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 cm3
Let ‘a’ be the length of edge of new cube formed .
=
=
So,
Edge of bigger cube = 36 cm