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Three metal cubes with edges 6 cm, 8 cm and 12 cm respectively are melted down and made into a single cube. Find the length of one edge of the resulting cube.

Respuesta :

tramserran

Answer:  13.5

Step-by-step explanation:

Find the total volume of the melted cubes:

V₁ = 6³                V₂ = 8³                 V₃ = 12³

    = 216                   = 512                    = 1728

So the new cube will have a volume of 216 + 512 + 1728 = 2456

Volume of the cube = side³

 2456 = s³

[tex]\sqrt[3]{2456} = s[/tex]

    13.5 = s

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