A lont strip of sheet metal 12 inches wide is to be made into a small trough by turning up two sides and right angles to the base.  If the trough is to have maximum capacity, how many inches should be turned up on each side?

Q: A trapezoidal gutter is to be made from a strip of metal 22 inches wide by bending up the edges. If…

A: According to the figure consider the figure of the given situation,

Q: An open box will be made by cutting a square from each corner a 5-ft by 8-ft piece of cardboard and…

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Q: A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into a…

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Q: A standard elevator in a midrise building can hold a maximum weight of about 3 2/3 tons. Assuming an…

A: We first convert tons into pounds

Q: Suppose a long rectangular sheet of metal, 16 inches wide and 12 feet long, is to be made into a…

A: 12feet= 144 inch. width=16 inches. length=144 inch. Let x width turned both sides. so ,volume of the…

Q: A swimming pool is built in the shape of a rectangular parallelepiped 8 ft deep, 15 ft wide, and 20…

A: Given that: Depth of the rectangular parallelepiped: d=8 ft. Width of the rectangular…

Q: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

A: Find the minimum amount of tin sheet in square inches that can be made into a closed cylinder having…

Q: A piece of wire 60 cm long is to be folded into a rectangle.what should be the dimensions so that…

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Q: As a result of Superstorm Sandy in 2012, many basements on Long Island were flooded. If a basement…

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Q: Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then…

A: Given problem is : Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular…

Q: Consider the following problem: A farmer with 850 ft of fencing wants to enclose a rectangular area…

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

Q: If a rectangular pool is 15 feet long and 8 feet wide and there are 20 people in the pool; what is…

A: Given, Length of pool l= 15 feet Width of pool w= 8 feet Number of people in the pool = 20

Q: An open box is to be made from a 6 ft by 16 ft reetangulas card board by cutting out equaL squares…

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Q: A steel storage tank for propane gas is to be constructed in the shape of a right circular cylinder…

A: Given, A steel storage tank for propane tank gas is to be constructed in the shape of a right…

Q: A silo consists of a cylinder surmounted by a hemisphere. If the floor is three times as expensive…

A: Let r be the radius of the hemisphere. This is also the radius of the base of the cylinder. Let h be…

Q: Find the minimum cost of a rectangular box of volume 150 cm³ whose top and bottom cost 5 cents per…

A: Let the length, width and height of the rectangular box be x,y,z, respectively. So, volume,…

Q: Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then…

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Q: How long must the brace be on a closet rod holder if the vertical side is 17 cm and the horizontal…

A: Given Data: The horizontal length is: H=38 cm The vertical length is: V=17 cm   From the figure, the…

Q: Two posts, one 12 feet high and the other 28 feet high, stand 30 feet apart. They are to be stayed…

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Q: An open box is made from a 16 inch by 16 inch piece of cardboard by cutting equal squares from each…

A: This question is based on application of derivative.

Q: A snail slid 7 cm down a stalk and climbed 5 cm back up. Hlow far was the snail below its original…

A: Given : A snail moves 7 cm down then moves 5 cm up.

Q: The diameter of a standard basketball is 9.5 inches. If the basketballs are covered in rubber, what…

A: *As per the guidelines, only the first question answered. Please repost the remaining questions…

Q: Two pieces of tubing 3 3/8 inch and 4 1/16 inch respectively are to be cut from a 10 inch length.…

A: We need to find the length of remaining tubing piece.The lengths of cut pieces are,

Q: A rectangular lot 60 ft. Iong and 30 ft. wide is to be surrounded by a fence with posts 6 ft apart.…

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Q: How much work is required to pump all the water from a right circular cylindrical tank, that is 8…

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Q: A cow is tethered to one corner of a square barn, 20 feet by 20 feet, with a rope 100 feet long.…

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Q: Two vertical poles, one 8 ft high and the other 16 ft high, stand 18 feet apart on a flat field. A…

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Q: A 400-lb cable is 250 feet long and hangs vertically from the top of a building. How much work is…

A: Data given

Q: Find the total rebound distance of a ball that is dropped from a height of 7 m, with each rebounds…

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Q: A 11 foot ladder is placed against a vertical wall of a building, with the bottom of the ladder…

A: This is the question of the application of the Pythagoras theorem.

Q: If a rectangular garden is 6 feet long and 4 feet wide and there are 10 vegetables planted; what is…

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Q: A uniform cable hanging over the edge of a tall building is 40 feet long and weighs 60 pounds. How…

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Q: Suppose Hayley wants to mail a poster inside a cylindrical container. To mail a cylindrical package…

A: Given:  Let the lenght of of the package= x                   the radius of of the package= r…

Q: Suppose a weight is to be held 10 feet below a horizontal line AB by a wire in the shape of Y. If…

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Q: Consider a 20-foot chain that weighs 3 pounds per foot hanging from a winch 20 feet above ground…

A: Find the work done by the winch in winding up one-third of the chain

Q: A rectangula plot of land is to be seeded with grass. If the plot is 16 m by 12 m and a 1kg bag of…

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Q: Two equal rectangular lots are enclosed by fencing the perimeter of a rectangular lot and then…

A:

Q: Suppose a weight is to be held 10 feet below a horizontal line AB by a wire in the shape of a Y. If…

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Q: Jim wants to build a rectangular parking lot along a busy street but only has 2,100 feet of fencing…

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Q: A cardboard box with the dimensions of 20*15*5 (lwh), is used by a compnay to package laptops. If…

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Q: A trapezoidal gutter is to be made, from a strip of metal 22 inches wide by bending up the edges. If…

A: Solution is here

Q: How many cubic feet of soil must be excavated to make a railroad embankment 200 ft long if a cross…

A: Solve by using mensuration formulas

Q: ular settling tank are: Length 24, Width 6 m and depth 3 m. If 3 hours detention time for tank is…

A: Here the length of the rectangular settling tank L=24 m the breadth of the rectangular settling tank…

Q: An office, 5 m long, 4 m wide and 2.5 m high, is to have its walls covered with plywood panels. The…

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Q: A square piece of green origami paper that is 6 inches on a side is being made into a gift box (with…

A: Maximizing the surface.

Q: The owner of the Rancho Grande has 2,972 yd of fencing with which to enclose a rectangular piece of…

A:

Q: A pile of snow is plowed into the shape of a right cone. How many trucks with a capacity of 10 yd3…

A: Here we will find number of trucks required ,

Q: A dog trainer has 58ft of fencing with which to create a rectangular work area for dogs. If the…

A: Given that a dog trainer has 58 ft of fencing with which to create a rectangular work area for dogs.…

Q: Your team has contracted to design and build a 500 ft³, square-based, open-top, rectangular steal…

A: surface area of rectangular field = A=4×length×height+length×breadth. Volume of rectangular field:…

Q: What is the length and width of a rectangle that has an area of 64 square ft and a minimum…

A: let length = x width = y   Area = 64 square ftxy=64y=64x