A circular piece of sheet metal has a diameter of 20 in. The edges are to be cut off to form a rectangle of area 160 in2 (see figure). What are the dimensions of the rectangle?

Q: An equilateral triangle has an area of 18v3 in². A regular hexagon has side lengths equal to that of…

A: Solution ) area of equilateral triangle = √3 a2/ 4 18 √3 = √3 a2/ 4 18 = a2/4 18×4 = a2 72 = a2 a =…

Q: A cone has a base area of 7 pi square cm and a height of 9 cm. What is the volume of a triangular…

A: The naming of the pyramids is based on the number of sides of the base. If the base has 3 sides that…

Q: shown in

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Q: Suppose the pentagon below represents the base of a pentagon prism that has a height of 8 inches.…

A: We need to find area of pentagon and then multiply it by height to get volume of solid .

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

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Q: 1. Find the volume and total area of a rectangular parallelepiped which is 15 ft high and the side…

A: Explanation of the answer is as follows

Q: The net of a rectangular prism and its dimensions are shown in the diagram. 7.5 in. 7.5 in. 3 in. 3…

A:

Q: The image below shows a square pyramid being pushed into the corner of a box. If the pyramid has a…

A: We need to find volume of pyramid.

Q: A wooden article was made by scooping out a hemisphere from each end of a solid cylinder as shown in…

A:

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

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Q: A flower pot has a vertical front view as in Figure 6. The outer surface is to be painted. 5 cm 7 cm…

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Q: The bases of a right prism is a hexagon with one of each side equal to 6 cm. The bases are 12 cm…

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Q: Assuming a soap bubble is a perfect sphere, what is the diameter of a bubble containing 1,200 cm3 of…

A: In this question the volume of spherical water bubble is given and we have to find the diameter of…

Q: If an open box is made from a square tin sheet 12×12 in. by cutting an identical squares from each…

A: in this question, there is an open box made by 12*12in  tin sheet For the box to be of the largest…

Q: A sphere is designed to have a volume of 500 cm3, to the nearest 10 cm3. Find the boundaries…

A: Volume of sphere=43πr3If V is to be rounded off to 500, to the nearest 10,then, minimum value of V =…

Q: A thin wire used to frame a triangle with sides 2 in, 3 in, 4 in, is bent to form a circle. What is…

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Q: If a cube has a surface area of 216 cm2, what is its volume?

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Q: A 6 cm by 15 cm by 18 cm rectangular prism is cut into three pieces that are 1/2, 1/3, and 1/6 of…

A: We know that, Area of base = length*breadth and Area of walls = 2(length + breadth)*h where h is the…

Q: Consider the regular hexagon shown on the coordinate plane. To the nearest whole number, what is the…

A: Given ,  Regular hexagon with coordinates ,  (-4,0) , (-2,3.5) , (2,3.5) , ( 4,0) , ( 2,-3.5) and…

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

A: Given: A sphere is inscribed in a cone whose slant height equal to diameter =12 cm

Q: Suppose that each of the bases of the hexagonal prism below has an area of 14 cm2 and that each…

A: Mensuration Question

Q: Suppose that each of the bases of the triangular prism in Exercise 2 has an area of 3.4 cm? and that…

A: Consider the given: Find the volume of Prism: The Volume of Prism = Base Area ×height It is given…

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: Suppose that each of the bases of the hexagonal prism below has an area of 16 cm2 and that each…

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Q: Suppose that each of the bases of the hexagonal prism below has an area of 15 cm2 and that each…

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Q: Given a sphere of radius 10 ft, what is the volume of the largest cylinder which can be inscribed in…

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Q: What is the radius of a hemisphere with a volume of 165 cm³, to the nearest tenth of a centimeter?

A: Given: Volume of the hemisphere=165 cm3

Q: 1. What is the volume of a pipe with a height of 15 meters and a radius of 12 meters?

A: Since you have asked multiple questions in a single request, we would be answering only the first…

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

A: Volume of the right circular cylinder is πr2h, where r-radius and h-height

Q: Given a sphere with a diameter of 10 cm, find its volume to the nearest whole number.

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Q: The dimensions of a pasta box are 14in by 1.5 in by 3 in. what is the surface area of the box?

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Q: An Ice cream cone is 10 centimeters deep and has a diameter of 8 centimeters. A scoop of ice cream…

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Q: A sphere is cut by two parallel planes 3 cm apart, in such a way that the radius of the upper…

A: Given ,  A sphere is cut by two parallel planes 3 cm apart, in such a way that the radius of the…

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: The image below shows a square pyramid being pushed into the corner of a box.If the pyramid has a…

A:

Q: From an 8.5 inch by 11 inch piece of cardboard 2 inch square corners are cut out and the resulting…

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Q: The exact volume of a right circular cone (not shown) is 32n in'. If the length of the base radius…

A: Given: volumev of right circular cone is 32π in3 We know that volumev of right circular cone is…

Q: What is the smallest perimeter possible for a rectangle whose area is 16 in2, and what are its…

A: Let l be the length and b be the breadth of the rectangle.

Q: rectangle

A: The diameter of circular sheet will be equal to the diagonal of of rectangle.

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

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Q: If the volume of a sphere is 36TT, what is the radius of the sphere?

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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: Find the area (in squared units) of the largest trapezoid that can be inscribed in a circle of…

A: Given: The radius of circle is 3 units. The base is the diameter of the circle.

Q: The volume of a right circular cone is 967 in'. If the radius of the base measures 6 in., find the…

A: Since, we have been given that the volume of a right circular cone is 96π inch3.Also, we have been…

Q: The surface area of a right rectangular prism is 228 cm?. If the base is 4 cm x 6 cm, what is the…

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Q: Find the volume of a right circular cone that has a height of 10.5 in and a base with a…

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Q: 1. Find the volume of a regular octahedron if one edge is measured as 10 cm.

A:

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.