8.
A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.
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Answer:
volume of the cube if side 12 cm is 12^3 cucm
volume of the new cubes
=12^3/8cucm=12×12×12/2×2×2cucm
=6×6×6cucm=6^3cu cm
side of the new cube = 6 cm
ratio between their surface areas
=12^2 : 6^2
=144 : 36
=4 : 1
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