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.*

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 cm^{3}

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

=

=

So,

Edge of bigger cube = 36 cm

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