A solid cube of side 12 cm is cut into 8 cubes of equal volume. What will be the side of the new cube?
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Side 12cm
⇒Volume of cube =12×12×12=1728cm³
⇒Volume of smaller cube
= 1/8 of 1728= 216cm³
⇒Let side be S.
∴ (S)³ = 216
⇒S=6 cm
Ratio of SA of cubes
= SA of bigger cube / SA of smaller cube
= (12/6)² = 1/4
∴ Ratio between their surface areas 4:1
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