Surface of cubes

Peter molded a cuboid 2 cm, 4cm, 9cm of plasticine. Then the plasticine split into two parts in a ratio 1:8. From each piece made a cube. In what ratio are the surfaces of these cubes?

Correct result:

p =  1:4

Solution:

V=2 4 9=72 cm3 V1=11+8 V=11+8 72=8 cm3 V2=81+8 V=81+8 72=64 cm3  a1=V13=83=2 cm a2=V23=643=4 cm  S1=6 a12=6 22=24 cm S2=6 a22=6 42=96 cm p=S1/S2=24/96=14=0.25=1:4



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