Three cubes, whose edges are x cm, 8 cm and 10 cm respectively, are melted and recasted into a single cube of edge 12 cm. Find 'x'.
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Volume of a cube = (side)^3
Volumes of a three smaller cubes = Volume of larger cube
x^3 + (8)^3 + (10)^3 = (12)^3
x^3 + 512 + 1000 = 1728
x^3 = 1728 - 1512
x^3 = 216
x = 6
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Hence the value of x is 6cm
Volumes of a three smaller cubes = Volume of larger cube
x^3 + (8)^3 + (10)^3 = (12)^3
x^3 + 512 + 1000 = 1728
x^3 = 1728 - 1512
x^3 = 216
x = 6
---------------------------------
Hence the value of x is 6cm
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