1. **State the problem:** We need to find the total volume of a figure made of two types of rectangular prisms. 2. **Given dimensions:** - Prism type 1: $3 \times 6 \times 14$ inches - Prism type 2: $15 \times 5 \times 10$ inches 3. **Formula for volume of a rectangular prism:** $$\text{Volume} = \text{length} \times \text{width} \times \text{height}$$ 4. **Calculate volume of prism type 1:** $$3 \times 6 \times 14 = 18 \times 14 = 252$$ cubic inches 5. **Calculate volume of prism type 2:** $$15 \times 5 \times 10 = 75 \times 10 = 750$$ cubic inches 6. **Total volume:** $$252 + 750 = 1002$$ cubic inches --- 7. **State the problem:** The combined volume of two identical cubes is 250 cubic centimeters. Find the edge length of one cube. 8. **Formula for volume of a cube:** $$V = s^3$$ where $s$ is the edge length. 9. **Combined volume of two cubes:** $$2s^3 = 250$$ 10. **Solve for $s^3$:** $$s^3 = \frac{250}{2} = 125$$ 11. **Find $s$ by taking cube root:** $$s = \sqrt[3]{125} = 5$$ centimeters **Final answers:** - Total volume of the figure: $1002$ cubic inches - Edge length of one cube: $5$ centimeters