Question

a rectangular box with an open top and one partition is to be constructed from 288...

a rectangular box with an open top and one partition is to be constructed from 288 inches of cardboard.Find the dimensions that result in a box with largest possible volume.

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
An open-top rectangular box is being constructed to hold a volume of 300 in3. The base...
An open-top rectangular box is being constructed to hold a volume of 300 in3. The base of the box is made from a material costing 8 cents/in2. The front of the box must be decorated, and will cost 12 cents/in2. The remainder of the sides will cost 2 cents/in2. Find the dimensions that will minimize the cost of constructing this box. Front width: _______ in. Depth: ________ in. Height: ________ in.
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.
A rectangular box with an open top is to be made from a 13 -in.-by- 48...
A rectangular box with an open top is to be made from a 13 -in.-by- 48 -in. piece of cardboard by removing small squares of equal size from the corners and folding up the remaining flaps. What should be the size of the squares cut from the corners so that the box will have the largest possible volume?
A rectangular storage container with an open top and a square base is to be constructed....
A rectangular storage container with an open top and a square base is to be constructed. Material for the bottom costs $6/sq-ft, and material for the sides costs $3/sq-ft. If a total of $72 is budgeted for material expenses, what are the dimensions of the container that holds the largest volume?
Problem: A box with an open top is to be constructed from a square piece of...
Problem: A box with an open top is to be constructed from a square piece of cardboard, with sides 6 meters in length, by cutting a square from each of the four corners and bending up the sides. Find the dimensions that maximize the volume of the box and the maximum volume.
A box with an open top is to be constructed from a square piece of cardboard,...
A box with an open top is to be constructed from a square piece of cardboard, 6 ft wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have (round your answer to the nearest thousandth).
A rectangular box with a volume of 272 ft. cubed is to be constructed with a...
A rectangular box with a volume of 272 ft. cubed is to be constructed with a square base and top. The cost per square foot for the bottom is15cents, for the top is10cents, and for the other sides is 2.5 cents. What dimensions will minimize the​ cost? What are the dimensions of the box? The length of on side of the base is ___ The height of the box is___ (Rounds to one decimal place as needed)
You are planning to make an open rectangular box from a 19in by 37 ​-in. piece...
You are planning to make an open rectangular box from a 19in by 37 ​-in. piece of cardboard by cutting congruent squares from the corners and folding up the sides. What are the dimensions of the box of largest volume you can make this​ way, and what is its​ volume? The dimensions of the box of the maximum volume are
You are planning to make an open rectangular box from a 9in by 17in piece of...
You are planning to make an open rectangular box from a 9in by 17in piece of cardboard by cutting congruent squares from the corners and folding up the sides. What are the dimensions of the box of largest volume you can make this​ way, and what is its​ volume?
An open rectangular box is to be constructed by cutting square corners out of a20-by-20 inch...
An open rectangular box is to be constructed by cutting square corners out of a20-by-20 inch piece of cardboard and folding up the flaps. A box formed this way is shown on the right. Find the value of x for which the volume of the box will be as large as possible.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT