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A solid cube of side 12 cm is cut into e...

A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be theside of the new cube? Also, find the ratio between their surface areas.

Text Solution

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Vs=8Vc
`a^3=(Vs)/8`
`a^3=(12/2)^2`
`a=6`
Ratio=(surface area of small cubes)/(Surface area of cube)
=`(6A^2s)/(6A^2c)=(12/6)^2=4`
=`4:1`
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