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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 the side of the new cube? Also, find the ratio between their surface areas.

Text Solution

Verified by Experts

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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