If unit mass of a solid, taken as cube of volume 8 cm3, is powdered into identical 1012 cubes, then the specific surface area of the solid increased by :?

Asked by Shubhi Gupta | 20th Oct, 2015, 06:04: PM

Expert Answer:

 
begin mathsize 12px style therefore space The space surface space area space of space one space small space cube space equals space 24 space cross times space 10 to the power of negative 8 end exponent space cm squared therefore space The space surface space area space of space all space the space cubes space equals space 24 space cross times space 10 to the power of negative 8 end exponent space cross times space 10 to the power of 12 space cm squared space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 24 space cross times space 10 to the power of 4 space cm squared end style
 
 
begin mathsize 12px style Therefore comma space Increace space in space the space surface space area space equals space 24 space cross times space space cross times space 10 to the power of 4 space cm squared space space minus space space 24 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 24 space left parenthesis 10 to the power of 4 space minus space 1 right parenthesis space space space space space space space space space space space space space space space space space space space space space space end style
 
Thus, the specific surface area of the solid gets increased by 104.

Answered by Hanisha Vyas | 23rd Oct, 2015, 07:18: PM