Question

please answer the following

Answer 1

Volume of ogi cube = (side)3=(12)3= 1728
according to given condition volume of  8 cubes = volume of ogi
 cube
volume of 1 new cube = vomume of ogicube/total no of cubes = 1728/8 =216
i.e. volume of one small cube = 216 =(side)3
length of cube = cube root of 216= 6cm



TSA of new cube/ TSA of ogi cube=1/4
 

 

Answer 2

Volume of cube edge=12³=>1728cm

Volume of new cube=x³
Volume of 8 such cube=8x³


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Volume of eight cube=Volume of cube which is cut

8x³=1728
x³=1728/8
x³=216
x=³√216
x=6


Side of new cube =6cm

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Surface area of big cube=>6l²=>6×12²=>864cm²

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Surface area of new cube=6a²=>6×6²=>216cm²


Ratio =864/216=>4:1=>4:1