the problem:** We need to find the missing dimension $x$ of a rectangular prism given its volume $V = 2736$ cubic inches, and two known dimensions: 24 inches and 1 foot. 2. **Convert units:** Since the volume is in cubic inches, convert 1 foot to inches: $1 \text{ ft} = 12 \text{ in}$. 3. **Write the volume formula:** The volume of a rectangular prism is given by $$V = \text{length} \times \text{width} \times \text{height}$$ Here, $V = 2736$, length = 24 in, width = $x$, height = 12 in. 4. **Set up the equation:** $$2736 = 24 \times x \times 12$$ 5. **Simplify the right side:** $$2736 = 288x$$ 6. **Solve for $x$ by dividing both sides by 288:** $$x = \frac{2736}{288}$$ 7. **Show cancellation:** $$x = \frac{\cancel{2736}}{\cancel{288}} = 9$$ 8. **Final answer:** The missing dimension $x$ is 9 inches. This means the rectangular prism has dimensions 24 in, 9 in, and 12 in (converted from 1 ft).