Painted Area
1. **State the problem:** Lee wants to paint the front face and top face of a cuboid. The front face measures 54 cm by 32 cm, and the top face measures 32 cm by 28 cm. The paint colors are in the ratio 5 : 3 : 2 (yellow : green : white). We need to find the area painted yellow.
2. **Calculate the area of the front face:**
$$\text{Area}_{front} = 54 \times 32 = 1728\ \text{cm}^2$$
3. **Calculate the area of the top face:**
$$\text{Area}_{top} = 32 \times 28 = 896\ \text{cm}^2$$
4. **Calculate the total painted area:**
$$\text{Total area} = 1728 + 896 = 2624\ \text{cm}^2$$
5. **Calculate the total parts in the ratio:**
$$5 + 3 + 2 = 10\ \text{parts}$$
6. **Calculate the area painted yellow (5 parts out of 10):**
$$\text{Yellow area} = \frac{5}{10} \times 2624 = 0.5 \times 2624 = 1312\ \text{cm}^2$$
**Final answer:** The area painted yellow is **1312 cm²**.