Monday

October 20, 2014

October 20, 2014

Posted by **Sunny** on Thursday, April 4, 2013 at 12:49am.

(solve step by step please!)

- Math -
**wodolo**, Thursday, April 4, 2013 at 1:05am4/2

- Math -
**Sunny**, Thursday, April 4, 2013 at 1:06amcan you explain how you got that please?

- Math -
**Reiny**, Thursday, April 4, 2013 at 8:40amlet the base be x m by x m, let the height be y m

x^2 y = 32

y = 32/x^2

cost = cost of base + cost of top + cost of 4 sides

= .03x^2 + .04x^2 +4(.05)xy

= .07x^2 + .2x(32/x^2)

= .07x^2 + 6.4/x

d(cost)/dx = .14x - 6.4/x^2

= 0 for a min of cost

6.4/x^2 = .14x

x^3 = .896

x = .896^(1/3) = appr .964 m

then y = 32/.964^2 = appr 34.43 m

The answer seems unreasonable, but I just can't find any errors in my solution.

Even wrote it out on paper.

**Answer this Question**

**Related Questions**

Math - Ignoring the walls’ thickness, determine the outside dimensions that will...

math - A rectangular box with a volume of 320 cubic units is to be constructed ...

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

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

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

Calculus - A rectangular box with square base (which is NOT necessarily a cube) ...

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

Calculus,math - Constuct a rectangular box with a square base that holds a given...

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

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