Final answer:
Rukhsar painted a total surface area of 11 square meters on a cabinet measuring 1m×2m×1.5m, excluding the bottom.
Step-by-step explanation:
The student asked how much surface area Rukhsar covered when she painted all except the bottom of a cabinet measuring 1m×2m×1.5m.
To find the surface area that Rukhsar painted, we need to calculate the area of all the sides of the cuboid-shaped cabinet, excluding the bottom.
The cabinet has 6 sides in total: top, bottom, front, back, and two sides.
The front and back both have an area of 1m × 1.5m, the two sides both have an area of 2m × 1.5m, and the top has an area of 1m × 2m.
The bottom is not painted and thus is not included in our calculation.
Adding the areas of these five sides, we get:
2(1 × 1.5) + 2(2 × 1.5) + (1 × 2), which results in a total painted surface area of 11 square meters.