A prism with height 2 m and a pyramid with height 5 m have congruenttriangular bases. Find the ratio of their volumes.

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

A: A regular square pyramid is shown below. From above figure, the dimension of edge of base is x. The…

Q: Find the height of an pentagonal pyramid with a volume of 652 ft³ and a base area of 120 ft². Height…

A: Find the height of the pentagonal pyramid with a volume 652 ft3 and a base area 120 ft2

Q: If a cylinder, a hemisphere and a cone stand on equal bases and have the same heights, what will be…

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Q: The base edge of a square pyramid is 3 m and its altitude is 10 m Find the area of the section…

A: Given,           The base edge of a square pyramid is 3 m and its altitude is 10 m.To find: The area…

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: 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: If the diameter of a sphere is 14 cm, then what is the curved surface area (in cm?) of the sphere?

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Q: In the regular pentagonal pyramid, each base edge measures 9.2 cm and the apothem of the base…

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Q: Two regular pentagons have the areas 147 ft2 and 12 ft2. What is the ratio of their perimeters?

A: Let the area of two pentagon be A1=147 ft2 and A2=12 ft2 To find the ratio of the perimeter.

Q: Find the surface area and volume of a square pyramid with side lengths of 24 in. and slant height of…

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Q: Three pipes, each of radius 4 in, are stacked as shown. What is the height of the stack?

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Q: Find the mid-section area of the prismatoid if its volume is 1200 cm3 the height is 18cm, the lower…

A: The volumeV=h6·U+4M+L of the prismatoid is

Q: A trapezoidal lawn has an upper base of 16 meters and a lower base of 30 meters. the distance…

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Q: Two regular octagons have perimeters 16 cm and32 cm, respectively. What is the ratio of their areas?

A: Given the perimeters of the reegular octagons are 16 cm and 32 cm. Thus for the first regular…

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 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 regular hexagonal pyramid whose base perimeter is 60 cm has an altitude of 30 cm, the volume of…

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Q: If the volume of a square-based pyramid is 96 m with a base length of 12 m, then what is its height?…

A: Solve the following

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

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Q: The base of an oblique prism is a trapezoid whose bases measure 5 cm and 8 cm. The height of…

A: The trapezoid based oblique Prism.  JE = 10cm   (center to center distance) 4cm = base height…

Q: The volume of a circular cylinder is 1280A m³, and its height is 5 m. What is the radius of its…

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Q: Find the surface area and volume of a triangular pyramid that has a slant height of 15, a height of…

A: We have to find area and volume

Q: What is the surface area of a regular pentagonal pyramid with base side length of 8 cm, apothem of…

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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: What is the ratio of the volume of a cone to the volume of a cylinder, if both have a radius of 8…

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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: 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: 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: If a right triangle is formed by the placement of three squares, what is the area of the shaded…

A: Given that three squares are arranged such that a right angled triangle PBD is formed. We need to…

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: A train car is in shape of a right rectangular prism and has a volume of540 ft as shown

A: Suppose, the height of the train car is, h feet  It has length 12 feet and breadth 4.5 feet

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

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Q: The lateral edge of a square prism is 20cm long and it is inclined at an angle of 60 degrees with…

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Q: What is the volume of a regular hexagonal pyramid with base side length of 6 cm, apothem of 5.2 cm,…

A: Given, Base side length, l= 6cm,Apothem, a=5.2 cmHeight, h=15 cm

Q: If the areas of three adjacent face of a cuboid are 8cm2 , 18 cm2 , 25 cm2 .Find the volume of the…

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Q: Find the area of the base of a regular square pyramid whose lateral faces are equilateral triangles…

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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: A regular hexagonal pyramid has a slant height of 4 cm and the length of each side of the base is 6…

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Q: What is the best approximation of the volume, in cubic units, of a pyramid of height 4 and a square…

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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: find the volume and the surface area of a square pyramid with a slant height of 5.22ft, hight of 5ft…

A: Given square pyramid with a slant height of 5.22ft, hight of 5ft and sides of 3ft

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

A: Given figure:-

Q: What is the volume of a regular hexagonal pyramid with base side length of 6 cm, apothem of 5.2 cm,…

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Q: 3.) Find the surface area and volume of a square pyramid with side lengths of 24 inches, and a slant…

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Q: If two prisms have equal volumes, must they also have equal total areas?

A: Given that  two prisms have equal volume. We need to check whether they have equal total area.

Q: Find the volume of the cone given its radius is 4 cm and its slant height of 6 cm. If necessary,…

A: Given query is to find the volume of the cone.

Q: 25 in. 24 in. 15 in.

A: Formula of Lateral area, AL=12×PB×HS For pentagonal pyramid, PB=5a HS=h2+1205+25a2

Q: A spherical segment has a height of 5 cm. If its volume is 90 cubic centimeters, what is its…

A: Consider the given figure. Given that height of the spherical segment h=5 cm And volume V90 cubic…

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

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