Ask Question
24 December, 09:25

A box has a bottom with one edge 8 times as long as the other. if the box has no top and the volume is fixed at v, what dimensions minimize the surface area?

+1
Answers (1)
  1. 24 December, 11:44
    0
    height: h=V/w / (9w) = V / (9w^2)

    surface area: w*9w + h * (20w) = 9w^2 + 20wV / (9w^2) = 9w^2 + 20/9 V/w

    minimum at:

    w = cube root of (10/81 V)

    dimensions:

    w, 9w, V / (9w^2)
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A box has a bottom with one edge 8 times as long as the other. if the box has no top and the volume is fixed at v, what dimensions minimize ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers