The edges of 3 cubes of metal are 3cm, 4cm & 5 cm. they are melted and recasted into a single cube.Find the edges of the new cube.

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Solution

1 cube edge is =3 cm
2 cube edge is =4 cm
3 cube edge is =5 cm
edge of the new cube formed
volume of new cube = volume of all three cubes
volume of cube = s^3
3^3 + 4^3 + 5^3
27 + 64 + 125
=216 cm^3
cube root of 216 = 6
edge of the new cube formed = 6 cm

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