Q. 54.0( 4 Votes )

Cubes A, B, C having edges 18 cm, 24 cm and 30 cm respectively are melted and moulded into a new cube D. Find the edge of the bigger cube D.

Answer :

Given,


Edge length of cube A = 18 cm


Edge length of cube B = 24 cm


Edge length of cube C = 30 cm


So,


Volume of cube A = =


Volume of cube B = =


Volume of cube C = =


Total volume of three cubes = 5832 + 13824 + 27000 = 46656 cm3


Let ‘a’ be the length of edge of new cube formed .


=


=


So,


Edge of bigger cube = 36 cm


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