1. **Problem statement:** Find the volume of each prism given the dimensions and formulas. 2. **Part a:** Cube with side length 11 cm. Volume formula: $$V = \text{side}^3 = 11 \times 11 \times 11$$ Calculate: $$V = 1331\ \text{cm}^3$$ 3. **Part b:** Rectangular prism with dimensions 18 cm, 18 cm, and 9 cm. Volume formula: $$V = B \times L \times H = 18 \times 18 \times 9$$ Calculate: $$V = 2916\ \text{cm}^3$$ 4. **Part c:** Triangular prism with base 5 cm, height 12 cm, and length 29 cm. Volume formula: $$V = \frac{B \times H \times L}{2} = \frac{5 \times 12 \times 29}{2}$$ Calculate numerator: $$5 \times 12 = 60$$ $$60 \times 29 = 1740$$ Divide by 2: $$V = \frac{1740}{2} = 870\ \text{cm}^3$$ 5. **Part d:** Same as part c, so volume is also: $$870\ \text{cm}^3$$ 6. **Part e:** Same formula and values as part c and d, so volume is: $$870\ \text{cm}^3$$ 7. **Additional calculation in part e:** Given $$X \times 15 \times 3 = 495$$ Solve for $$X$$: $$X = \frac{495}{15 \times 3} = \frac{495}{45} = 11$$ Then volume formula: $$V = \frac{X \times 15 \times 3}{2} = \frac{495}{2} = 247.5\ \text{cm}^3$$ 8. **Part f:** Same as part c, d, e for the triangular prism volume: $$V = 870\ \text{cm}^3$$ **Final answers:** - a: 1331 cm³ - b: 2916 cm³ - c: 870 cm³ - d: 870 cm³ - e: 247.5 cm³ (using X=11) - f: 870 cm³