Question

An enclosed box is needed. If the total volume required is 100 ft^3 , and the...

An enclosed box is needed. If the total volume required is 100 ft^3 , and the sides cost about 5 times less per square foot than the base, what dimensions will minimize the cost of the cage?

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 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)
A closed rectangular box is to contain 12 ft^3 . The top and bottom cost $3...
A closed rectangular box is to contain 12 ft^3 . The top and bottom cost $3 per square foot while the sides cost $2 per square foot. Find the dimensions of the box that will minimize the total cost.
A rectangular box is to have a square base and a volume of 48 ft3. If...
A rectangular box is to have a square base and a volume of 48 ft3. If the material for the base costs 4 cents per square foot, material for the top costs 20 cents per square foot, and the material for the sides costs 16 cents per square foot, determine the dimensions of the square base (in feet) that minimize the total cost of materials used in constructing the rectangular box.
A rectangular box is to have a square base and a volume of 45 ft3. If...
A rectangular box is to have a square base and a volume of 45 ft3. If the material for the base costs 14 cents per square foot, material for the top costs 6 cents per square foot, and the material for the sides costs 6 cents per square foot, determine the dimensions of the square base (in feet) that minimize the total cost of materials used in constructing the rectangular box.
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
There is an open-topped box that will have 5 sides.. The box to contain a volume...
There is an open-topped box that will have 5 sides.. The box to contain a volume of 6 ft3 and to have a square base. The base needs a stronger material which costs $3 per ft2. For the other sides I’ll use a material that costs $2 per ft2. What are the dimensions of the box that minimize the cost?
Find the dimensions and volume of the box of maximum volume that can be constructed. The...
Find the dimensions and volume of the box of maximum volume that can be constructed. The rectangular box having a top and a square base is to be constructed at a cost of $4. If the material for the bottom costs $0.10 per square foot, the material for the top costs $0.35 per square foot, and the material for the sides costs $0.25 per square foot,
Gloria would like to construct a box with volume of exactly 60ft^3 using only metal and...
Gloria would like to construct a box with volume of exactly 60ft^3 using only metal and wood. The metal costs $11/ft^2 and the wood costs $5/ft^2. If the wood is to go on the sides, the metal is to go on the top and bottom, and if the length of the base is to be 33 times the width of the base, find the dimensions of the box that will minimize the cost of construction. Round your answer to the...
A zoo supplier is building a​ glass-walled terrarium whose interior volume is to be 205.8 ft...
A zoo supplier is building a​ glass-walled terrarium whose interior volume is to be 205.8 ft cubed .205.8 ft3. Material costs per square foot are estimated as shown below. ​Walls: $5.00 ​Floor: ​$3.00 ​Ceiling: $3.00 A rectangular solid has a base with two sides of length x and y and a height of length z. The base and the face opposite it are shaded. What dimensions of the terrarium will minimize the total​ cost? What is the minimum​ cost? x...
An open-topped box is to have a square base and a volume of 10 ?3. The...
An open-topped box is to have a square base and a volume of 10 ?3. The cost per square meter of material is $5 for the bottom and $2 for the four sides. Let ? be the length of the base of the box and ℎ be the height of the box. Let ? be the total cost of material required to make the box. a. Express ? as a function of ? and find its domain. b. Find the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT