1. **State the problem:** We have a rectangular prism with dimensions 3 cm, 2 cm, and 10 cm. We want to find the volume if all dimensions are converted to inches. 2. **Formula for volume of a rectangular prism:** $$V = \text{length} \times \text{width} \times \text{height}$$ 3. **Convert centimeters to inches:** Since 1 inch = 2.54 cm, each dimension in inches is: $$\text{length} = \frac{10}{2.54}$$ $$\text{width} = \frac{2}{2.54}$$ $$\text{height} = \frac{3}{2.54}$$ 4. **Calculate the volume in inches:** $$V = \frac{10}{2.54} \times \frac{2}{2.54} \times \frac{3}{2.54} = \frac{10 \times 2 \times 3}{2.54^3}$$ 5. **Simplify numerator and denominator:** $$V = \frac{60}{2.54^3}$$ 6. **Calculate $2.54^3$:** $$2.54^3 = 2.54 \times 2.54 \times 2.54 = 16.387064$$ 7. **Final volume:** $$V = \frac{60}{16.387064} \approx 3.66$$ **Answer:** The volume of the rectangular prism in cubic inches is approximately **3.66** cubic inches.