Solve the following problems on solids and circles. Draw the figure. 3. Find volume of the largest regular pyramid of square base that can be cut from s cube of edge “a” meters. What is its total surface area? 4.How far from the top must you cut a conical tent in order to cut cloth(material) in half?

Q: The volume of a frustum of a regular triangle pyramid is 135 cu. m. The lower base is an equilateral…

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Q: 2. Imagine a very huge industrial metallic bucket is in the shape of the frustum of a right circular…

A: Given is a frustum of radius 5m and 2m  and height 4m .

Q: 1. If a = 100 mm and h = 12 h a 1. Find for the volume of a Hexagonal Prism? 2. Find for its Total…

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Q: 2. A cone has a volume 7,065 in.3 and a height of 30 inches. What is the radius of the cone?

A: Given: Volume of the cone = 7065 in3  Height of the cone = 30 inches. To Find: Radius of the cone.

Q: | The dimensions a, b, c of a rectangular prism have 1 the property + b c 1 1 1 Find the volume of a…

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Q: Given a cylinder with a base area of 144π in² and the height that is twice the radius. Find the…

A: The lateral surface of an object is the area of all the faces of the object, excluding the area of…

Q: Now that you have found the volume and surface area of each shape, find the cost of manufacturing…

A: Let's find.

Q: Consider the following toy made from a cone with height 14cm and a hemisphere (half of a sphere)…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 12. How many box-shaped scoops 2 in x 2 in x 3 in ar. needed to fill an inverted pyramid shape that…

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Q: A dairy sells ice cream in 11.4 L cardboard containers. ( 1 L= 1 000 cm ) If the diary uses a…

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Q: 2. An observatory has the shape of a right circular cylinder surmounted by a hemisphere. If the…

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Q: Given the hexagonal pyramid below, if h = 17 and s = 11, what is the volume of the pyramid? Round to…

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Q: Two similar cones have heights of 4m and 12m. What is their scale factor? What is the ratio of their…

A: Given: Both cone are similar

Q: 2. An observatory has the shape of a right circular cylinder surmounted b a hemisphere. If the…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: The Oats 'n' More Company is designing a new cylindrical container with half the volume of its…

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Q: 4. Find the volume of the sphere below. 6 km

A: topic - volume of a sphere

Q: Given the hexagonal pyramid below, if h = 24 and s = 13, what is the volume of the pyramid? Round to…

A: Answer is mentioned below

Q: If you fit the largest possible cone inside a sphere, what fraction of the volume of the sphere is…

A: In the given question we have to tell about the fraction of the volume of the sphere occupied by the…

Q: Two similar pyramids have a surface area ratio of 81:29. Find the volume of the smalller pyramid,…

A: for two similar solidscale factor =abRatio of the Surface Areas=ab2Ratio of volume =ab3

Q: 2. Find the area of this shape 7.4m 4.8m 7.8 m --12.2 m-- 3. If this was the base of a prism with a…

A: 2. There are three triangles. So find the area of the triangle 1,2 and 3 and then add them up to…

Q: 4. The altitude of a right hexagonal prism is twice as long as the edge of the base. If the prism…

A: Given Volume = 1923in3

Q: 2. The EXACT surface area of a cylinder is 160a in?. If the radius is 5 in, find the height & the…

A: Surface area of cylinder = 2πrh + π r2 And  Volume of cylinder V = π r2 h

Q: A grain silo can be modeled as a right cylinder topped with a hemisphere. Find the volume of the…

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Q: What is the (a) curved surface area of the cone (the base is not included) if the radius is 10cm and…

A: We know that curved surface area of cone = πrl , here l is the slant height and r is the radius Area…

Q: In a water treatment plant, a civil engineer must fabricate a settler with a regular cone shape V=…

A: Given,           In a water treatment plant, a civil engineer must fabricate a settler with a…

Q: Solve the surface area and volume of the following solid figures 2.5 1. 2.5 2.5 5 cm 2.

A: To find out the surface area and volume.

Q: 2) Find the total surface area of the regular pyramid. 13 ft 12 ft 10 ft Round your answers to the…

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Q: 10. Find the volume of a right circular cone. (Start by designating a rectangle, and revolving the…

A: Assuming the rectangle has length 'l' and width 'b' OABC→Rectangle each angle is 90°oppposite sides…

Q: Find the volume of a square pyramid with a height of 9 m and base edges of 4 m. v=O m3 (Round to the…

A: Height =9m, Base edges=4m

Q: A cuboidal box of dimension 1 m * 2m * 1.5m is to be painted except its bottom .Calculate how much…

A: Given, A cuboidal box of dimension 1m×2m×1.5 m is to be painted expected its bottom  . we have to…

Q: The pencil holder is to have a base that has the same sides and a surface area of 100 cm². What…

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Q: What is the volume of a cylinder with a height of 13.6 cm and a base with a radius of 6.6 cm, to the…

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Q: A regular pentagon has sides of 20 cm. an inner pentagon with sides of 10 cm is inside and…

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Q: Use the triangular prism to answer the following questions: 4cm 3,3cm 8cm 6cm 2.1 2.1.1 Draw a net…

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Q: 19.) What is the surface area of a rectangular prism with length of 20.1 m, a width of 6.8 m, and a…

A: Length, l = 20.1 m breadth, b = 6.8 m height, h = 7.4 m Surface area of rectangular prism, A = 2(l*b…

Q: 21. Find the volume of the square pyramid shown. Round to the nearest tenth as necessary. 10 cm 12…

A: topic - volume of pyramid and cylinder

Q: 2. The EXACT surface area of a cylinder is 160n in?. If the radius is 5 in, find the height & the…

A: Given: Surface area of cylinder(A)=160π in2            radius of cylinder(r)=5 in To find: (a)…

Q: has dimensions of 9 in., 10 in., and I ft. 21. Find the volume and the surface area of a "closed…

A: Solution Formula Volume =(length × breadth × height) Surface area =2(lb+lh+hb)

Q: What dimensions would you need to measure the volume of the following prism?

A: The area of a triangle is calculated as, Here, b is the base of the triangle, and, h is the…

Q: of a right rectangular prism topped with a rectangular pyramid. The dimensions of the prism are 38…

A: Given, A wedding tent is transformed into the shape of a right rectangular prism topped with a…

Q: 8.7 15 10 14. What is the Surface Area of this EQUILATERAL TRIANGULAR based prism? What is the…

A: Given problem:-

Q: 1. What is the volume of the cone with radius 7 yd and height 8 yd? Round to the nearest cubic yard.…

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Q: Is a Het for a triangular pyramid. 12.12 cm 14 cm If all the triangles are equilateral, what is the…

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Q: For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and…

A: a) The measure of the triangular base is 4 m, 5 m and 6 m and the altitude is 7 m. The lateral area…

Q: Find the volume of a pyramid whose base is a square with sides of length 4 units and which has a…

A: Given,  A pyramid  with square base of side length = 4 units  and Height = 10 units  We have to find…

Q: Consider the following. 13.0 cm 18.0 cm (a) Find the volume of the right circular cone (in cm³). cm…

A: Formula for finding volume of a right circular cone is,        Volume= (1/3) πr2h Where h=height of…

Q: Consider the following cube with a side length equal to 5 cm. Find the total surface area. S em…

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Q: 9. If the exact volume of a right circular cylinder is 200T cm³ and its altitude measures 8 cm, what…

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Q: A sphere is inscribed in a right circular cone whose slant height has alength equal to the diameter…

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Q: what is the surface area of the new box? What is the difference of the surface areas?

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