Mathematics
A solid metal cuboid with dimension 10 cm, 11 cm and 8 cm is melted and identical solid spheres, each of radius 1 cm, are formed. The number of sphere formed is :
105
210
315
420
Mensuration
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Answer
Given,
A solid metal cuboid with dimensions 10 cm, 11 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 ×
⇒ 10 × 11 × 8 = n ×
⇒ 880 = n ×
⇒ n =
⇒ n = 10 x 21 = 210.
Hence, option 2 is the correct option.
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