Friday

July 25, 2014

July 25, 2014

Posted by **Caitlin** on Tuesday, June 5, 2012 at 8:53pm.

- Calc -
**Damon**, Tuesday, June 5, 2012 at 9:01pmtop and bottom are w by w

height is h

324 = w^2 h so h = 324/w^2

Cost = 6 w^2 + 4 w h

= 6 w^2 + 4 w (324/w^2)

= 6 w^2 + 1296/w

dC/dw = 0 for min = 12 w -1296/w^2

0 = 12 w^3 - 1296

w^3 = 108

w = 4.76

h = 14.3

- Calc -
**Caitlin**, Tuesday, June 5, 2012 at 9:10pmAre you sure about the 4w (324/w^2)?

Shouldn't it be 8w (324/w^2), since you are multiplying the four sides by the cost of $2 per square foot?

- Calc -
**MathMate**, Tuesday, June 5, 2012 at 10:21pmYes, you're right.

If we proceed with

Cost = 6 w^2 + 8 w h

we get:

w=6 and h=9.

**Related Questions**

calculus - This is problem 16 Section 4.6 page 246. A closed box with square ...

calculus - a closed box with square base is to have a V= 2000in^3. The material ...

calculus - A rectangular box is to be constructed from two different materials. ...

math - a woman wants to construct a box whose base length is twice the base ...

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

Algebra - A rectangular box with the volume 320 cu ft is built with a square ...

CALC - An open box is to be constructed so that the length of the base is 4 ...

Calc- Urgent Please - An open box (has a bottom but no top) needs to be ...

Calc - A rectangular box, with a square base and open at the top is to be ...

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