Question

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​

Answer 1

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Maths

Surface Areas and Volumes

Surface Area of Cubes and Cuboids

A solid cube of side 12 cm ...

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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? Also, find the ratio between their surface areas.

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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