Question

three cubes of iron whose edges are 6cm 8cm and 10cm respectively are melted and form into a single cube the edges of a new cube is

Answer 1

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Answer 2

Answer : 12 cm

Solution :
_________

Let, the side of new cube = a cm.

Given that : Three cubes of iron whose edges are 6 cm, 8 cm and 10 cm respectively.

As we know that : Volume of cube = a³

Now, according to the question :

${(6)}^{3} + ( {8})^{3} + ( {10})^{3} = {(a)}^{3} \\ \\ = > {a}^{3} = 216 + 512 + 1000 \\ \\ = > {a}^{3} = 1728 \\ \\ = > a = 12 \: cm$

So, the edges of new cube will be 12 cm.