Posted by **Hero** on Sunday, December 10, 2006 at 2:20pm.

a rectangular box of given volume is to be "a" times long as it is wide. find the dimension for which it has the least total surface area ?

L= aw

Total surface area= 2LW + 2Lh + 2Wh

= 2aw^2 + 2awh + 2wh

But volume= lwh= 2aw^2 h or h= V/2aw^2

Total Surface area= = 2aw^2 + 2awV/2aw^2 + 2wV/2aw^2

Take the derivative of surface area/with respect to w, solve.

## Answer This Question

## Related Questions

- GEOMETRY LATERAL AND SURFACE URGENT (PLEASEHELP) - 1.A RECTANGULAR BOX IS TO BE ...
- ms.sue help!!! (math ) - hi im doing surface area I wondering how do you get the...
- MATH-Stuck - For each of the following, the Surface Area is given. Calculate the...
- Intermediate Algebra - A parcel delivery service has contracted you to design an...
- maths - the ratio of total surface area to the curved surface area of a right ...
- math - The dimension of a closed cuboid box are in the ratio 5:4:3 if the total ...
- Maths - If the dimension of a right rectangular prism are 7cm,9cm and 3cm,then ...
- math - the dimension of a cuboid are in the ratio 5:3:2.find total surface area...
- Calculus - A rectangular box has a square base whose edge has length at least ...
- geometry - I found the volume of six cubes to total 336 cubic inches. How do I ...

More Related Questions