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A room is 8 m long, 6 m wide and 3.5 m high. Its four walls and its ceiling are to be whitewashed, except for a door and windows of total area . Find the area to be whitewashed.

Class 8MensurationMensuration
  • A
  • B
  • C
  • D

Step-by-Step Solution

Walls = . Ceiling = . Together ; subtract the of door and windows: . Trap : forgetting to subtract the openings. Trap : the four walls only, leaving out the ceiling. Trap : subtracting the but still omitting the ceiling.
Answer: A)

Key idea: Surface area of a cuboid

A cuboid has 3 pairs of identical opposite faces. Their total area:

- 2 faces of (top + bottom)
- 2 faces of (front + back)
- 2 faces of (left + right)

**TSA of cuboid = .**
**LSA of cuboid = ** — only the four side walls, used for room painting (not floor/ceiling).

Special case (cube, ): TSA = , LSA = .

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