# Three cubes of a metal whose edges are in the ratio 3:4:5 are melted to form a single cube whose diagonal is 15root3 cm.find the edges of the three edges.

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by NajwaMody

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by NajwaMody

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TO FIND ;-

SOL ;-

So now let us first find the volume of cube using its formula -

Now we got the volume of each cube but we need the total volume , so wee need to add all the volume to get the result,,

But we dont know the the edge of the cube , so let us take this as ''y''

Therefore the edge of the cube is 15 units.

So now we can find the value of x,-

⇒ x³ = (3375 / 216)

⇒ x = 15/6 = 5/2 = 2.5

so x is equal to 2.5 unit

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Edges of the cube are -