Question
In: Math
Determine the dimensions of a rectangular solid (with a square base) of maximum volume if its...
Determine the dimensions of a rectangular solid (with a square base) of maximum volume if its surface area is 216 square inches
Solutions
milcah answered 1 year agoRelated Solutions
a rectangular open tank is to have a square base, and its volume is to be...
a
rectangular open tank is to have a square base, and its volume is
to be 125 cubic metrrs. the cost per square meter for the bottom is
$24 and for the sides is $12. find the dimensions of the tank for
which the cost of the material is to be the least. what is the
least cost?
Find the dimensions (in inches) of the rectangular package of maximum volume subject to the constraint...
Find the dimensions (in inches) of the rectangular package of
maximum volume subject to the constraint that the sum of the length
and the girth cannot exceed 192 inches (see figure). (Hint:
Maximize V = xyz subject to the constraint x + 2y + 2z = 192.)
A rectangular box is to have a square base and a volume of 40 ft3. If...
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
A rectangular tank with a square base, an open top, and a volume of 1372 ft...
A rectangular tank with a square base, an open top, and a
volume of 1372 ft cubed is to be constructed of sheet steel. Find
the dimensions of the tank that has the minimum surface area.
A rectangular box with a square base and an open top and a volume of 1ft^3...
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 container with a square base is to have volume of 36,000 cubic centimeters....
A
closed rectangular container with a square base is to have volume
of 36,000 cubic centimeters. The material for the top and bottom of
the container will cost $0.10 per square centimeter, and the
material for the sides will cost $0.20 per square centimeter. Find
the dimensions with the least cost.
A rectangular box with a square base has a volume of 4 cubic feet. The material...
A rectangular box with a square base has a volume of 4 cubic
feet. The material for the bottom of the box costs $3 per square
foot, the top costs $2 per square foot, and the four sides cost $5
per square foot.
(a) If x is the side length of the square base, and y is the
height of the box, find the total cost of the box as a function of
one variable.
(b) Find the critical number...
A rectangular box with a square base has a volume of 4 cubic feet. The material...
A rectangular box with a square base has a volume of 4 cubic
feet. The material for the bottom of the box costs $3 per square
foot, the top costs $2 per square foot, and the four sides cost $5
per square foot.
(a) If x is the side length of the square base, and y is the
height of the box, find the total cost of the box as a function of
one variable.
(b) Find the critical number...
A company plans to design an open top rectangular box with square base having volume 4...
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?
find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a...
find the dimensions and volume of the right circular cylinder of
maximum volume inscribed in a sphere with radius 50cm
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