A solid cube of side 12cm is cut into eight cubes of equal volume. wat will be the side of the new cube also . find the ratio between thier surface areas (surface area of 8new cubes and the original cube)?>
Side (a) of cube = 12 cm
Volume of cube = (a)3 = (12 cm)3 = 1728 cm3
Let the side of the smaller cube be a1.
Volume of 1 smaller cube
⇒ a1 = 6 cm
Therefore, the side of the smaller cubes will be 6 cm.
Ratio between surface areas of cubes
Therefore, the ratio between the surface areas of these cubes is 4:1.
Hope this helps!
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edge of cube=12cm
Volume of cube=axaxa
Then it is cut into 8 equal sides therefore smaller cube =1728/8
volume of cube =axaxa
surface area of smaller cube =6(a)sq
surface area of bigger cube =6X(12)sq
Ratio b/w their surface areas=216:864