Question

An open box is to be made from 72 square meters of cardboard, and the length of the box must be exactly three times the width of the box. When the volume of the box is maximized, what is the height of the box?

Answer #2

answered by: anonymous

An open box is to be made from a 2-meters by 6-meters piece of
cardboard by cutting out squares of equal size from the four
corners and bending up the sides. Find the dimensions of the box
that would give the largest volume? Justify your answer by
displaying all work. Make sure to display the proper formulas for
the length and width in terms of x.

A box with an open top is made from a square sheet of cardboard
with an area of 10,000 square in. by cutting out squares from the
corners and folding up the edges. Find the maximum volume of a box
made this way. (draw a picture).

A rectangular box is made from a piece of cardboard that
measures 48cm by 18cm by cutting equal squares from each corner and
turning up the sides. Find the maximum volume of such a box if:
a) The height of the box must be at most 3cm.
b) The length and width of the base must at least 10cm.

Problem: A box with an open top is to be constructed from a
square piece of cardboard, with sides 6 meters in length, by
cutting a square from each of the four corners and bending up the
sides. Find the dimensions that maximize the volume of the box and
the maximum volume.

An open box is made from a square sheet of tin ( 60 in x 60 in).
by cutting out small identical squares from each corner and bending
up the resulting flaps, determine the dimensions of the largest box
that can be made and the maximum volume. Please write height ,
width and length. values and volume in you answer.

A box with an open top is to be constructed from a square piece
of cardboard, 22 in. wide, by cutting out a square from each of the
four corners and bending up the sides. What is the maximum volume
of such a box? (Round your answer to two decimal places.)

An open box is to be made from a 16-inch by 30-inch piece of
cardboard by cutting out squares of equal size from the four
corners and bending up the sides. What size should the squares be
to obtain a box with the largest volume?
a. Draw and label the diagram that shows length x and width y of
the box.
b. Find the volume formula in terms of x.
c. Find the x value for which the rectangle has...

An
open box is made out of a 10-inch by 18-inch piece of cardboard by
cutting out squares of equal size from the four corners and bending
up at the sides. find the dimensions of the resulting box that has
the largest volume.
asking for:
Dimensions of the bottom of the box: _ * _
height of box:

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. 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 =

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