A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube?
Side 12cm
⇒Volume of cube =12×12×12=1728cm3
⇒Volume of smaller cube
=81 of 1728
=81×1728=216cm3
⇒Let side be S.
∴ (S)3=216
⇒S=6 cm
=SA of smaller cubeSA of bigger cube
=(612)2=122=14
∴ Ratio between their surface areas 4:1
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A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube?
Verified answer
Given:
Side 12cm
⇒Volume of cube =12×12×12=1728cm3
⇒Volume of smaller cube
=81 of 1728
=81×1728=216cm3
⇒Let side be S.
∴ (S)3=216
⇒S=6 cm
Ratio of SA of cubes
=SA of smaller cubeSA of bigger cube
=(612)2=122=14
∴ Ratio between their surface areas 4:1