Question
In: Advanced Math
A rectangular piece of cardboard, whose area is 170 square centimeters, is made into an open...
A
rectangular piece of cardboard, whose area is 170 square
centimeters, is made into an open box by cutting a 2- centimeter
square from each corner and turning up the sides. If the box is to
have a volume of 156 cubic centimeters, what size cardboard should
you start with?
Solutions
Colby Messinger answered 2 years agoRelated Solutions
An open rectangular box is made from a 9 inch by 12 inch piece of cardboard...
An open rectangular box is made from a 9 inch by 12 inch piece
of cardboard by cutting squares of side length ? from the corners.
Determine the length of the sides of the square which will maximize
the volume. (Clearly identify the function in terms of one variable
and state the domain, then solve.)
A box with an open top is to being created with a square piece of cardboard...
A box with an open top is to being created with a square piece
of cardboard 8 inches wide, by cutting four identical squares in
each corner. The sides are being folded as well. Find the
dimensions of the box that has the largest volume.
By cutting away an x-by-x square from each corner of a rectangular piece of cardboard and...
By cutting away an x-by-x square from each corner of a
rectangular piece of cardboard and folding up the resulting flaps,
a box with no top can be constructed. If the cardboard is 6 inches
long by 6inches wide, find the value of x that will yield the
maximum volume of the resulting box.
An open-top box is to be made from a 20cm by 30cm piece of cardboard by...
An open-top box is to be made from a 20cm by 30cm piece of
cardboard by removing a square from each corner of the box and
folding up the flaps on each side. What size square should be cut
out of each corner to get a box with the maximum volume?
A box with an open top is to be constructed out of a rectangular piece of cardboard with dimensions length=9 ft
A box with an open top is to be constructed out of a rectangular piece of cardboard with dimensions length=9 ft and width=6 ft by cutting a square piece out of each corner and turning the sides up as shown in the picture. Determine the length x of each side of the square that should be cut which would maximize the volume of the box.
A rectangular piece of cardboard with an L-shaped hole is held 1.0m directly in front of...
A rectangular piece of cardboard with an L-shaped hole is held
1.0m directly in front of a point source of light. The cardboard is
2.5m away from a wall. The cardboard and the wall are parallel. The
height H of the L is 11.40cm. The width W of the L is 5.59cm.
How tall is the image of the L on the wall?
How wide is the image of the L on the wall?
A rectangular piece of cardboard with an L-shaped hole is held 1.0m directly in front of...
A rectangular piece of cardboard with an L-shaped hole is held
1.0m directly in front of a point source of light. The cardboard is
2.5m away from a wall. The cardboard and the wall are parallel. The
height H of the L is 11.40cm. The width W of the L is 5.59cm.
How tall is the image of the L on the wall?
How wide is the image of the L on the wall?
A rectangular piece of cardboard with an L-shaped hole is held 1.0m directly in front of...
A rectangular piece of cardboard with an L-shaped hole is held
1.0m directly in front of a point source of light. The cardboard is
1.5m away from a wall. The cardboard and the wall are parallel. The
height H of the L is 15.40cm. The width W of the L is 7.08cm.
How tall is the image of the L on the wall?
How wide is the image of the L on the wall?
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 without a lid should be made with 12m2 of cardboard. What are the...
A rectangular box without a lid should be made with 12m2 of
cardboard. What are the dimensions of the box that maximize the
volume?
a.) 2m x 2m x 2m
b) 1.54m x 1.54m x 0.77m
c) 2m x 2m x 1m
d) 4m x 4m x 2m
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