Mathematics
A solid metal cuboid with dimensions 11 cm, 18 cm and 8 cm is melted and identical solid spheres, each of radius 1 cm, are formed. The number of spheres formed is :
378
1134
1512
none of these
Mensuration
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Answer
Given,
A solid metal cuboid with dimensions 11 cm, 18 cm and 8 cm is melted and identical solid spheres, each of radius 1 cm, are formed. Let no. of spheres formed be n.
∴ Volume of metal cuboid = n × Volume of sphere
⇒ l × b × h = n ×
⇒ 11 × 18 × 8 = n ×
⇒ 1584 =
⇒ n = = 378.
Hence, Option 1 is the correct option.
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