Question

the edges of three cubes of metals are 3cm,4cm and 5cm.They are melted and formed into a single cube.Find the edge of the new cube.

Answer 1

Hey mate..
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Given,

The edges of three cubes of metals are 3cm, 4 cm and 5cm.

Let each edge of cube be a' , a" and a''' respectively.

So, We have,

a' = 3cm

a" = 4 cm

a''' = 5cm

We know,

Volume of a cube = ( side ) ^3

Therefore,

( a' )^3 = (3) ^3 = 27 cm ^3

( a" )^3 = (4) ^3 = 64 cm^3

( a''' )^3 = (5) ^3 = 125 cm^3

Let , the edge of the new cube be A

A/Q,

27 + 64 + 125 = A^3

=> 216 = A^3

$= > 3 \sqrt{216}$ =A

=> 6 = A

Thus,

The edge of the new cube is 6 cm

Answer 2

Hey !!
Check the attachment.
Hope it helps :)