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volume of cube=s^3
ratio of sides of cubes=3:4:5
side length of first cube=3x(s1)
then volume=(3x)^3=27x^3(v1)
side length of second cube=4x(s2)
then volume=(4x)^3=64x^3(v2)
side length of third cube=5x
then volume =(5x)^3=125x^3(v3)
sum of volumes of cubes=216×4096cm^3
v1+v2+v3=216×4096
27x^3+64x^3+125x^3=216×4096
216x^3=216×4096
x^3=4096
x=3√4096
x=16
side length of thirf cube=5x
5x=5×16
=80cm
side length of large cube is 80cm.
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