# math - Calc optimization

posted by .

You are an engineer in charge of designing the dimensions of a box-like building. The base is rectangular in shape with width being twice as large as length. (Therefore so is the ceiling.) The volume is to be 1944000 m3. Local bylaws stipulate that the building must be no higher than 30 m. Suppose the walls cost twice as much per m2 as the ceiling, and suppose the floor (i.e.base) costs nothing. Find the dimensions of the building that would minimize the cost.

## Similar Questions

1. ### math

A box with a rectangular base and rectangular sides is to be open at the top. It is to be constructed so that its width is 8 meters and its volume is 72 cubic meters. If building this box costs \$20 per square meter for the base and …
2. ### Calculus

You are an engineer in charge of designing the dimensions of a box-like building. The base is rectangular in shape with width being twice as large as length. (Therefore so is the ceiling.) The volume is to be 1944000 m3. Local bylaws …
3. ### Calculus optimization

A rectangular storage container with a lid is to have a volume of 8 m. The length of its base is twice the width. Material for the base costs \$4 per m. Material for the sides and lid costs \$8 per m. Find the dimensions of the container …
4. ### HELP!! OPTIMIZATION CALCULUS

A rectangular storage container with a lid is to have a volume of 8 m. The length of its base is twice the width. Material for the base costs \$4 per m. Material for the sides and lid costs \$8 per m. Find the dimensions of the container …
5. ### Algebra

A box shaped like a rectangular prism has a height of 17 in and a volume of 2,720 in³ The length is 4 inches greater than twice the width. What is the width of the box?
6. ### Math

A box manufacturer wants to produce an open box for which the volume is 2 cubic meters and the length is twice the width. What actual dimensions of he box will require the least amount of material?
7. ### Algebra 1B

A box shaped like a rectangular prism has a height of 17 in and a volume of 2,720 in³ The length is 4 inches greater than twice the width. What is the width of the box?
8. ### AP CaLC. AB

1. A fence 8 ft tall runs parallel to a tall building at a distance of 7 ft from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
9. ### Math

"An office building is in the shape of a right rectangular prism wit height 200m, length 60m and width 40m. The top quarter of each vertical face of the building is to be covered with a large banner. What is the total surface area …
10. ### Math

We want to construct a closed rectangular box whose base has a length three times the width. The surface area has to be 600 cm2. Determine the dimensions of the box that will produce the largest volume.

More Similar Questions