Question : The length of a cuboid is thrice of its breadth and the height of a cuboid is twice its breadth. If the breadth of the cuboid is 6 cm, then what is the total surface area of the cuboid?
Option 1: 844 cm2
Option 2: 708 cm2
Option 3: 762 cm2
Option 4: 792 cm2
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Correct Answer: 792 cm 2
Solution :
Given, Breadth ($b$) = 6 cm
⇒ Length ($l$) = 3b = 18 cm
⇒ Height ($h$) = 2b = 12 cm
$\therefore$ Total surface area = $2(lb+bh+hl)$
Substituting the values, we get,
⇒ Total surface area = 2(18 × 6 + 6 × 12 + 12 × 18)
= 2(108 + 72 + 216)
= 792 cm
2
Hence, the correct answer is 792 cm
2
.
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