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in Surface Areas And Volumes by (29.9k points)
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Three cubes of iron whose edges are 6 cm, 8 cm and 10 cm respectively are melted and formed into a single cube. The edge of the new cube formed is 

A. 12 cm 

B. 14 cm 

C. 16 cm 

D. 18 cm

1 Answer

+1 vote
by (30.3k points)
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Best answer

We know that, 

Volume of cube = a3 

Total Volume of cube = 63 + 83 + 103 

= 216 + 512 + 1000 

= 1728 cm3 

Therefore, 

Edge of the new cube = \(\sqrt[3]{1728}\)

= 12 cm 

Hence, option A is correct

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