A box with an open top is to be constructed from a square piece of cardboard, 5 ft wide, by cutting out a square from each of the four comers and bending up the sides
A box with an open top is to be constructed from a square piece of cardboard, 5 ft wide, by cutting out a square from each of the four comers and bending up the sides. Find the largest volume that such a box can have.
A box with an open top is to be constructed out of a rectangular piece of cardboard with dimensions length=9 ft and width=6 ft by cutting a square piece out of each corner and turning the sides up as shown in the picture. Determine the length x of each side of the square that should be cut which would maximize the volume of the box.
A box with an open top is to be constructed from a 10 inch by 16 inch piece of cardboard by cutting squares of equal sides length from the corners and folding up the sides. Find the dimensions of the box of largest volume that can be constructed.
A box with an open top is to being created with a square piece
of cardboard 8 inches wide, by cutting four identical squares in
each corner. The sides are being folded as well. Find the
dimensions of the box that has the largest volume.
A box with an open top is to be constructed out of a rectangular
piece of cardboard with dimensions length=10 ft and width=11 ft by
cutting a square piece out of each corner and turning the sides up.
Determine the length x of each side of the square that
should be cut which would maximize the volume of the box.
An open cardboard box (with no top) is to be constructed so that the width of the box is four times its length. The length of the box is labeled x in the picture. You have 100 in2 of cardboard to use. Find the length x and the height y that maximize the volume of the box. (a.) Find a formula for the volume V in terms of x and y. (b) Use the constraint given by the amount of cardboard available...
An open-top box is to be made from a 20cm by 30cm piece of
cardboard by removing a square from each corner of the box and
folding up the flaps on each side. What size square should be cut
out of each corner to get a box with the maximum volume?
a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 7 ft by 5 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way.
b. Suppose that in part (a) the original piece of cardboard is a square with sides of length s. Find the volume of the largest box that...
Suppose a tin box is to be constructed with a square base, an
open top and a volume of 32 cubic inches. The cost of the tin to
construct the box is $0.15 per square inch for the sides and $0.30
per square inch for the base.
The minimized cost of the tin box is:
A. $3.50
B. $$4.82
C. none of the answers
D. $9.07
E. $$\$0$$
By cutting away an x-by-x square from each corner of a
rectangular piece of cardboard and folding up the resulting flaps,
a box with no top can be constructed. If the cardboard is 6 inches
long by 6inches wide, find the value of x that will yield the
maximum volume of the resulting box.
28. an open top box is to be formed by cutting out squares from
the corners of a 50 centimeter x 30 centimeter rectangular sheet of
material. The height of the box must be a whole number of
centimeters. What size squares should be cut out to obtain the box
with maximum volume.
a. Understanding the problem: If 6 centimeter x
6 centimeter squares are cut from from the corners, the height of
the box will be 6 centimeters. In...