A solid cube of side 12cm is cut into eight cubes of equal volume.the side of new cube and the ratio between the surface are of the two cubes respectively are:
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Volume of solid cube=12*12*12=1728cm^3
It is cut into 8 equal cubes of equal volume,
So, volume of each cube would be 1728/8=216cm^3
So, side of new cube is 6cm.
Surface area of a cube=6*side^2
Surface area of big cube=6*12*12=864cm^2
Surface area of small cube =6*6*6=216cm^2
Ratio=864/216
=4:1
Hope it helps.
Best of luck.
It is cut into 8 equal cubes of equal volume,
So, volume of each cube would be 1728/8=216cm^3
So, side of new cube is 6cm.
Surface area of a cube=6*side^2
Surface area of big cube=6*12*12=864cm^2
Surface area of small cube =6*6*6=216cm^2
Ratio=864/216
=4:1
Hope it helps.
Best of luck.
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