Answer :

To find the total surface area of the new cube formed we first need to find its edge


Volume of cube = (edge)3


Volume of cube with edge 8 cm = 83 = 512 cm3


Volume of cube with edge 6 cm = 63 = 216 cm3


Volume of cube with edge 1 cm = 13 = 1 cm3


Let the edge of new cube formed be ‘a’


Volume of new cube = a3


As the three cubes are melted and the new cube is formed


Volume of new cube = volume of all the three cubes


a3 = 512 + 216 + 1


a3 = 729


a = 9


Surface area of cube = 6 × (edge)2


surface area of new cube = 6 × a2


= 6 × 92


= 6 × 81


= 486 cm2


Therefore, surface area of new cube is 486 cm2


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