A gutter having trapezoidal cross-section is to be made by bending a strip of tin 1 meter wide. If the width of base is 50cm, what width across the top gives the greatest carrying capacity? Provide illustrations.

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: A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 18 inches…

A: Given that , Total length of the sheet = 18 inches find width across the top will give the greatest…

Q: A 22​-ft by 28​-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the…

A: Walkway width is:-

Q: A pyramidal tent with a square floor is made from canvas which weighs 1 lb per square yard. If the…

A: It is given that the tent is a square pyramid and the weight of the canvas that is used to make the…

Q: A conical container holds 1 gal of liquid. If its slant height is 10 inches, at what points on the…

A:

Q: A gazebo is built in the shape of a regular octagon. Each side is 8ft long and the enclosed area is…

A: Given,          A gazebo is built in the shape of regular octagon . Each side is 8 ft long…

Q: A pipeline, is approximately 700 mi long. Assuming that it has a uniform 60 in. inside diameter,…

A:

Q: For a right circular cone, the slant height has a measure equal to twice that of the radius length…

A: Given a right circular cone. Whose total area is 48π in2. Slant height=Twice of radius. Let, For…

Q: The base of a right prism is a triangle whose sides measure 7 cm, 8 cm, and 12 cm. The altitude of…

A: Given: The base of a right prism is a triangle whose sides measure 7 cm, 8 cm and 12 cm. The…

Q: A rectangular prism has a length of 17cm, a height of 20cm, and a width of 18cm. What is its volume,…

A: The volume of the rectangular prism is calculated by using the formula, V=l×w×h. Where  l  is the…

Q: A rental truck has a cargo capacity of 288 ft3. A 10-ft pipe just fits resting diagonally on the…

A:

Q: For a regular square pyramid, the slant height of each lateral face has a measure equal to that of…

A:

Q: A church steeple in the shape of a regular square pyramid needs to be reshingled. The part to be…

A: The lateral area of the square pyramid is given by the formula, A=12×l×P where l is the slant height…

Q: A church steeple in the shape of a regular square pyramid needs to be reshingled. The part to be…

A: The problem concerns calculation of the surface area over the top of the pyramid that is going to be…

Q: A painting with a mass of 15 kg is suspended by two wires from hooks on a ceiling. If the wires have…

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Q: A

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Q: A regular square pyramid has a height of 8m. If the slant height makes an angle at 45 degrees with…

A:

Q: he sides of a cylindrical silo 13 ft in diameter and 29 ft high are to be painted. Each gallon of…

A: using formula of total surface area cylinder

Q: The base edge of the right triangular prism is an equilateral triangle whose perimeter is 33.6 cm.…

A: Topic = Mensuration

Q: Given a classroom measures 10 ft x 12 ft x 8 ft, about how many tennis balls will fit in the…

A: To determine the number of tennis balls that will fit the given classroom, let the average size of…

Q: What is the lateral area of a square based pyramid if the side is 5 in and the height is 10 in?

A: I have used surface area fomula for pyramid

Q: What is the amount of material in a hollow cylinder of height 20 cm, given that the sum of the…

A:

Q: A building in the shape of a cube has a width of 63 ft., a length of 63 ft., and a height of 63 ft.…

A: Given:

Q: Two square pyramids are similar. If the ratio of a pair of corresponding edges is a : b, what is the…

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Q: A grain silo consists of a cylindrical main section and a hemispherical roof. If the total volume of…

A:

Q: A fence 20 feet tall runs parallel to a tall building at a distance of 4 ft from the building as…

A:

Q: If there are 1, cu. ft. in a bushel, what is the capacity (in bushels) of a hopper in the shape of…

A:

Q: In a two-pulley system, the centers of the pulleys are 20 in. apart. If the radius of each pulley…

A: Given that the centers of the pulleys are 20 inch apart.Also, given that the radius of each pulley…

Q: Suppose a water tank in the shape of a right circular cylinder is thirty feet long and eight feet in…

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Q: A water trough is 9 m long and has a cros height 50 cm. If the trough is being filled m/min

A: Given a water trough which is 9 m long and has a cross section in shape of an isosceles trapezoid

Q: A prism has a volume of 213 ft3. what is the volume of a pyramid that has the same base and height…

A:

Q: 1. The hypotenuse of an isosceles right trapezoid measures 9 cm. How long is each leg? (Hint: Leg i…

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Q: A jacuzzi is in the shape of a right rectangular prism its length is 6 ft., its width is 8 ft., and…

A: Given : A jacuzzi is in the shape of a right rectangular prism, with dimensions: Length (L) = 6 ft.…

Q: The primary bedroom is 5 m by 4 m with a height of 2.5 m. Given that paint costs $1.39 per square…

A:

Q: 5. A trapezoidal gutter is to be made, from a strip of metal 22 inches wide by bending up the edges.…

A: Solution of above question is shown below

Q: A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an…

A: Given : A snowcone with radius of 4 cm is sold in a cone shaped paper cup with a height of 12 cm…

Q: ngular horse corral has one side measuring 27.7 ft., a second side measuring 45.6 ft., and a third…

A:

Q: A pole 27 ft. long is carried horizontally along the corridor 8 ft. wide and into a second corridor…

A: Consider the below figure. Let W be the width of the corridor. From the above figure note that,…

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: For a given box, the height measures 4 m. If the length of the rectangular base is 2 m greater than…

A: The height of the box is 4 m. Length of the rectangular base is 2 m greater than the width of the…

Q: If there are 1; cu. ft. in a bushel, what is the capacity (in bushels) of a hopper in the shape of…

A: Given query is to find the capacity of hopper .

Q: A square based prism and a cylinder both have the same height of 4cm^3, based on the concepts of the…

A:

Q: A church steeple in the shape of a regular square pyramid needs to be reshingled. The part to be…

A: Given figure:-

Q: The front and back of a storage shed are shaped like a triangle with a base of 4 ft and a height of…

A:

Q: An artist is contracted to paint a mural on the rectangular side of a building. If the dimensions of…

A:

Q: A factory is to be built on a lot measuring 120 ft by 160 ft. A local building code specifies that a…

A: Given: A factory is to be built on a lot measuring 120 ft by 160 ft. A local building code specifies…

Q: A church steeple in the shape of a regular square pyramid needs to be reshingled. The part to be…

A: Given The church steeple in the shape of a  regular square pyramid ,the each lateral edge measure 15…

Q: A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most economical…

A: the shape of silo is as shown    The total area if given by area of the circular base + area of…

Q: A factory is to be built on a lot measuring 114 ft by 152 ft. A local building code specifies that a…

A: Given: total area of yard and building = 114 ×152 ft2 = 17328 ft2 Now it is given that according to…