The length of a cuboid is thrice of its breadth and the height of cuboid is twice of its breadth. If the breadth of the cuboid is 6 cm. then what is the total surface area of cuboid?

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SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 15 March, 2023 Shift 4)
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  1. 844 cm2
  2. 708 cm2
  3. 762 cm2
  4. 792 cm2

Answer (Detailed Solution Below)

Option 4 : 792 cm2
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Detailed Solution

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Given

Breadth (b) = 6 cm

Length (l) = 3b = 18 cm

Height (h) = 2b = 12 cm

Concept:

The total surface area of a cuboid = 2(lb + bh + hl)

Solution:

Substitute the values into the formula:

2(18 × 6 + 6 × 12 + 12 × 18)

2(108 + 72 + 216) = 792 cm²

Hence, the total surface area of the cuboid is 792 cm².

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