Question
In: Math
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 can be formed in this way.
Solutions
milcah answered 2 years agoRelated Solutions
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 rectangle has a length of 10 units and a width of 8 units. Squares of x by x units are cut out of each corner, and then.. For the following exercises, write the polynomial function that models the given situation.
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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?
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 rectangular piece of metal is 30in longer than it is wide. Squares with sides 6in...
A rectangular piece of metal is 30in longer than it is wide.
Squares with sides 6in long are cut from the four corners and the
flaps are folded upward to form an open box. If the volume of the
box is 2706incubed3, what were the original dimensions of the
piece of metal?
what is the original width?
what is the original length?
A cube has sides of length L = 1.00 mm. One corner is at the origin....
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ˆk. (a) find the electric flux through
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From a rectangular sheet measuring 250?? by 150??, equal squares of side ? are cut from...
From a rectangular sheet measuring 250?? by 150??, equal squares
of side ? are cut from each of the four corners. The remaining
flaps are then folded upwards to form an open box
Find the value of x that gives the maximum volume and give your
answer to 2 decimal places. Xmax=
Calculate the volume to the nearest ??3. Vmax=
A thin, rectangular sheet of metal has mass M and sides of length a and b....
A thin, rectangular sheet of metal has mass M and sides of
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your answer in terms of some or all of the variables M, a, and
b
Find the moment of inertia of the plate for an axis that lies...
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