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.
Solution:
Volume of solid cube
Let side of new cube
Volume of new cube
Volume of 8 new cubes
According to given condition, we have volume of 8 new cubes equal to volume of bigger cube.
cm
Surface area of cube
So, ratio of their surface areas
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