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Q.

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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a

16 cm 

b

12 cm 

c

14 cm 

d

18 cm 

answer is B.

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Detailed Solution

 

a 1 =6cm,  a 2 =8cm,  a 3 =10cm

V 1 + V 2 + V 3 =V

⇒ 6 3 + 8 3 + 10 3 = a 3

⇒216+512+1000= a 3

⇒a= 1728 3 =12

∴

Edge of new cube a

=

12cm

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