Question

A solid cube of side 12 cm is cut into 8 cubes of equal volume. What will be the side of the new cube?

Answer 1

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Answer 2

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