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A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of the two smaller cubes are 6 cm and 8 cm, find the edge of the third smaller cube. Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

Given details are,

Edge of metal cube (volume) = 12cm

Edge of smaller two cubes = 6cm, 8cm

Let edge of third cube be ‘a’ cm

So,

Volume of metal cube = sum of volume of three small cubes 123 = 63 + 83 + a3

1728 = 216 + 512 + a3

a3 = 1728 – 216 – 512

= 1000 a = 3√1000

= 10cm

∴ Edge of third smaller cube is 10cm.

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