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October 23, 2014

October 23, 2014

Posted by **Kayla** on Sunday, November 13, 2011 at 3:36pm.

Length of base = ?

Height of side z = ?

- Calculus -
**Damon**, Sunday, November 13, 2011 at 4:51pmside of top and bottom = x

height = y

area of top and bottom together= 2 x^2

cost of top and bottom together = 4 x^2

area of sides = 4 x y

cost of sides = 28 x y

Total cost c = 4 x^2 + 28 x y

Volume = x^2 y = 30

so y = 30/x^2

c = 4 x^2 + 28 x (30/x^2)

c = 4 x^2 + 840/x

dc/dx = 0 for min or max

0 = 8 x - 840/x^2

x = 105/x^2

x^3 = 105

x = 4.72

then

y = 30/x^2 = 1.35

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