Question

a closed rectangular container with a square base is to have a volume of 2400 cubic...

a closed rectangular container with a square base is to have a volume of 2400 cubic cm. it costs three times as much per square cm for the top and bottom as it does for for the side. find the dimensions of the container of least cost.

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 storage container with an open top is to have a volume of 10 cubic...
a rectangular storage container with an open top is to have a volume of 10 cubic meters. lenght of base is twice its width material for the base costs "13" dollars per square meter. material for side costs 8 dollars. find cost of materials for cheapest container
A cargo container in the shape of a rectangular box must have a volume of 480...
A cargo container in the shape of a rectangular box must have a volume of 480 cubic feet. If the bottom of the container costs $4 per square foot to construct, and the sides and top of the container cost $3 per square foot to construct, find the dimensions of the cheapest container which will have a volume of 480 cubic feet.
A storage company must design a large rectangular container with a square base. The volume is...
A storage company must design a large rectangular container with a square base. The volume is 24576ft324576⁢ft3. The material for the top costs $12$⁢12 per square foot, the material for the sides costs $2$⁢2 per square foot, and the material for the bottom costs $12$⁢12 per square foot. Find the dimensions of the container that will minimize the total cost of material.
A rectangular storage container with an open top is to have a volume of 28 cubic...
A rectangular storage container with an open top is to have a volume of 28 cubic meters. The length of its base is twice the width. Material for the base costs 14 dollars per square meter. Material for the sides costs 6 dollars per square meter. Find the cost of materials for the cheapest such container.
A rectangular box with a square base has a volume of 4 cubic feet. If x...
A rectangular box with a square base has a volume of 4 cubic feet. If x is the side length of the square base, and y is the height of the box, find the total cost of the box as a function of one variable The material for the bottom of the box costs $3 per square foot, the top costs $2 per square foot, and the four sides cost $5 per square foot. If x is the side length...
A rectangular box with a square base has a volume of 4 cubic feet. The material...
A rectangular box with a square base has a volume of 4 cubic feet. The material for the bottom of the box costs $3 per square foot, the top costs $2 per square foot, and the four sides cost $5 per square foot. (a) If x is the side length of the square base, and y is the height of the box, find the total cost of the box as a function of one variable. (b) Find the critical number...
A rectangular box must have a volume of 2 cubic meters. The material for the base...
A rectangular box must have a volume of 2 cubic meters. The material for the base and top costs $ 2 per square meter. The material for the vertical sides costs $ 8 per square meter. (a) Express the total cost of the box in terms of the length (l) and width (w) of the base. C = $ (b) Find the dimensions of the box that costs least. length = meters width = meters height = meters
A rectangular box with a square base has a volume of 4 cubic feet. The material...
A rectangular box with a square base has a volume of 4 cubic feet. The material for the bottom of the box costs $3 per square foot, the top costs $2 per square foot, and the four sides cost $5 per square foot Find the critical number of the cost function.
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.
A rectangular storage container with an open top is to have a volume of 30 cubic...
A rectangular storage container with an open top is to have a volume of 30 cubic meters. The length of its base is twice the width. Material for the base costs 14 dollars per square meter. Material for the sides costs 5 dollars per square meter. Find the cost of materials for the cheapest such container. Total cost =  (Round to the nearest penny and include monetary units. For example, if your answer is 1.095, enter $1.10 including the dollar sign...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT