What is the minimum surface area of a box whose top and bottom
is a square if the volume is 40 cubic inches. (Surface area is the
area of all the sides of the box).
The total surface area is the sum of the triangular area and
rectangular area. Complete the following code to compute the total
surface area of the shape. ??????? ???? = 12 ∗ ???? ∗ ????h? + ????
∗ ????h
This Java program prompts for and reads in the value of height,
base, and width in feet.This program uses two methods: Train_area
and Rect_area to calculate the area of the triangle and the area of
the rectangle, respectively. The following parameters:...
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 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
A rectangular coil of wire with an area of 0.167 m2
is situated in a constant magnetic field whose magnitude is 0.406
T. Suppose the normal to the surface of the coil is parallel to the
direction of the magnetic field (this means the magnetic field is
also normal, or perpendicular, to the surface of the coil). What is
the flux through the surface?
Tries 0/10
If the area of the coil is reduced to 0.110 m2 while
keeping the...
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?
Slab milling is performed on the top surface of a rectangular
workpiece that is 12.0 in long by 2.5 in wide by 4.0 in thick. The
helical milling cutter, which has a 3.0-in diameter and eight teeth
overhangs the width of the part on both sides. Cutting speed = 125
ft/min, feed = 0.006 in/tooth, and depth of cut = 0.300 in.
Determine (a) machining time, in min, and
(b) maximum metal removal rate during the cut.
in in3/min
(c)...
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 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...