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
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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