Question

three cubes of metal whose edges are in ratio 3 ratio 4 ratio 5 are melted down into a single cube whose diagonal is 12 root 3 cm find the edge of three cube​

Answer 1

Answer:

6, 8 and 10 cm respectively.

Step-by-step explanation:

Let the edge of the cubes be 3x, 4x and 5x.

And the edge of the cube after melting = a.

So, As we know diagonal of a cube =a* root3

So, a*root3  = 12 root3 ==> a=12cm.

Now, Sum of the volume of three cubes = volume of the Cube after melting.

So, (3x)³+(4x)³+(5x)³ = 12³

=> 27x³ + 64x³+ 125x³ = 12³

=> 216x³ = 12³

=> (6x)³=12³ ===> 6x=12 ==> x = 2.

Now, put the value of x in 3x, 4x and 5x:

=> 3x = 6

=>4x = 8

=>5x = 10

Answer 2

Answer:

hey mate kindly see the attachment please

Step-by-step explanation:

mark it as brainlist please