Question

5. If three cubes of metal whose edges are in the ratio 3: 4:5 are melted and recasted into
a single cube of diagonal 12 root 2
cm, then find the edges of the three cubes. ( whose don't know the answer please do not write
thank you). ​

Answer 1

Answer:

Let the sides of the metallic cube be 3x,4x,5x.

Now according to the problem, these cubes are melt to form a new cube.

Then the volume of the new cube be (33+43+53)x3=216x3=(6x)3.

Then the side of the new cube be 6x.

And its diagonal be 6x3

​ cm.

Then according to the problem,

6x3

​=123

​

or, x=2.

Then edge of the three cubes be 6,8,10 respectively.

Step-by-step explanation:

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