Calculus

posted by .

If an open box has a square base and a volume of 106 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.)
height in
length in
width in

  • CaSWincelculus -

    V = L*W*H = 106in^3,

    Since the base is square,
    W = H.
    L*W*W = 106,
    L*W^2 = 106,
    To minimize the material,
    let L = W:
    W*W*W = 106,
    W^3 = 106,
    W = crt(106) = 4.73in.
    L = 4.73in.
    H = 4.73in.

  • Calculus -

    thats wrong as fuk

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    A box with a square base and an open top is to have a volume of 68in^3 . Neglect the thickness of the material used to make the box, and find the dimensions of the box that would minimize the amount of material used. The width and …
  2. calculus

    A rectangular box is to be constructed from two different materials. The box will have a square base and open top. The material for the bottom costs $4.25/m2. The material for the sides costs $2.50/m2. Find the dimensions of the box …
  3. calculus

    An open rectangular box having a volume of 256 is to be constructed from a tin sheet. Find the dimensions of such a box if the amount of material used in its construction is to be minimal. Hint: Let the dimensions of the box be x by …
  4. calculus-max & min

    an open box with a square base is to be constructed from 48 square inches of material. What dimensions will produce a box with maximum volume?
  5. Applied Calculus

    If an open box has a square base and a volume of 112 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.) …
  6. calc

    If an open box has a square base and a volume of 91 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.
  7. Calculus

    An OPEN box has a square base and a volume of 108 cubic inches and is constructed from a tin sheet. Find the dimensions of the box, assuming a minimum amount of material is used in it's construction. HINT: the goal is to minimize the …
  8. Calculus

    A box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box that minimize the amount of material used.
  9. Calculus 1-Optimization

    A box with a square base and open top must have a volume of 4,000 cm^3. Find the dimensions of the box that minimize the amount of material used. sides of base cm height cm
  10. Calculus

    A box with a square base and no top is to be built with a volume of 6912 in^3. Find the dimensions of the box that requires the least amount of material. How much material is required at the minimum?

More Similar Questions