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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