Question

If an open box with a square base has a volume of 46t^3 , what are...

If an open box with a square base has a volume of 46t^3 , what are the dimensions that require the less amount of materials in its construction:
a. base: 0.8 ft x 0.8ft, height: 6.25 ft
b. base: 2ft x 2ft, height: 1ft
c. base: 1ft x 1ft, height: 4ft
d. base: 1.5 ft x 1.5 ft, height: 1.8 ft

*please show all process

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
If an open box has a square base and a volume of 111 in.3 and is...
If an open box has a square base and a volume of 111 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction. (Round your answers to two decimal places.)
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...
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 box with a square base and open top must have a volume of 202612 cm3....
A box with a square base and open top must have a volume of 202612 cm3. We wish to find the dimensions of the box that minimize the amount of material used. (Round your answer to the nearest tenthousandths if necessary.) Length = Width = Height =
A box with a square base and open top must have a volume of 296352 cm3....
A box with a square base and open top must have a volume of 296352 cm3. We wish to find the dimensions of the box that minimize the amount of material used. (Round your answer to the nearest tenthousandths if necessary.) Length = Width = Height =
1- An open box with a square base is to have a volume of 10 ft3....
1- An open box with a square base is to have a volume of 10 ft3. (a) Find a function that models the surface area A of the box in terms of the length of one side of the base x. (b) Find the box dimensions that minimize the amount of material used. (Round your answers to two decimal places.) 2- Find the dimensions that give the largest area for the rectangle. Its base is on the x-axis and its...
A box with a square base and an open top must have a volume of 864...
A box with a square base and an open top must have a volume of 864 cm^3. Find the dimensions of the box that minimize the amount of material used.  
A box with a square base and open top must have a volume of 108000 cm^3....
A box with a square base and open top must have a volume of 108000 cm^3. We wish to find the dimensions of the box that minimize the amount of material used. First, find a formula for the surface area of the box in terms of only x, the length of one side of the square base. [Hint: use the volume formula to express the height of the box in terms of x.] Simplify your formula as much as possible....
a box with a square base and open top must have a volume of 62.5 cm^3...
a box with a square base and open top must have a volume of 62.5 cm^3 . find the dimension of the box that minimize the amount of materials used.
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...