A rectangular piece of paper has 28 square inches of print in it. If its top and bottom margins were 1.4 inches while the left and right margins were 0.82 inches, what should be the minimum dimension of 'per? Show your solution.

Q: A food manufacturer packages his product in 1-liter cans that are right circular cylinders. If the…

A:

Q: A length of blood vessel is measured as 2.7 cm, with the radius measured as 0.7 cm. If each of these…

A:

Q: A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides…

A: We will use the basic knowledge of 3D solid geometry and applied differential calculus to answer…

Q: Find the minimum cost of a rectangular box of volume 140 cm³ whose top and bottom cost 2 cents per…

A:

Q: A manufacture wants to design an open box having a square base and a surface area of 256 square…

A:

Q: You have been asked to design a one-liter can shaped like a right circular cylinder. What dimensions…

A:

Q: By cutting away identical square from each corner of a rectangular piece of cardboard and folding up…

A:

Q: what are the dimensions of the right hexagonal prism of minimum surface whose volume is 36 cubic…

A: This is a problem of optimization.

Q: A parcel of land is in the form of a rectangle. Its area is 40 square meters. What should be its…

A: Let x and y , in meters be the length and width of the rectangular piece of land. Its area is 40…

Q: You are to construct an open rectangular box from 12 ft2 of material. What dimensions will result in…

A:

Q: A rectangular field of fixed area is to be enclosed and divided into five lots by parallel to one of…

A: To find the dimensions to obtain minimum fencing

Q: We have a piece of cardboard that is 50 cm by 20 cm and we are going to cut out the corners and fold…

A:

Q: A farmer has enough money to build only 150 meters of fence. What are the dimensions of the field he…

A: We know that, The perimeter of a rectangle is 2l+b where l is the length and b is the breadth of the…

Q: An open-top bin is to be made from a 15-centimeter by a 40-centimeter piece of plastic by removing a…

A: Assume that side of square which should be cut from each corner is a.Given the dimension of piece of…

Q: The Soup Company is constructing an open-top, square-based, rectangular metal tank that will have a…

A: Let dimension of tank be a*a*hBase area=a*a=a2height of tank=hgiven,   volume=32+t3   a2h=32…

Q: What positive number added to its reciprocal gives the minimum sum?

A:

Q: the radius of a sphere is found to be 22 cm in length with a possible error of more than 0.07 cm.…

A: The measure of the radius of a sphere is 22 cm with an error of 0.07cm.

Q: A rectangular piece of paper with a perimeter of 100 cm is to be rolled to form a cylindrical tube.…

A:

Q: An open box is to be made from a 3-ft by an 8-ft rectangular piece of sheet metal by cutting out…

A: An open box is to be made from a 3-ft by an 8-ft rectangular piece of sheet metal by cutting out…

Q: A rectangular lot having an area of 5000 sq meters is to be fenced on three sides Find the minimum…

A:

Q: an upright cylinder with a base radius of 5cm and a height of 10cm has a possible error of 0.08cm…

A:

Q: A box with a square base and open top must have a volume of 512 cubic inches. Find the dimensions of…

A: The solution is given below:

Q: A poster needs to have 75 square inches of printed material with margins of 5 inches at the top and…

A: Given: Area of rectangular page = 75 square inches Also, we have margins of 5 inches at the top and…

Q: A worker is to construct an open rectangular box with a square base and a volume of 8 ft°. If…

A: Let the height of the rectangular box be h. As the base of this box is a square, let the sides of…

Q: Find the rectangular box of maximum volume if the sum of the lengthsof the edges is 300 cm.

A:

Q: A rain gutter is made from sheets of aluminum that are 12 inches wide by turning up the edges to…

A: Given that, The three sides of the rain gutter is add up to 12 inches              2x+y=12⇒y=12-2x…

Q: A book is to contain 36 in² of printed matter per page, with margins of 1 in along the sides and 1…

A:

Q: A rectangular document is to contain 100 square inches of print with a margin of 0.5 inch on each…

A:

Q: a plastic right circular cylinder with closed ends is to hold V cubic feet. if there is no waste in…

A: a plastic right circular cylinder with closed ends is to hold V cubic feet. if there is no waste in…

Q: A portion of a blood vessel is measuredas having length 7.9 cm and radius 0.8 cm. If each…

A:

Q: The total surface area of an industrial cylindrical autociave is to be limited to 20m2. If it is…

A:

Q: A hemispherical dome with a diameter of 60 meters has to receive a coat of 5 cm of paint. Use…

A:

Q: A piece of wire of length 1 meter is cut into two parts, one of which is bent into the shape of a…

A: A piece of wire of length 1 meter is cut into two parts , one of which is bent the shape of a circle…

Q: Phil wants to design an open box with a square base with a surface area of 400 square inches. What…

A: We need to find dimensions of a box whose volume is maximum.  & volume = x^2 y

Q: A company wishes to manufacture a box with a volume of 20 cubic feet that is open on top and is…

A:

Q: A rancher has 240 ft of fencing with which to build a rectangular corral alongside an existing…

A: We know, in rectangle, pair of opposite sides are equal.In rectangular corral, let length of equal…

Q: A company is constructing an open-top square-based, retangular metal tank that will have a volume of…

A:

Q: A candy box is made from a piece of cardboard that measures 35 by 19 inches. Squares of equal size…

A: Consider the length of the cardboard is 35 in and width of the cardboard is 19 in Suppose length of…

Q: a plastic right cylinder with closed ends is to hold v cubic feet. if there is not waste in…

A: Let r and h, in feet  be radius and height of cylinder. Volume of cylinder is V cubic feet.

Q: Find the minimum cost of a rectangular box that is three times as long as it is wide and which holds…

A: Consider the dimension of rectangular box be x, 3x, and h. Then, volume is given by V=x×3x×h  =3x2h…

Q: Find the minimum cost of a rectangular box of volume 200 cm³ whose to

A:

Q: A company wishes to manufacture an open top box with volume 56 cubic feet, and it is twice as long…

A:

Q: A rectangular box is to have a square base and a volume of 20 ft³. If the material for the base…

A: Given, Rectangular box is to have a square base and a volume of 20 ft3  The material for the base…

Q: You have been asked to design a 1L oil can shaped like a right circular cylinder with open top. What…

A:

Q: A closed box with a square base is to have a volume of 2000 cm3. The material for the top and bottom…

A: To find extremas of function, first, we need to calculate critical points. Those points at which the…

Q: A rectangular tank that is 1372 ft° with a square base and open top is to be constructed of sheet…

A: The tank with minimum weight is the one with minimum surface area. Since the base is square, its…

Q: A company wants to come up with a package box that has a square base a volume of 125 cubic ft. What…

A: