Question
In: Math
By cutting away identical squares from each corner of a rectangular piece of cardboard and folding...
By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 15 in. long and 7 in. wide,
(a) Find the dimensions (in inches) of the box that will yield the maximum volume. (Round your answers to two decimal places if necessary.)
(b) Which theorem did you use to find the answer?
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milcah answered 2 years agoRelated Solutions
By cutting away identical squares from each corner of a rectangular piece of cardboard and folding...
By cutting away identical squares from each corner of a
rectangular piece of cardboard and folding up the resulting flaps,
an open box may be made. If the cardboard is 15 in. long and 14 in.
wide, find the dimensions of the box that will yield the maximum
volume. (Round your answers to two decimal places.)
2. Packaging By cutting away identical squares from each corner of a rectangular piece of cardboard...
2.
Packaging
By cutting away identical squares from each corner of a
rectangular piece of cardboard and folding up the resulting flaps,
an open box may be made. If the cardboard is 16 in. long and 6 in.
wide, find the dimensions (in inches) of the box that will yield
the maximum volume. (Round your answers to two decimal places if
necessary.)
smallest value=? in ?in largest value =?in
3.
Minimizing Packaging Costs
A rectangular box is to have a...
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.
a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 7 ft by 5 ft.
a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard measuring 7 ft by 5 ft. The resulting piece of cardboard is then folded into a box without a lid. Find the volume of the largest box that can be formed in this way.
b. Suppose that in part (a) the original piece of cardboard is a square with sides of length s. Find the volume of the largest box that...
A box with an open top is to be constructed from a 10 inch by 16 inch piece of cardboard by cutting squares of equal sides length from the corners and folding up the sides
A box with an open top is to be constructed from a 10 inch by 16 inch piece of cardboard by cutting squares of equal sides length from the corners and folding up the sides. Find the dimensions of the box of largest volume that can be constructed.
a. Squares with sides of length x are cut out of each corner of a rectangular...
a. Squares with sides of length x are cut out of each corner
of a rectangular piece of cardboard measuring 5 ft by 4 ft. The
resulting piece of cardboard is then folded into a box without a
lid. Find the volume of the largest box that can be formed in this
way.
b. Suppose that in part (a) the original piece of cardboard
is a square with sides of length s. Find the volume of the largest
box that...
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 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, 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?
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