Three cubes

Two cube-shaped boxes with edges a = 70 cm; b = 90 cm must be replaced by one cube-shaped box. What will be its edge?

Correct result:

c =  102.3446 cm

Solution:

a=70 cm b=90 cm  V1=a3=703=343000 cm3 V2=b3=903=729000 cm3  V=V1+V2=343000+729000=1072000 cm3  V=c3  c=V3=10720003=102.3446 cm

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