Three cubes of metal whose edges are 6 cm 8 cm and 10 cm respectively are melted and a single cube is formed What is the length (in cm) of the diagonal of the newly formed cube?
A
10
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B
3√10
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C
12√2
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D
10√2
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Solution
The correct option is C12√2 Three cubes of metal whose edges are 6 cm 8 cm and 10 cm respectively are melted
Then volume of first cube =(6)3=216cm3
And volume of second cube =(8)3=512cm3
And volume of first cube =(10)3=1000cm3
Then volume of cube made by melted three cube=216+512+1000=1728