How many cubic feet of soil must be excavated to make a railroad embankment 200 ft long if a cross section of the embankment is an isosceles trapezoid whose bases are 20 ft and 33 ft and whose legs are each 15 ft long

Q: A cylinder with a diameter of 15 inches and a height of 18 inches is placed inside a cube with…

A: Given, Cylinder: Diameter=15 inches Height=18 inches Cube: Dimension(side)=18 inches     Find How…

Q: At a glassware factory, molten cobalt glass is poured into molds to make paperweights. Each mold is…

A: Given each mold is a rectangular prism whose height is 3 inches greater than the length of each side…

Q: How many post does it take to support a fence around a square field measuring 300 feet on a side if…

A: The square field is measuring 300 feet on a side.So, we have total of 300*4= 1200 feet of fencing.

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

A: Given  There is a square and triangular pyramid both have 36 square inches area of base and volume…

Q: A farmer has a 25 ft by 100 ft rectangular field that he wants to reduce to 54% of its original…

A:

Q: A pool in the shape of a right rectangular prism is 15 m long, 9m wide, and 2 high. What is the…

A:

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

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Q: The pyramid of Khufu is a regular square pyramid with a base edge of approximately 776 feet and an…

A:

Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

A: GIVEN - 1700 square centimeters of material is available to make a box with square base and an open…

Q: A rectangle sheet of metal has length three times the width. Three inch squares a cut from each…

A:

Q: A box with a square base has length plus girth of 108 in. (Girth is the distance "around" the box.)…

A: Consider the diagram, Observe that the box with a square base has length plus girth of 108 in. Here…

Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

A: Let the side of the square box be x cm and the height of the box be y cm.

Q: An eight ft board is cut into two pieces. One piece is 2 ft longer thant heother. How long are the…

A:

Q: A tank that is 54 feet deep, with a square bottom with sides 7 feet each, has 29 feet of oil that…

A: Consider the equation

Q: A candelabra holds 5 identical cylindrical candles, each with a diameter of 6 centimeters and a…

A: The diameter of cylindrical candle is 6 cm. Therefore, the radius is 3 cm. The height of the…

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

A: The Volume of a Square Pyramid Formula is =  13×A1×h1      (A1 = Area of base of square pyramid, h1…

Q: If 1400 square centimeters of material is available to make a box with a square base and an open…

A:

Q: A poster is to have an area of 210 in^2 with 1 inch margins at the bottom and sides and a 2 inch…

A: The area of the poster is 210 sq inches. let the length and breadth of poster are x and y…

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: 7) The base of a prism is a right triangle with legs measuring 16 feet and 4 feet. If the height of…

A: Note: We are entitled to solve only one question at a time. Given: The base of a prism is a right…

Q: A square plot of land has a building 60 ft long and 40 ft wide at one corner. The rest of the land…

A: The building will cover an area about 60×40=2400 sq ft. The parking lot covers an area about 12000…

Q: A rectangular lawn measures 80ft by 100 ft. Part of the lawn is torn up to install a sidewalk of…

A: A rectangular lawn measures 80ft by 100 ft. Part of the lawn is torn up to install a sidewalk of…

Q: A farmer has a 40 ft by 50 ft rectangular field that he wants to reduce to 10% of its original size.…

A: Let's find.

Q: A poster is to have an area of 240 in2 with 1 inch margins at the bottom and sides and a 2 inch…

A:

Q: A basement for a 25 ft by 42 ft house is to be dug at a depth of 8 feet. How many cubic yards of…

A: Given: Size of basement is 25 ft×42 ft and depth of house=8 ft.

Q: A piece of cardboard 4 ft by 4 ft will be made into an open topped box by cutting squares out of…

A: Summary... Cut should be of size  2/3 ft

Q: a rectangular prism tank has a base with a length of 40 inches a width of 35 inches and a height of…

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Q: How many post does it take to support a fence around a square field measuring 200 meters on a side…

A:

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

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Q: A rectangular pyramid has a base that is 16 inches long and 8 inches wide. The Volume of the pyramid…

A: Here we given Length =16 inches Width = 8inches Volume=640 cubic inches

Q: How many square meters of canvass are required for a conical tent 5.5 m high and 3 m diameter if 10%…

A: We know that the curverd surface area of cone :SA=πrh2+r2where r = radius and h = height

Q: A cylinder can hold 450 cubic inches of water. How many cubic inches of water can a cone that has a…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: An open box is to be made from a square piece of married by cutting  4 cm squares from each corner…

A: Given, The volume of the finished box is 324 cm3.The side of the cutting squares is 4 cm.To find the…

Q: If 1400 square centimeters of material is available to make a box with a square base and an open…

A: Explained below

Q: A cylindrical pitcher has a volume of 60 cubic inches. Andrea pours lemonade into conical glasses…

A: The volume of a cone is given by the expression V=13πr2h. Here, r is the radius of the cone and h is…

Q: A square plot of land has a building 80 ft long and 20 ft wide at one corner. The rest of the land…

A: Let x be the side of the square land area.

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: he base of a right prism is an equilateral triangle whose edges is 10cm each and its lateral edge is…

A: Given: The base of a right prism is an equilateral triangle whose edges is 10cm each and its lateral…

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: Three sides of a trapezoid are each 8cm long. How long is the 4th side, when the area of the…

A: Lets make a trapezoid ABCD.  AB   and CD a re parallel  Draw a vertical line from D  that meets at E…

Q: A farmer has a 25 ft by 40 ft rectangular field that he wants to reduce to 10% of its original size.…

A:

Q: A margarine tub has the shape of a frustum of a cone. With the lower base having diameter length 11…

A: Given: A margarine tub has the shape of a frustum of a cone. The lower base of a margarine tub:…

Q: How many spherical bullets can be made out of a solid cube of lead whose edge measures 44 cm , each…

A:

Q: A swimming pool has the shape of a box with a base that measures 28 m by 13 m and a depth of 3.5 m.…

A: Given Data- Length of swimming pool = 28 m Breadth of swimming pool = 13 m Depth of swimming pool =…

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…

Q: The end of a tough is an isosceles trapezoid of bases 24 inches and 36 inches, and non-parallel…

A: Given that: Bases of the isosceles trapezoid is 24 and 36 inches. Non parallel sides = 18 in, Length…