1. **State the problem:** We need to find the capacity in millilitres of two containers: a. A rectangular prism with length 15 cm, width 10 cm, and height 14 cm. b. A cylinder with base radius 14.2 cm and height 18 cm. 2. **Formula for volume:** - Volume of a rectangular prism: $$V = l \times w \times h$$ - Volume of a cylinder: $$V = \pi r^2 h$$ 3. **Important note:** 1 cubic centimetre (cm³) is equal to 1 millilitre (mL), so volume in cm³ directly gives capacity in mL. 4. **Calculate volume of the prism:** $$V = 15 \times 10 \times 14 = 2100\ \text{cm}^3 = 2100\ \text{mL}$$ 5. **Calculate volume of the cylinder:** $$V = \pi \times (14.2)^2 \times 18$$ First, square the radius: $$14.2^2 = 201.64$$ Then multiply: $$V = \pi \times 201.64 \times 18$$ $$V = \pi \times 3629.52$$ $$V \approx 3.1416 \times 3629.52 = 11405.3\ \text{cm}^3 = 11405.3\ \text{mL}$$ 6. **Final answers:** - Prism capacity: **2100 mL** - Cylinder capacity: **11405.3 mL** 7. **Additional info on irregular solid volume:** If a solid displaces 150 mL of water, its volume is 150 cm³ or 150 mL.