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carolinecooper carolinecooper
  • 11-07-2016
  • Mathematics
Answered

Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 121.5 square centimeters.

Verified Answer :

Jadethellamakid89
Jadethellamakid89 Jadethellamakid89
  • 14-07-2016

volume = (a^2)h = (a^2)(i-a^2)/4a 

= a(i-a^2)/4 
differentiating volume w.r.t a ie dV/da=0 
we get a=sqrt(i/3) 

substituting i=541.3 in above equation we can get the answer
if this helps 

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