Calculate the total area of the truncated tetrahedron knowing that its edge measures 12 cm.

Q: A big cube is made of 216 smaller cubes of length 1 cm. If the centre cube on each face and all…

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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: What is the edge length of a cube with a volume of 1 L?

A: Volume of a cube is 1 L.

Q: Two identical cubes each of total surface area of 294 cm² are joined end to end. What is the total…

A:

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: 4. Find the area of the largest isosceles trapezoid inscribed in a semicircle of radius 4 inches if…

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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: 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 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: Find the area of the largest isosceles trapezoid inscribed in a semicircle of radius 4 inches if its…

A: Area of trapezoid

Q: The base of the pyramid is 72 cm, and the length of TP = 15 cm. The volume of the pyramid is..

A: Let B be a base B=72cmLet h be a length of TP h=15cmVolume of pyramid =13Bh=13×72×15=360 cm3

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: How many spherical balls can be made out off a solid cube of lead whose edge measures 66 cm and each…

A: Volume of cube is equal to volume of lead balls.

Q: find the area of a regular octagon with side length of 10 cm

A: Given,         The side length is 10 cm.We know that,         The area of a regular octagon with…

Q: Find the total area (surface area) of a regular dodecahedron (12 faces) if the area of each face is…

A: As we know, The dodecahedron is a regular polyhedron of 12 faces. If the mentioned faces are regular…

Q: Determine the volume of the frustum of a square pyramid with base areas 17 sq. cm. and 96 sq cm…

A: Determine the volume of the frustum of a square pyramid with base areas 17 sq. cm. and 96 sq cm…

Q: What is the length of the sides of a cube with surface area of 54 m Square?

A: We know, Surface Area of a Cube = 6a2 where a = length of the sides of the cube

Q: Find the total surface area of a frustum of a right square pyramid whose upper and lower base edges…

A: To find out the total surface area of a frustum of a right square pyramid.

Q: Find the volume of a square pyramid with a height of 11 m and base edges of 4 m. m3 (Round to the…

A: We have to find the volume of square pyramid of height 11 m and base edges of 4 m. Formula Used -…

Q: Find the volume of a pyramid with an equilateral triangle base of length 2 on each side, and height…

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Q: Find the total area (surface area) of a regular hexahedron if each edge has a length of 4.2 cm.

A: here we have to find the total area (surface area ) of a regular hexahedron ,  each edge has a…

Q: find the volume of a right pyramid whose altitude is 50 meters and whose base is a square with sides…

A: Given: altitudeh=50m, base lengtha=30m We know that volumeV of square pyramid is given by V=13a2h…

Q: These 3 congruent square pyramids can be assembled into a cube with side length 1 foot. What is the…

A: According to question given thatThese 3 congruent square pyramids can be assembled into a cube.Side…

Q: Determine the volume and the lateral area of a truncated right square  whose base edge is 4in and…

A: Given that a truncated right square has base edge 4in and lateral edges measure 6in, 7in, 9in and 10…

Q: A rectangle has a perimeter of 100 cm. What dimensions will give the biggest area?

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Q: determine the surface area of an octahedron with edge equal to 5cm.

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Q: Find the volume of a pyramid with height 21 and rectangular base with dimensions 2 and 12.

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Q: Find the surface area and volume of a 10-cm-high right prism with triangular bases having 18-cm…

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Q: A piece of cardboard 4 ft by 4 ft will be made into an open topped box by cutting squares out of…

A: Summary... Cut should be of size  2/3 ft

Q: Find the volume of a regular tetrahedron whose edge measures 10 m.

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Q: What is the surface area of an octagonal pyramid with slant height 16cm and whose side of octagon…

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Q: A solid cube of metal whose edges are 22 cm is melted and recast into rectangular solid whose base…

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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: Find the edge of a cube whose volume is equal to that of a rectangular bar measuring 126 cm long, 4…

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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: he face of the right triangular

A: Given,

Q: The volume of a triangular pyramid is 300 cubic meters. What is the area of the pyramid's base if…

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Q: Find the volume of a regular hexagonal pyramid with height 8 cm andbase edges 6 cm.

A: To find the volume of a regular hexagonal pyramid with height 8 cm andbase edges 6 cm. Given base…

Q: Two identical cubes each of total surface area of 294 cm are joined end to end. What is the total…

A: Given,           Two identical cubes each of total surface area of 294 cm2 are joined end to end. To…

Q: what is the edge length of a dodecahedron with a volume of 958 cubic inches

A: Given : volume of dodecahedron is 958 cubic inches . To find the edge length

Q: Find the volume of a regular octahedron whose edge measures 6 m.

A: Given :- Side of octahedron = 6m .  To find :- volume of octahedron

Q: These 3 congruent square pyramids can be assembled into a cube with side length 2 feet. What is the…

A: Let's find.

Q: A lead pencil whose ends are regular hexagons was cut from a cylindrical piece of wood, with the…

A: It is given that the diameter of the cylindrical piece of wood is 0.5 in. Then the side length of…

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: What is the volume of the largest cone having its circular base circumscribed about a face of a…

A: Given: Diamensions of rectangular parallelepiped are 2ft by 3ft by 4ft. To determine: Volume of the…

Q: ron whose edge measures 6 m

A: Given that the edge measure of a regular icosahedron is 6m.