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.
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Answer 1

Given :- A solid cube of side 12 cm is cut into eight cubes of equal volume.

To find :-

What will be the  side of the new cube? Also, the ratio between their surface areas.

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Solution :-

Volume of old cube =a³

⇒(12)³=1728 cm³

No.of cubes =8

Volume of old cube = 8* volume of 1 new cube

=> 1728=8*a³

=> 1728/8=a³

=> 12/2=a

=> a = 6 cm

Surface area of old cube/ surface area of new cube=6*(12)²/6*(6)²

=>  144/36 = 4/1 = 4:1.

Hence, ratio is 4:1.

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Step-by-step explanation:

Answer 2

Answer:

ratio is 4:7.

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