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Three cubes of iron of sides 6 cms., 8 cm and 10 cm are melted and then converted into a single big cube what would be the side of this new cube ?
  • a)
    13 cm
  • b)
    12 cm
  • c)
    14 cm
  • d)
    18 cm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Three cubes of iron of sides 6 cms., 8 cm and 10 cm are melted and the...
Let x be a side of newly formed cube after melting the three cubes.
x3 = (63 + 83 + 103) cm3
= (216 + 512+ 1000) cm3
= 1728 cm3
= 123 cm3
∴ x = 12 cm
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Three cubes of iron of sides 6 cms., 8 cm and 10 cm are melted and then converted into a single big cube what would be the side of this new cube ?a)13 cmb)12 cmc)14 cmd)18 cmCorrect answer is option 'B'. Can you explain this answer?
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