Question : The length of a cuboid is six times its breadth and the height of a cuboid is four times its breadth. If the breadth of the cuboid is 3 cm, then what is the total surface area of the cuboid?
Option 1: 484 cm2
Option 2: 612 cm2
Option 3: 576 cm2
Option 4: 676 cm2
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Correct Answer: 612 cm 2
Solution : Breadth of the cuboid, $b$ = 3 cm Length of a cuboid, $l$ = 6 × $b$ = 6 × 3 = 18 cm Height of a cuboid, $h$ = 4 × $b$ = 4 × 3 = 12 cm Total surface area of a cuboid = $2(lb+bh+hl)$ = 2(3 × 18 + 3 × 12 + 12 × 18) = 2(54 + 36 + 216) = 2 × 306 = 612 Hence, the correct answer is 612 cm 2 .
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Question : The length of a cuboid is 4 cm. If the breadth of the cuboid is four times its length and the height of the cuboid is twice its length, then what is the lateral surface area of the cuboid?
Question : The length of a cuboid is half of its breadth and the height of the cuboid is thrice of its breadth. If the breadth of the cuboid is 12 cm, then what is the total surface area of the cuboid?
Question : The length of a cuboid is 10 cm. If the breadth of the cuboid is half of its length and the height of the cuboid is twice its length, then what is the lateral surface area of the cuboid?
Question : The sum of the length and breadth of a cuboid is 16 cm. If the height of the cuboid is one-fourth of the sum of its length and breadth, then what is the lateral surface area of the cuboid?
Question : Find the total surface area of the cuboid having a length of 23 cm, breadth of 18 cm, and height of 35 cm.
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