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Assertion (A): To paint only the four walls of a room, we use the lateral surface area of a cuboid.
Reason (R): The lateral surface area of a cuboid includes the floor and the ceiling.
Which is correct?

Class 8MensurationMensuration
  • ABoth A and R are true and R explains A.
  • BBoth A and R are true but R does not explain A.
  • CA is true but R is false.
  • DA is false but R is true.

Step-by-Step Solution

Painting four walls uses LSA, so A is true. But LSA = 2h(l + b) covers only the side walls and EXCLUDES the floor and ceiling, so R is false.
Answer: C) A is true but R is false.

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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