Question

Consider a cardboard box without a lid with dimensions x,yx,y and zz having volume 500cm3500cm3. Find...

Consider a cardboard box without a lid with dimensions x,yx,y and zz having volume 500cm3500cm3. Find x+y+zx+y+z that minimizes the amount of card box used (i.e. that of its total surface area).

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 company must build a cardboard box (without a lid) from a recycled cardboard sheet of...
A company must build a cardboard box (without a lid) from a recycled cardboard sheet of 21x21cm. Determine the dimensions of the box so that its volume has maximum capacity. Use the optimization method to determine the measure of the cuts. a). The cut at each corner must be = ___ cm b) The box's volume is = ___ cubic cm
Determine the dimensions of a rectangular box without lid, of maximum volume if the total surface...
Determine the dimensions of a rectangular box without lid, of maximum volume if the total surface is fixed at 64 cm2 . Solve without using Lagrange multipliers.
A manufacturer wants to design an open box, i.e, a box without a lid. The box...
A manufacturer wants to design an open box, i.e, a box without a lid. The box has a square base and a surface area of 108 square inches. What dimensions will produce a box with minimum volume.
Find the dimensions of a box with a top that has a volume of 1000 cubic...
Find the dimensions of a box with a top that has a volume of 1000 cubic centimeters that minimizes the possible surface area
Find the dimensions (i.e. length, width, height) of a box (with a top) that has a...
Find the dimensions (i.e. length, width, height) of a box (with a top) that has a volume of 64000 cubic centimeters that minimizes the surface area.
Let x,y,z denote the dimensions of a rectangular box open at top. If the function V(x,y,z)=a...
Let x,y,z denote the dimensions of a rectangular box open at top. If the function V(x,y,z)=a gives the volume, where a= 24,  find the minimum amount  of material required for its construction.
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...
( PARTA) Find the dimensions (both base and height ) of the rectangle of largest area...
( PARTA) Find the dimensions (both base and height ) of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis and lying on the parabola below. y = 8 − x (PARTB) A box with a square base and open top must have a volume of 62,500 cm3. Find the dimensions( sides of base and the height) 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 157216 cm3cm3....
A box with a square base and open top must have a volume of 157216 cm3cm3. 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 xx, the length of one side of the square base. [Hint: use the volume formula to express the height of the box in terms of xx.] Simplify your formula as much as possible....