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A cubical carton has an edge of 12 cm. By how much does its total surface area exceed its lateral surface area?

Class 8MensurationMensuration
  • A
  • B
  • C
  • D

Step-by-Step Solution

TSA = ; LSA = . Difference = — exactly the two faces (top and bottom) that the LSA leaves out. Trap : counting only ONE missing face. Trap : halving the TSA. Trap : adding 864 and 576 instead of subtracting.
Answer: D)

Key idea: Surface area and volume of a cylinder

A cylinder is a circle stacked vertically. Two measurements: radius and height .

**Curved surface area (CSA) = 2π** (imagine 'unrolling' the curved surface — it becomes a rectangle of width 2π and height h).

**Total surface area (TSA) = 2πππ** (curved surface + two circular ends).

**Volume = π** (area of circular base × height).

Use π = 22/7 when is a multiple of 7; otherwise π ≈ 3.14.

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