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Option 3 : 6 cm
Given:
Sides of cubes = 3 cm, 4 cm and 5 cm
Concept used:
Volume of single cube = Total volume of three melted cubes
Formula used:
Volume of cube = a3
where, a = side of cube
Calculations:
Volume of single cube = Total volume of three cubes
⇒ a3 = x3 + y3 + z3
⇒ a3 = 33 + 43 + 53
⇒ a3 = 27 + 64 + 125
⇒ a3 = 216
⇒ a = 6 cm
∴ The edge of final cube is 6 cm.
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