What are the dimensions for the cheapest possible rectangular
box with a volume of 72 cm3 ...
What are the dimensions for the cheapest possible rectangular
box with a volume of 72 cm3 if the material for the bottom costs
$16/cm2, material for the sides costs $2/cm2, and material for the
top costs $20/cm2 ?
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?
a.) 80 in2
b.) 48 in2
c.) 64 in2
d.) 96 in2
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.)
2. Calculate the volume and dimensions of a rectangular
sedimentation tank for a flow rate of 10,000 gpm based on a maximum
overflow rate of 650 gallons per day/sq ft. Also, determine the
length of the effluent weir and calculate the horizontal flow
velocity in the tank.
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 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 box with a square base and open top must have a volume of
32000 cm3. We wish to find the dimensions of the box that minimize
the amount of material used.
Find the following:
1. First, find a formula for the surface area of the box in terms
of only x, the length of one side of the square base. [Hint: use
the volume formula to express the height of the box in terms of x.]
Simplify your formula...
We are tasked with constructing a rectangular box with a volume
of 1313 cubic feet. The material for the top costs 1010 dollars per
square foot, the material for the 4 sides costs 22 dollars per
square foot, and the material for the bottom costs 99 dollars per
square foot. To the nearest cent, what is the minimum cost for such
a box?
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.