Given:
Sides of cubes = 3 cm, 4 cm and 5 cm
Formula used:
Volume of cube = a3
where, a = side of cube
Solution:
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
Then,
The edge of final cube is 6 cm.
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