A rectangular box with no top is to be made to hold a volume of
32...
A rectangular box with no top is to be made to hold a volume of
32 cubic inches. Which of following is the least amount of material
used in its construction?
An open-top rectangular box is being constructed to hold a
volume of 400 in3. The base of the box is made from a
material costing 7 cents/in2. The front of the box must
be decorated, and will cost 10 cents/in2. The remainder
of the sides will cost 2 cents/in2.
Find the dimensions that will minimize the cost of constructing
this box.
Front width:
Depth:
Height:
An open-top rectangular box has a volume of 250 cm 3. The width
of the box is 5 cm. The cost is $2/ cm 2 for the base and $1/ cm 2
for the other sides. What is the minimum cost for making the
box?
A rectangular box with a square base and an open top and a
volume of 1ft^3 is to be made. Suppose the material used to build
the sides cost $4 per ft^2 and the material used to build the
bottom costs $1 per ft^2. Determine the dimensions (i.e. the
side-length of the base and the height) of the box that will
minimize the cost to build the box.
Note: if we let x denote the side-length of the base and...
A closed rectangular box of volume 324 cubic inches is to be
made with a square base. If the material for the bottom costs twice
per square inch as much as the material for the sides and top, find
the dimensions of the box that minimize the cost of materials.
A company plans to design an open top rectangular box with
square base having volume 4 cubic inches. Find the dimension of the
box so that the amount of materiel required for construction is
minimal.
(a) Find the dimension of the box so that the amount of materiel
required for construction is minimized.
(b) What is the minimized material required for the
construction?
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.
A cereal box, in the shape of a rectangular prism and with a
closed top, is to be
constructed so that the base is twice as long as it is wide. Its
volume is to be 8000cm3。
Find the dimensions that will minimize the amount of cardboard
required to make the box.
A rectangular box is to have a square base and a volume of 40
ft3. If the material for the base costs $0.35 per square
foot, the material for the sides costs $0.05 per square foot, and
the material for the top costs $0.15 per square foot, determine the
dimensions of the box that can be constructed at minimum cost.
= Length
Width
Height
how do i find length width and height
An open-top rectangular box is to be constructed with 300 in2 of
material. If the bottom of the box forms a square, what is the
largest possible box, in terms of volume, that can be
constructed?
A rectangular box with no top is to have a surface area of
64 m2. Find the dimensions (in m) that
maximize its volume.
I got width as X= 8sqrt3/3, length y=8sqrt3/3, and height as
z=4sqr3/3 but it is wrong and I don't know why