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What are the dimensions (length, breadth and height, respectively) of a cuboid with volume 720 cu cm, surface area 484 sq cm and the area of the base 72 sq cm ?
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- 9, 8 and 10 cm
- 12, 6 and 10 cm
- 18, 4 and 10 cm
- 30, 2 and 12 cm
Correct Option: A
Volume of the cuboid = 720 cm3
Height of the cuboid = Volume of the cuboid / Base area of the cuboid
= 720 / 72 = 10 cm [By Hit Trail]
Surface area of the cuboid = 2 (lb + bh + hl)
= 2(9 x 8 + 8 x 10 + 10 x 9 )
= 2 (72 + 80 + 90)
= 2 x 242
= 484 cm2
∴ It is obvious that length, breadth and height of the cuboid is 9 cm, 8 cm and 10 cm.
