Question

An open rectangular box (no top) is formed with a square base and rectangular sides so that the total volume enclosed is 475 cu. ft. What is the smallest amount of material (area) that can form such a box?

Answer #1

**Answer : 289.91476 sq. ft.**

**Please comment if you have any doubt.**

A rectangular storage container with an open
top and a square base is to be
constructed. Material for the bottom costs $6/sq-ft, and material
for the sides costs $3/sq-ft.
If a total of $72 is budgeted for material expenses, what are
the dimensions of the container that holds the largest volume?

A rectangular box is to have a square base and a volume of 20
ft3. If the material for the base costs
$0.37/ft2, the material for the sides costs
$0.10/ft2, and the material for the top costs
$0.13/ft2, determine the dimensions (in ft) of the box
that can be constructed at minimum cost.

A rectangular box is to have a square base and a volume of 40
ft^3. If the material for the base costs $0.36/ft^2, the material
for the sides costs $0.05/f^2, and the material for the top costs
$0.14/ft^2, determine the dimensions of the box that can be
constructed at minimum cost.
length____ft
width____ ft
height________ ft

A rectangular box is to have a square base and a volume of 16
ft3. If the material for the base costs
$0.14/ft2, the material for the sides costs
$0.06/ft2, and the material for the top costs
$0.10/ft2, determine the dimensions (in ft) of the box
that can be constructed at minimum cost. (Refer to the figure
below.)
A closed rectangular box has a length of x, a width of
x, and a height of y.

A rectangular box is to have a square base and a volume of 20
ft3. If the material for the base costs $0.17/ft2, the material for
the sides costs $0.06/ft2, and the material for the top costs
$0.13/ft2,
(a) determine the dimensions (in ft) of the box that can be
constructed at minimum cost.
(b) Which theorem did you use to find the answer?

A rectangular box is to have a square base and a volume of 48
ft3. If the material for the base costs 4 cents per square foot,
material for the top costs 20 cents per square foot, and the
material for the sides costs 16 cents per square foot, determine
the dimensions of the square base (in feet) that minimize the total
cost of materials used in constructing the rectangular box.

rectangular tank with a square base, an open top, and a volume
of 8788 ft^3 is to be constructed of sheet steel. Find the
dimensions of the tank that has the minimum surface area.

ASAP
A company plans to manufacture a rectangular container with a
square base, an open top, and a volume of 320 cm3. The cost of the
material for the base is 0.8 cents per square centimeter, and the
cost of the material for the sides is 0.2 cents per square
centimeter. Determine the dimensions of the container that will
minimize the cost of manufacturing it. What is the minimum
cost?

A rectangular box with a square base has a volume of 4 cubic
feet. 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 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. If x is the side length...

A rectangular storage container with an open top has a volume of
10 m3 . The length of the base is twice its width. Material for the
base costs $10 per sqaure meter and material for the sides costs $6
per square meter. (a) Find an equation for the volume of the box,
relating the variables of the height of the box and the width of
the base of the box. (b) Use the previous equation to solve for the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 seconds ago

asked 44 seconds ago

asked 3 minutes ago

asked 4 minutes ago

asked 4 minutes ago

asked 14 minutes ago

asked 16 minutes ago

asked 20 minutes ago

asked 25 minutes ago

asked 35 minutes ago

asked 39 minutes ago

asked 39 minutes ago