An open box is to be made from 8 inches by 18 inches piece of cardboard by cutting squares of equal size from the four corners and bending up the sides. How long should the sides of the squares be to obtain a box with the largest volume?

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Q: A box is to be made from a piece of cardboard 16 in. x 10 in. by cutting equal squares out of the…

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Q: A rectangular piece of metal is 5in. longer than it is wide. Squares with sides of 4in. long are cut…

A: Given: A rectangular piece of metal is 5in. longer than it is wide. Squares with sides of 4in. long…

Q: A rectangular piece of metal is 30 in longer than it

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Q: A box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by…

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Q: A poster is to have an area of 900 cm2 with 4-cm margins at all four sides.  What dimensions of the…

A: Let the length of poster be x cm Let the width of poster be y cm So, area of poster =x×y

Q: A rectangle piece of Metal has a length that is 10 inch longer than its width. Squares with sides 3…

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Q: A box with an open top is to be constructed from a square piece of cardboard 2m inches wide, by…

A: Given information: A box with an open top is to be constructed from a square piece of cardboard 2m…

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Q: The diameter of the front wheels of a tractor is 0.8 m and the diameter of the back wheels is 1.1 m.…

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Q: The volume of a truncated prism with a square as it horizontal base is equal to 5000 cubic inches.…

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Q: how long is the shorter side of the rectangle when one side is 2" longer than the other and the area…

A: Let l and b are the length and breadth of the rectangle.

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Q: A rectangle with sides measuring x in. and 4x-1 in. has an area of 663in.^2. What are the dimensions…

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Q: A rectangular piece of metal is 5 in longer than it is wide. Squares with sides 1 in long are cut…

A: Given: Volume of box = 374

Q: A box with no lid is made by cutting 4 squares of side lenght x from each corner of an 18 cm by 35…

A: After cutting side length x from each side length be l  , l=18-2x breadth be b , b=35-2x height be h…

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A: A farmer has $1500 available to build an E-shaped fence along a straight river so as to create two…

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A: Let the width be x ftlength = (3x-70) ftPerimeter = 940 ftAlos,Perimeter of rectangle = 2(l+w)…

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Q: What is the maximum volume of an open box that can be made from a square piece of cardboard, 10in on…

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Q: An open box, no more than 5 cm in height, is to be formed by cutting four identical squares from the…

A: The dimension of the metal sheet is 25 cm by 32 cm. Let x cm be the side length of the squares…

Q: A box with square ends of side x and a length L is to be made such that L+4x = 4 meters. The…

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Q: The area of a triangular-shaped wall is (10x^2+20.5x+14) m^2 . The base of the wall is (4x + 7) m…

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Q: For a given box, the height measures 6 m. If the length of the rectangular base is 2 m greater than…

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A: To find the maximum possible volume of the box in cubic inches

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Q: a box with square ends of side x and a length L is to be made such that L+4x=4 meters. The dimension…

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Q: A machine produces open boxes using square sheets of metal. The machine cuts equal-sized squares…

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Q: . A rectangular piece of cardboard measuring 24cm by 30cm is to be made into an open top box by…

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Q: A ladder 7 m long leans against a wall so that the foot of the ladder is 2 m from the wall. How far…

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Q: A square pyramid and a triangular pyramid each have a base that measures 36 square inches. The…

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Q: the total area of a cone is 125 pi cm^2 if its dimensions are increased to five times their original…

A: The total area of cone is A=πrr+l where r is the radius and l is the slant height.

Q: Suppose you ask a jeweller to form a gold in the shape of a sphere whose volume is * cm³. But you…

A: Intial volume of gold = 4π/3.

Q: How many inches of molding will it take to frame a picture with dimensions 8 x 12 inches if there is…

A: Given Data: The length of the picture is: L=8 inches The width of the picture is: W=12 inches The…