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A hall is 12 m long, 9 m wide and 4 m high. Painting only its four walls costs ₹22 per square metre. Find the total cost of painting.

Class 8MensurationMensuration
  • A₹8,448
  • B₹3,696
  • C₹6,072
  • D₹1,848

Step-by-Step Solution

Four walls → LSA = . Cost = = ₹3,696. Trap ₹8,448: using the TSA , which wrongly includes the floor and ceiling. Trap ₹6,072: adding the ceiling . Trap ₹1,848: halving the LSA.
Answer: B) ₹3,696

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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