Mathematics
The length and the breadth of a cuboid are 60 cm and 50 cm respectively. If the total surface area of the cuboid is 14800 cm2, then its height is :
40 cm
32 cm
25 cm
30 cm
Mensuration
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Answer
Given,
Length = 60 cm
Breadth = 50 cm
Total surface area = 14800 cm2.
By formula,
Total surface area of cuboid = 2(lb + bh + hl)
⇒ 14800 = 2(60 × 50 + 50 × h + h × 60)
⇒ 14800 = 2(3000 + 50h + 60h)
⇒ 3000 + 50h + 60h =
⇒ 3000 + 110h = 7400
⇒ 110h = 7400 - 3000
⇒ 110h = 4400
⇒ h = = 40 cm.
Hence, option 1 is the correct option.
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