Question

A solid cube size 12cm is cut into eigth cubes of equal volume what will side of new cube? Also find tha ratio between their surface area

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Answer 1

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.

Solution

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

Step-by-step explanation:

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