· The cube ABCDEFGH is given. The volume of the given cube is V. Find the volume of the intersection of the tetrahedrons AFCH and EBGD. Describe the solid obtained by intersecting the tetrahedrons.

Q: The art museum has a statue in the shape of a triangular pyramid. The dimensions of the statue are…

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Q: Determine the volume of the three-dimensional figure.

A: Note that, the volume of triangular prism is

Q: The volume of the solid is 254.5 cubed meters. Find the radius. 9 m

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Q: If you rotate rectangle  ABCD about CD, what is the volume of the resulting three-dimensional…

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Q: The altitude of a regular square pyramid is 4 cm. If the volume is 240 cm?. Find the total area of…

A: The volume, V , of a square pyramid is defined by the equation, V=13a2h . The total area, A , of a…

Q: The cube in the figure has an edge of 10 cm. Calculate the volume of the vertex BCDG tetrahedron and…

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Q: Solve THEN explain how to find the volume of the triangular prism. 5 cm 5 cm 8 cm 6 cm

A: It is given that,     We have to find the volume of triangular prism.

Q: What is the volume of a rectangular solid with dimensions 12, 9, and 6?a. 108 b. 216 c. 432 d. 648

A: The formula of the volume of the rectangular solid is, V=l×b×h where l, b, and h are the dimensions…

Q: Find the volume of the rectangular prism whose length, width and height are (x + 3) meter, (x – 3)…

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Q: Find the volume of the rectangular prism.

A: Given:  A rectangular prism with  length(l)= 3 units breath(b)=11 units height(h)=3 units To find…

Q: Find the volume of the triangular prism

A: Volume of triangular prism problem.....

Q: The diagonal of a cube is 2/3m. What is the volume of the cube? 16 m 8 m? O Option 1 O Option 2 64 m…

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Q: Find the volume of the triangular prism.

A: Area of triangular face    =  (1/2) × 7 × 35    =  122.5  mm2

Q: Find the answer that best matches the Volume of the triangular prism. 10 m 8 m 10 m 12 m 10 m

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Q: Find the volume of the hollow sphere 4 7.

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Q: Find the volume of the Sphere 5 m¸-

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Q: 4 2 8

A: Use the figure for the triangular prism to find the length l, height h and base b. From the figure,…

Q: A frustum of a regular triangular pyramid is inscribed in a frustum of a cone whose height and slant…

A: Let l be the slant height of the frustum of cone. ⇒l=13 cm Let h be the height of frustum of cone.…

Q: Find the volume of the square pyramid below

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Q: 2 m 3 m 2 m

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Q: Find the volume of the prism: 15

A: We have a rectangular prism whose length is 32 and height is 15 and width is 15. To find the volume…

Q: Find the volume of the rectangular prism. 3 yd D ya 6 yd 7 yd

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Q: The diameter of the base of a right circular cone is 8 cm and its altitude is 8 cm. Find the volume…

A: This question is based on application of similar triangles.

Q: The altitude of a regular square pyramid is 4 cm. If the volume is 48 cm. Find the total area of the…

A: The altitude of the regular square pyramid  h = 4 cm Volume of pyramid V = 48 cm3

Q: Find the volume of the prism. 6 cm 8 cm 4 cm Volume = %3D cm3

A: Volume of prism= 1/2×b×h×H

Q: A 2-scoop ice cream cone is made using two spheres of ice cream with a 4 inch diameter on top of a…

A: Given: Dia meter of sphere = 4 in Diameter of cone = 3 in Height of the cone = 6 in

Q: The volume of a sphere is 7 m². Find the area of the sphere.

A: given, volume of the sphere=323π m3 we have to find the area of the sphere.

Q: Find the volume of a sphere if the surface area is 484T cm2.

A: Given surface area of the sphere is 484π cm2. We know that surface area of sphere  A = 4πr2 where r…

Q: 10 m 4 m 6 m 12m

A: A rectangular pyramid is intersected by a plane to create the frustum shown. If the height of the…

Q: Find the volume of the cone. Give a simplified answer in terms of . 린 500 cm 48 x V32 cm V = t cm3

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Q: The cube ABCDEFGH is given. The volume of the given cube is V. Find the volume of the intersection…

A: A cube is a 3D figure which has 6 faces of squares, 8 vertices, and 12 edges. A tetrahedron is a 3D…

Q: The volume of the sphere with the radius 3 is = _ cubic units %3D 547

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Q: Find the volume of the given pyramid, which has a square base of area 9 and height 5.

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Q: pyramid

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Q: Find the volume of the cone. Give answer as an exact answer in terms of r. 56 m 65 m PERER.. ...

A: Here we have to find the volume of the cone,  Height of the cone h=56 cm  The slant height of the…

Q: Find the volume of the rectangular prism. 5 yd 5 yd 5 yd

A: Given :               length = 5               width = 5              height = 5 To find :…

Q: Find the volume of the sphere if the circumference of the great circle is 20n cm. Hint: C=2nr C 20…

A: To find the volume of the sphere if the circumference of the great circle is 20π cm. Solution: Given…

Q: 2)

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Q: The height of the pyramid is 9 m. The base of the pyramid is a 4m by 5m rectangle. The volume of the…

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Q: Find the volume of the rectangular prism. 10 cm 7 cm 9 cm Volume linate plane.

A: Calculate the volume of prism

Q: Find the volume of the pyramid

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Q: For the regular pentagonal base, each edge measures 3.2 cm and the apothem measures 2 cm. a) Find…

A: a) Find the area of the regular pentagonal base.

Q: Find the volume of this sphere. 8 ft V = = Tr3 %3D

A: Given a sphere. Its radius is 8 ft. We need to find the volume of the sphere. Let's start.

Q: Find the volume of the following shape. (What two solids are being added together??) I 20 m 14 m 8m…

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Q: 26 m 30 m

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Q: Find the answer that best matches the Volume of the triangular prism. 28 24

A: Volume = (area)×(height)

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: A popcorn container at a movie theater has the shape of a frustum of a pyramid. With dimensions as…

A: Given- To Find- The volume of the above popcorn container. Formula Used- The volume of the square…