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A rectangular pit 8 m long, 5 m wide and 2 m deep is dug for a foundation. Digging costs ₹35 per cubic metre. Find the total cost.

Class 8MensurationMensuration
  • A₹4,620
  • B₹1,400
  • C₹800
  • D₹2,800

Step-by-Step Solution

Digging is charged by VOLUME: . Cost = = ₹2,800. Trap ₹4,620: using the surface area — an area rate, when the rate given is per cubic metre. Trap ₹1,400: halving the volume. Trap ₹800: multiplying the volume by 10 instead of 35.
Answer: D) ₹2,800

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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