Q 9. A cube of metal whose each edge is 4 cm is melt ed to form a cylindrical wire of the radius 1/11c m. Then the length of the wire formed in cm is?
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Step-by-step explanation:
R.E.F image
Given the edges of cubes are in ratio of =3:4:5
Let the edges be 3x,4x & 5x respectively
Diagonal of new cube formed after melting the 3 cuber =12
3
Let the edge of new cube be y
∴y
3
=12
3
⇒y=12 (from beside diagram)
Volume of 3 cuber = Volume of new cube
⇒(3x)
3
+(4x)
3
+(5x)
3
=(12)
3
⇒x
3
=8⇒x=2
∴ The edger of cuber are 3x=6
4x=8,
5x=10, respectively
AB=BC=CD=DA=y=GF
AC=y
2
=AF
AG
2
=AF
2
+GF
2
⇒AG=y
3
= diagonal
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