Three metal cubes whose edge measure 3cm,4cm and 5cm respectively are melted to form a single cube , find its edge.

Three cubes are recast into a bigger cube.

The edges of the cube are 3 cm, 4 cm and 5 cm.

Let the edge of bigger cube be a

So,

Volume of 3 cubes = volume of bigger cube

  • 9

 cube root of ( 33 + 43 + 53) = cube root of ( 27 + 64 + 125) = cube root of ( 216) = 6 cm

  • 0

Total volume of 3 cubes = (33 + 43 + 53 ) cm3= (27 + 64 + 125)cm3 = 216 cm3

Now volume of new cube = 216 cm3

So edge of new cube = cube root of 216 cm3 = 6 cm

  • 6
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