Question

Three cubes with sides in the ratio 3:4:5 are melted to form a single cube whose diagonal is
12V3 cm. The sides of the cube respectively are​

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 (3

3

+4

3

+5

3

)x

3

=216x

3

=(6x)

3

.

Then the side of the new cube be 6x.

And its diagonal be 6x

3

cm.

Then according to the problem,

6x

3

=12

3

or, x=2.

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