Question

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

Answer 1

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