Question

What are the dimensions of a closed rectangular box that has a square cross section, a...

What are the dimensions of a closed rectangular box that has a square cross section, a capacity of 133 in.^3, and is constructed using the least amount of material? (Round your answers to two decimal places.)

x =________ in

y =________in

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A rectangular box is to have a square base and a volume of 16 ft3. If...
A rectangular box is to have a square base and a volume of 16 ft3. If the material for the base costs $0.14/ft2, the material for the sides costs $0.06/ft2, and the material for the top costs $0.10/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost. (Refer to the figure below.) A closed rectangular box has a length of x, a width of x, and a height of y.
Minimizing Packaging Costs A rectangular box is to have a square base and a volume of...
Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base costs $0.28/ft2, the material for the sides costs $0.10/ft2, and the material for the top costs $0.22/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost. (Refer to the figure below.) A closed rectangular box has a length of x, a width of x, and a height of y. x...
If an open box has a square base and a volume of 111 in.3 and is...
If an open box has a square base and a volume of 111 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction. (Round your answers to two decimal places.)
A 10 ft3 capacity rectangular box with open top is to be constructed so that the...
A 10 ft3 capacity rectangular box with open top is to be constructed so that the length of the base of the box will be twice as long as its width. The material for the bottom of the box costs 20 cents per square foot and the material for the sides of the box costs 10 cents per square foot. Find the dimensions of the least expensive box that can be constructed.
United Parcel Service has contracted you to design a closed box with a square basethat has...
United Parcel Service has contracted you to design a closed box with a square basethat has a volume of 10,000 cubic inches. Initially, they would like to know the dimensions of such a box with minimum surface area. They are considering creating the box with a reinforced bottom. The box would be made from a cardboard material costing 1 cent per square inch to build the walls and top, however the bottom would be constructed with stronger material, costing 2...
1- An open box with a square base is to have a volume of 10 ft3....
1- An open box with a square base is to have a volume of 10 ft3. (a) Find a function that models the surface area A of the box in terms of the length of one side of the base x. (b) Find the box dimensions that minimize the amount of material used. (Round your answers to two decimal places.) 2- Find the dimensions that give the largest area for the rectangle. Its base is on the x-axis and its...
A closed rectangular box is going to be built in such a way that its volume...
A closed rectangular box is going to be built in such a way that its volume corresponds to 6m3. The cost of the material for the top and bottom is $ 20 per square meter. The cost for the sides is $ 10 per square meter. What are the dimensions of the box that produce a minimum cost?
A closed box with a square base is to have a volume of 2000in2. The material...
A closed box with a square base is to have a volume of 2000in2. The material for the top and bottom of the box is to cost $6 per in2, and the material for the sides is to cost $3 per in2. If the cost of the material is to be the least, find the dimensions of the box. Prove/justify your answer.
3. A new company has asked you to design a new box for their product. You...
3. A new company has asked you to design a new box for their product. You and your design team are working on what to use and what sizes, given that the volume of the box must be 512 inches3. a. Find a formula for the surface area of the closed, rectangular box, with a square base x inches by x inches and height h inches. Simplify your answer as much as possible. (I suggest drawing a picture!) b. Find...
A rectangular box is to have a square base and a volume of 40 ft^3. If...
A rectangular box is to have a square base and a volume of 40 ft^3. If the material for the base costs $0.36/ft^2, the material for the sides costs $0.05/f^2, and the material for the top costs $0.14/ft^2, determine the dimensions of the box that can be constructed at minimum cost. length____ft width____ ft height________ ft
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT