1. **State the problem:** Convert a density of 38 grams per cubic centimeter (g/cm³) to pounds per cubic inch (lb/in³). 2. **Formula and conversion factors:** - 1 gram (g) = 0.00220462 pounds (lb) - 1 cubic centimeter (cm³) = 0.0610237 cubic inches (in³) 3. **Set up the conversion:** $$38 \frac{g}{cm^3} \times \frac{0.00220462 \ lb}{1 \ g} \times \frac{1 \ cm^3}{0.0610237 \ in^3}$$ 4. **Calculate step-by-step:** $$= 38 \times 0.00220462 \times \frac{1}{0.0610237} \ \frac{lb}{in^3}$$ 5. **Simplify the fraction:** $$\frac{1}{0.0610237} \approx 16.387$$ 6. **Multiply:** $$38 \times 0.00220462 = 0.083576$$ 7. **Final multiplication:** $$0.083576 \times 16.387 = 1.369$$ 8. **Round to the nearest tenth:** $$1.4 \ \frac{lb}{in^3}$$ **Answer:** $$38 \ \frac{g}{cm^3} = 1.4 \ \frac{lb}{in^3}$$