Question

An open rectangular box (no top) is formed with a square base and rectangular sides so...

An open rectangular box (no top) is formed with a square base and rectangular sides so that the total volume enclosed is 475 cu. ft. What is the smallest amount of material (area) that can form such a box?

Homework Answers

Answer #1

Answer : 289.91476 sq. ft.

Please comment if you have any doubt.

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 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?
A rectangular box is to have a square base and a volume of 20 ft3. If...
A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base costs $0.37/ft2, the material for the sides costs $0.10/ft2, and the material for the top costs $0.13/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost.
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
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.
A rectangular box is to have a square base and a volume of 20 ft3. If...
A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base costs $0.17/ft2, the material for the sides costs $0.06/ft2, and the material for the top costs $0.13/ft2, (a) determine the dimensions (in ft) of the box that can be constructed at minimum cost. (b) Which theorem did you use to find the answer?
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.
rectangular tank with a square​ base, an open​ top, and a volume of 8788 ft^3 is...
rectangular tank with a square​ base, an open​ top, and a volume of 8788 ft^3 is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area.
ASAP A company plans to manufacture a rectangular container with a square base, an open top,...
ASAP A company plans to manufacture a rectangular container with a square base, an open top, and a volume of 320 cm3. The cost of the material for the base is 0.8 cents per square centimeter, and the cost of the material for the sides is 0.2 cents per square centimeter. Determine the dimensions of the container that will minimize the cost of manufacturing it. What is the minimum cost?
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 storage container with an open top has a volume of 10 m3 . The...
A rectangular storage container with an open top has a volume of 10 m3 . The length of the base is twice its width. Material for the base costs $10 per sqaure meter and material for the sides costs $6 per square meter. (a) Find an equation for the volume of the box, relating the variables of the height of the box and the width of the base of the box. (b) Use the previous equation to solve for the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT