What are the dimensions of the base of a rectangular pyramidal frustum with a volume of 4400, a height of 1.5, and a side slope of 3 horizontal to 1 vertical

Q: If the rectangular barge is 3.0 m by 24.0 m and sits 0.90 m deep in the harbor, how deep will it sit…

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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: The minimum surface area for a given volume of a square-based rectangular prism occurs when the…

A: Let us assume the length of a edge of the base=xAnd height =y And volume=VSo, V=x2yor, y=Vx2

Q: 2. Find how fast the volume, surface area and diagonal of a cube as the length of the edge

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Q: An open-top box is to be made by cutting small congruent squares from the corners of a…

A: Let the length of the side of the square is x in So the height of the box= x in  Length = (12-2x) in…

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

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Q: The surface area of a right rectangular prism is 5,422 in. If the base is 23 x 31, find the height.…

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Q: A farmer with 2000 meters of fencing wants to enclose a rectangular plotthat borders on a straight…

A: Total fencing is 2000 meters. Let x be the width of the rectangle, then the length of the rectangle…

Q: Find the largest volume of a rectangular box with no top made by cutting little squares out of the…

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Q: Find the volume of a cone with a radius of 3 inches and a height of 7 inches in terms of T.

A: We have to find the volume of cone with given radius 3 inches and a height of 7 inches in terms of…

Q: What is the volume of a cube if the number of cubic units in its volume is twice the number of…

A: Given: If the number of cubic units in its volume is twice the number of squares units in its total…

Q: 7. If a cylinder has a surface area of 60 square inchess and a diameter of 3 inches, what is its…

A: Given :  Surface area of cylinder = 60 sq. Inches Diameter (2r ) = 3 inches

Q: 4. Find the dimensions of a rectangular box with a square base which has a volume of 12 cubic feet…

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

A: Given that, The volume of a truncated prism with a square as it horizontal base is equal to 5000…

Q: Find the length of the radius and the altitude of the cylinder of greatest volume if the radius…

A: Find the length of the radius and the altitude of the cylinder of greatest volume if the radius…

Q: Find the volume of a right regular triangular pyramid, where the base edge x = 36 cm and the  height…

A: Given that: Find the volume of a right regular triangular pyramid, where the base edge x = 36 cm and…

Q: The owner of the Rancho Grande has 2,980 yds of fencing with which to enclose a rectangular piece of…

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Q: If the length of three sides of a trapezium other than base are equal to 10 cm, then find the area…

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Q: The surface area of a rectangular prism is 450m^2. What will be the new surface area if all the…

A: Surface area of rectangular prism is :  SA = 2 ( WL + HL + HW ) Here L = length  W = Width  H =…

Q: True or False The surface area of a rectangular prism is 2,280 square feet. If the width and height…

A: Rectangular PrismGiven:- Surface Area = 2,280L = 24, W = 20, h = 15∴ Formula, Surface Area (SA)SA =…

Q: A triangular pyramid with an equilateral base has a side length of 10 centimeters and a surface area…

A: Given data: The side of the equilateral triangle base is a=10 cm. The surface area of the triangular…

Q: What dimensions will maximize the lateral surface area of an inverted cone, if V = 27 cm³?

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

A: Topic = Mensuration

Q: 4. A milldam of earth, with plane sloping sides of rectangular bases, 10 m. by 5 m. at the top and…

A: Area of top  =  b  =  10 * 5  =  50 m2    Area of bottom  =  B  =  20 * 10  =  200 m2    Height of…

Q: Find that length of canvas % meters wide is required to make a conical tent 8 meters in diameter and…

A: Canvas will be on the curved surface area of the tent.   The curved surface area of the conical tent…

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: 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: Does the perimeter of a regular octagon vary directly with the length of an edge of the octagon​?…

A: Consider   P be the perimeter of Regular octagon   and    S  is the length of each  edge

Q: 3. The cross-section of a tunnel, 50 meters in length is in the form of a rectangle 8 m wide and 4 m…

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Q: What is the shape of the horizontal cross section of this solid figure?

A: The given figure is a triangular prism.

Q: A cookie company packages its cookies in rectangular prism boxes designed with square bases that…

A: The volume of the box will be: length × width × height

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: What are the dimensions of the lightest​ open-top right circular cylindrical can that will hold a…

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Q: Suppose you wanted a flat that would hold 9,000 cubic centimeters of strawberries. What would be the…

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Q: I. Determine the length of face diagonal (d), length of diagonal of a solid (D), lateral surface…

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Q: Draw a cone that is inscribed in a regular pyramid whose altitude is 5 inches less than 3 times a…

A: Concept: The volume of the cone is 13πr2h The surface area of the cone is πr2+πrl Where r is the…

Q: show that the total area of the bunker is approximately 70m2

A: Observe the figure we can see that total area of the bunker is split in to four different triangles.…

Q: Find the dimentions of a cylinder. See images

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Q: If the size of the cake is equal to one, what is the area and thickness?

A: Here we should assume the shape of the cake since it is not given. Here size we will take in the…

Q: 2. If the slant height of the cone is 16 cm and the total area is 120t sq. cm., find the height of…

A: Let's find.

Q: Find the width for this rectangular prism if the length is 12 cm, the height is 5 cm, and the volume…

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Q: The top and bottom margins of a poster are a cm and the side margins are each b cm. If the area of…

A: First draw the figure accordingly and solve:

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

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Q: If x = 15.5 cm. and z = 23.8 cm., then the LATERAL AREA of the square based pyramid is _____cm2.…

A: The answer is found in step-2

Q: The base of a right triangular prism is an equilateral triangle of side 5cm. Find its lateral area…

A: The base of a right triangular prism is an equilateral triangle of a side 5cm. Also, the height is 6…

Q: Find the area of an isosceles trapezoid whose bases are 6 and 32 and whose height is 29. Round your…

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Q: Find the height of a circular cone having a slant height of √(10x ) and a base diameter of 2x

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Q: Assuming that the (square) base of this building has a side length of 646 feet and that the pyramid…

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