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?

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Answer : 289.91476 sq. ft.

Please comment if you have any doubt.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A company plans to manufacture a rectangular box with a square base, an open top, and...
A company plans to manufacture a rectangular box with a square base, an open top, and a volume of 404 cm3. The cost of the material for the base is 0.5 cents per square centimeter, and the cost of the material for the sides is 0.1 cents per square centimeter. Determine the dimensions of the box that will minimize the cost of manufacturing it. What is the minimum cost?
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 box with an open top has a square base and four sides of equal height....
A box with an open top has a square base and four sides of equal height. The volume of the box is 225 ft cubed. The height is 4 ft greater than both the length and the width. If the surface area is 205 ft squared. what are the dimensions of the​ box? What is the width of the box?. What is the length of the box?
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 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 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...
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.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT