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A solid cube of side 12 …

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A solid cube of side 12 cm cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surfaces area.

Posted by Aryan Kumar 5 years ago

CBSE > Class 09 > Mathematics

1 answers

Murari Sah 5 years ago

Given side of solid cube = 12cm Volume of big cube = A^3 = (12)^3= 1728cm^3. The cube cut into eight eqaul volume cubes. Volume of 8 cubes=1728cm^3 Volume of 1small cube=1728/8=216cm^3 Now, volume of small cube=(a)^3=216 a=6cm. Surface area of big cube (S1)=6A^2=6x12^2=864cm^2. Now surface area of small cube (S2)=6a^2=6x6^2=216cm^2. Now S1/S2=864/216=4/1=4:1

1Thank You

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CBSE > Class 09 > Mathematics