Question: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` 

+ Answer
A 

+ Explanation
Volume of new cube 

`= [6^3 + 8^3 + (10)^3] cu. cm`

`= 1728 cu. cm`.

Let the edge of new cube be a cm.

Then,` a^3 = 1728`

`= (4 xx 4 xx 4 xx 3 xx 3 xx 3)`

`or a = 12 cm`.

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Irin Moni

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