Posted by **help please.** on Monday, March 19, 2012 at 1:14pm.

An open rectangular box having a volume of 256 is to be constructed from a tin sheet.

Find the dimensions of such a box if the amount of material used in its construction is to be minimal.

Hint: Let the dimensions of the box be x by y by z . Then, xyz=256 and the amount of material used is given by . Show that f(x,y)= xy + 512/x + 512/y

minimize f(x,y)

- calculus -
**Reiny**, Monday, March 19, 2012 at 1:27pm
we know xyz = 256

so z = 256/(xy)

Surface area = SA

= 2xy + 2xz + 2yz

= 2xy = 2x(256/(xy)) + 2y(256/(xy))

= 2xy + 512/y + 512/x

hope that helps.

- calculus -
**Kendra**, Wednesday, September 3, 2014 at 9:29pm
What is caluculous

- calculus -
**Obiebe **, Sunday, May 3, 2015 at 5:32pm
are open cardboard has a base of 108cm3 diameter what an the area calculate And give answer .

## Answer This Question

## Related Questions

- calc - If an open box has a square base and a volume of 91 in.3 and is ...
- Calculus - If an open box has a square base and a volume of 106 in.3 and is ...
- Applied Calculus - If an open box has a square base and a volume of 112 in.3 and...
- Calculus - An OPEN box has a square base and a volume of 108 cubic inches and ...
- calculus - A rectangular box is to be constructed from two different materials. ...
- Math - Please help I have no Idea what to do here. A box with an open top is to ...
- calculus - A box with a square base and an open top is to have a volume of 68in^...
- Math - A box with an open top is to be constructed by cutting a-inch squares ...
- algebra - An open box is to be constructed from a rectangular sheet of tin 5 ...
- Calculus - A carpenter wants to make an open-topped box out of a rectangular ...

More Related Questions