Final answer:
Rukhsar painted a total of 11 square meters of the cabinet's surface area, covering the sides and the top, but excluding the bottom.
Step-by-step explanation:
The question asks how much surface area Rukhsar painted on a cabinet with dimensions 1m × 2m × 1.5m, excluding the bottom.
To calculate the total surface area painted, we need to find the area of the sides and the top of the cabinet.
- There are two sides that are 1m × 1.5m, so their combined area is 2 × (1m × 1.5m) = 3m².
- There are two sides that are 2m × 1.5m, so their combined area is 2 × (2m × 1.5m) = 6m².
- The top is 1m × 2m, so its area is 1m × 2m = 2m².
Adding these up gives us the total painted surface area: 3m² + 6m² + 2m² = 11m². Therefore, Rukhsar painted 11 square meters of surface area.