The base edge of a square pyramid is 3 m and its altitude is 10 m Find the area of the section parallel to the base and 6 m from it.

Q: A right pyramid 10m high has a square base of which the diagonal is 10m. Find the area of the…

A: Geometrical  pyramid  Area is   150 square meter

Q: A rectangle has an area of 180 cm2 and a perimeter of 54 cm. What are its dimensions?

A: We have, a rectangle has an area of 180 cm2 and a perimeter of 54 cm. Let us consider that the…

Q: The diagonal of a cylinder measures 5m and its diameter is 3m. What is the lateral area of the…

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Q: The volume of a cylinder is 72 m and the radius is 3 m. What is the height of cylinder?

A: GivenVolume of the cylinder = 72 m^3and Radius of the cylinder = 3 m

Q: A gazebo is built in the shape of a regular octagon. Each side is 8ft long and the enclosed area is…

A: Given,          A gazebo is built in the shape of regular octagon . Each side is 8 ft long…

Q: A rectangular parcel of land is 70 ft. longer than it is wide. Each diagonal bewteen opposite…

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Q: circle is divided into two parts by a chord, 3 cm away from the center. Find the a of the smaller…

A: Topic:- area of circle

Q: The pyramid shown has a square base with sides 10 cm and the other edges all 13 cm long. Find the…

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Q: The area of the whole surface of a cone is 64 sq. m. and the slant height is 5 times the radius of…

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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: Find the surface area of a square pyramid with side length 5 cm and slant height 6 cm.

A: Given figure is

Q: A right triangular prism has lateral area 120 cm2 If the base edges are 4 cm, 5 cm, and 6 cm long,…

A: The lateral surface area is 120cm2 Base edges are 4cm, 5cm, 6cm To find height of the prism

Q: The barn is symmetrical. On each side of the barn, we have "roof A" and "roof B" which are both…

A: Given query is to find the area of roof B.

Q: The ratio of the lengths of the radii of two similar cones is 3:5. What is the ratio of the surface…

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Q: Find the surface area of a square pyramid with side length 5 cm and slant height 4 cm.

A: The base of the square pyramid is 5 cm. The slant height of the square pyramid is 4 cm. The area of…

Q: The Great Pyramid of Giza has a square base which measures 230 m on each side. The slant height of…

A: The square pyramid consist of a square base and 4 side triangles. But only the triangles are…

Q: Find the surface area of a square pyramid whose side length of the base is 9 cm and has a slant…

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Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A: we should find the height of the rectangle such that the window will admit the most light.

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: A

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Q: A cylinder with radius 7 has total area 168π cm2 Find its height.

A: Given: A cylinder with radius 7 has total area 168π cm2 To determine: Height of the cylinder.

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: The foyer planned as an addition to an existing church is designed as a regular octagonal pyramid.…

A: From given, each side of the octagonal floor is 10 ft and length of apothem is 12 ft. Lateral area…

Q: The base of a right prism is a rhombus one side of which is 10 cm, and the shorter diagonal is 12…

A: We will find the volume of the right angle prism in the following step.

Q: The sum of the radii of the bases of a frustum of a cone is 7 cm. If it has an altitude of 6 cm and…

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Q: A right square pyramid has 15 cm on a side of its base ana an altitude of 18 cm. Find the area of a…

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Q: A right rectangular prism has a height of 12 cm and a base of 8 cm by 10 cm. The prism is cut…

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Q: The ends of a trough are equilateral triangles having sides with length 4 ft. Determine the area of…

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

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Q: The sides of an equilateral triangle 6 cm long. Calculate the vertical height of the triangle. are

A: The vertical height (h) of an equilateral triangle is given by the formula: h=32a,  where a is the…

Q: A regular hexagonal pyramid has one lateral edge which measures 10 cm. The length of one side of the…

A: Let's find.

Q: A chord of a circle 0.65 m from the center is 1.25 meters long. What is the area of the circle?

A: Given that a length of the chord AC is 1.25 m of a circle centered at O is located in a distance…

Q: Find the area of a trapezoid with an altitude of length 4.2 m and a median of length 6.5 m.

A: Formula use: Area of a trapezoid whose altitude has length h and median has length m is A=hm.

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: Find the total surface area of a triangular pyramid. The base is regular with one side equal to 6 cm…

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Q: The acute angles of a symmetrical trapezium are 60 ° , its legs are 12 cm long and the perimeter is…

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Q: What is the lateral area of a regular hexagonal pyramid with a side length of 6 meters and a slant…

A: We have to find the lateral area of a regular hexagonal pyramid with a side length of 6 meters and a…

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: 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: A regular octagonal pyramid has base edge 3 m and lateral area 60 m 2 Find its slant height

A: Given  A regular octagonal pyramid has base edge 3 m and lateral area 60 m 2 .

Q: An isosceles triangle has a base of /20 m. Each of the equal sides is 3/7 m long. What is the exact…

A: Using formula of area of isosceles triangle

Q: The lateral area of a pyramid with a square base is 240 ft2. Its base edges are 12 ft long. Find the…

A: Given, Area of the pyramid with a square base is 240 feet2, base 12 feet To find the height of the…

Q: An isosceles trapezoid has an area of 40m² and a height of 2m. Its two bases have ratio of 2:3. What…

A: given            Area of trapezoids(A)=40 m2  height (h)= 2 m base ratio  a : b = 2 : 3  Find…

Q: An architect is designing a composite window by attaching a semicircular window on top of a…

A: Given:- An architect is designing a composite window by attaching a semicircular window on top of a…

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: What is the surface area of a square pyramid with base side length of 15 cm and slant height of 5…

A: The objective is to find the surface area of a square pyramid

Q: The covering on a teepee rests on poles that come together at one point at the top. The resulting…

A: In the above question we have to find how much fabric is required for the covering of teepee which…

Q: The total surface area of a frustum of a right circular cone is 436πcm^2, and the base areas are…

A: If a cone is cut by a plane parallel to the base of the cone, then the portion between the plane and…

Q: An isosceles trapezoid has an area of 40m² and a height of 2m. Its two bases have ratio of 2 : 3.…

A: The isosceles trapezoid is a trapezoid with the non-parallel sides being equal. The area of an…

Q: Two regular petagon each with 6 cm sides overlapped each othe such that the overlapping area is a…

A: A decagon is a ten sided polygon.  The area of regular decagon with side a is given by