The edges of three solid cubes are 6cm, 8cm and 10cm. These cubes are melted and recasted into a single cube. Find the edge of the resulting cube.

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Solution

Vol of new cube = vol of cube I + vol. of cube II + vol. of cube III

a³= (6 * 6 * 6) + (8 * 8 * 8) + (101010)

a³= 1728
a = (1728)⅓
a= 12 cm

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