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If three cubes of iron whose edges are 6cm, 8cm and 10cm respectively are melted and formed into a single cube. then the edge of the new cube formed is

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16 cm

12 cm

14 cm

18 cm

answer is B.

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Detailed Solution

$a 1 = 6 c m, a 2 = 8 c m, a 3 = 10 c m$

$V 1 + V 2 + V 3 = V$

$⇒ 63 + 83 + 103 = a 3$

$⇒ 216 + 512 + 1000 = a 3$

$⇒ a = 17283 = 12$

$∴$

Edge of new cube a

$=$

12cm

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