Monday

September 1, 2014

September 1, 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

**Answer this Question**

**Related Questions**

calculus - A box is constructed out of two different types of metal. The metal ...

calculus - A box is contructed out of two different types of metal. The metal ...

calculus - A box is constructed out of two different types of metal. The metal ...

Calculus - dimensions of a box? - A rectangular box with a square bottom and a ...

Calculus - A rectangular box is to have a square base and a volume of 20 ft3. If...

Calculus - A right cicular cylindrical can is to be constructed to have a volume...

Calc - A closed box with a square base is to be constructed so that its volume ...

Calculus - A rectangular box with a square base and top is to be made to contain...

math-optimal diameterand height - A cylindrical oil-storage tank is to be ...

math - A right cicular cylindrical can is to be constructed to have a volume of ...