Six cubes, each of edge 2 cm, are joined end to end. What is the total surface area of the resulting cuboid in cm2?

This question was previously asked in
SSC CGL Previous Paper 61 (Held On: 13 June 2019 Shift 1)
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  1. 144
  2. 96
  3. 128
  4. 104

Answer (Detailed Solution Below)

Option 4 : 104
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Detailed Solution

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Side of each cube = 2 cm

Six cubes are joined end to end, then length of newly formed cuboid = 2 × 6 = 12 cm

Breadth of newly formed cuboid = 2 cm

Height of newly formed cuboid = 2 cm

As we know,

Total surface area of cuboid = 2 (lb + bh + hl)

⇒ 2 (12 × 2 + 2 × 2 + 2 × 12)

⇒ 2 (24 + 4 + 24)

⇒ 2 × 52

⇒ 104 cm2

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