Question

If three metal cubes with length of edges 6 8 and 10 cm are melted to form a single cube then the length of the edge of the new cube is

Answer 1

Solution:

 Given edges of three metal cubes are 3 cm, 4 cm and 5 cm.

Volume of new cube = sum of the volume of three cubes

Let the edge of the new cube be 

Recall that volume of cube  cubic units

Volume of 1st cube 

Volume of 2nd cube 

Volume of 3rd cube 

Volume of new cube 











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Hence the length of edge of new cube is 6 cm.