Indicate which polyhedron is obtained by truncating the edges of a dodecahedron in half and indicates the number of faces, edges and vertices it has.

Q: 5. How many rectangles would the net of a pentagonal pyramid have?

A: The net of a pentagonal pyramid consists of two pentagons and five rectangles .

Q: A polyhedron has 6 faces and 7 vertices. How many edges does it have?

A: Polyhedron is a three dimensional solid structure formed by joining polygons. Let F be the number of…

Q: Could a polyhedron exist with the given number of faces, vertices, and edges? Drag "yes" or "no" to…

A: there are given faces, vertices and edges. we have to find which polyhedron exists. we know the…

Q: Could a polyhedron exist with the given number of faces, vertices, and edges? Drag "yes" or "no" to…

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Q: Find the volume of the tetrahedron with the given vertices. (1, 0, 0), (0, 2, 0), (0, 0, 1), (1, 2,…

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Q: Find the volume of the tetrahedron having the given vertices (3, -3, 1), (3, -2, 4), (1, 1, 1), (0,…

A:

Q: A polyhedron has 6 edges and 4 vertices. How many faces does it have ?

A: By Euler formula  F+V = E +2  F = Number of Faces  V = Number of vertices E= Number of Edges

Q: Find the volume of the tetrahedron having the given vertices. (4, –4, 1), (4, –3, 4), (1, 1, 1), (0,…

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Q: Find the edge length of the cube. Volume 216 in.3 %3D

A: Solution: The objective is to find the edge length of the cube

Q: Find the volume of the tetrahedron with the given vertices.(1, 1, 1), (0, 0, 0), (2, 1, −1), (−1, 1,…

A: The vertices of tetrahedron are A(1, 1, 1), O(0, 0, 0), B(2, 1, −1),C (−1, 1, 2) Then,

Q: Construct a polyhedron that has 9 edges.

A:

Q: A polyhedron has 9 faces and 21 edges. How many vertices does it have ?

A: A polyhedron has 9 faces and 21 edges. F=9 and E=21. The objective is to find the number of vertices…

Q: A polyhedron has 12 faces and 30 edges. How many vertices does it have ?

A: Given,            A polyhedron has 12 faces and 30 edges.

Q: Find the volume of the tetrahedron with the given vertices.(1, 0, 0), (0, 1, 0), (0, 0, 1), (1, 1,…

A: We have given the vertices of tetrahedron; (1, 0, 0), (0, 1, 0), (0, 0, 1), (1, 1, 1) Since volume…

Q: Find the area of the polygon with the given vertices. N(- 2, 1), P(3, 1), Q(3, – 1), R( – 2, - 1)

A: Given points are: N(-2,1), P(3,1), Q(3,-1) and R(-2,-1). The objective is to find the area of a…

Q: Three metallic solid cubes whose edges are 3 cm , 4cm , 5cm are melted and formed into a single cube…

A: Given three metallic solid cubes whose edges are 3 cm , 4 cm and 5 cm are melted and formed into a…

Q: Find the volume of the tetrahedron with the given vertices.(−3, −3, −3), (3, −1, −3), (−3, −1, −3),…

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Q: Find the volume of the tetrahedron with the given vertices. (4, 0, 0), (0, 4, 0), (0, 0, 4), (4, 4,…

A:

Q: does a 12-sided co

A: Here we have to find the number of diagonals of a 12-sided convex polygon.

Q: what are the possible dimensions of their largest rug?

A: The length of the smaller rug = l = 3 feetThe breadth of of the smaller rectangle = b = 2 feetLet…

Q: 4 - Find the volume of a parallelepiped if four of its eight vertices are A(0, 0, 0), B(1, 2, 0),…

A: The given vertices are: A = (0, 0, 0) B = (1, 2, 0) C = (0, -3, 2) D = (3, -4, 5)

Q: Find the total area of a frustum of a Regular hexagonal pyramid with the base edges of 6 cm and 8…

A: Base edges 6cm and 8cm and an altitude of 12cm

Q: Every n-gonal pyramid has n + 1 lateral edges. Is the statement true or false..

A: Solve

Q: Find the volume of the tetrahedron with the given vertices.(3, −1, 1), (4, −4, 4), (1, 1, 1), (0, 0,…

A: Find the vectors representing the edges of the tetrahedron.

Q: All nine edges of a right triangular prism are congruent. Find the length of these edges if the…

A: Solution: Consider the given right triangular prism. Also, it is given that the volume is 543 cm3 We…

Q: A polygon has n sides. Two of its sides are right angles while the remaining each side is 144…

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Q: Find the volume of the tetrahedron with the given vertices.(0, 0, 0), (0, 2, 0), (3, 0, 0), (1, 1,…

A: The given vertices of a tetrahedron are (0,0,0), (0,2,0), (3,0,0) ,(1,1,4)

Q: Compute the area of the polygon with vertices at (6,1) (3,-10) (-3,-5) and (-2,0)

A: To Compute the area of the polygon with vertices at (6,1) (3,-10) (-3,-5) and (-2,0)

Q: A company makes unusually shaped imitation gemstones which are polyhedrons. One gemstone had 10…

A: Given that a company makes unusually shaped imitation gemstones. One gemstone had 10 faces and 12…

Q: For a regular tetrahedron, find the number of faces, vertices, and edges in the polyhedron. Then…

A: Given- A regular tetrahedron. To find- The number of faces , vertices and edges and then verify the…

Q: wooden pyramid of altitude h is to be sawed into three parts of equal weight. How far from the…

A: Consider the pyramid with rectangular base. Let base length=l, base width=w Given altitude = h…

Q: 1. Cross out all the figures that do not illustrate polygon. After identifying the polygons,…

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Q: What is the area of the figure with the vertices (1,4) (4,8) (8,5) (5,1)

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Q: 1. Find the total area and volume of frustum of regular square pyramid, whose base have sides 10 cm…

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Q: How many small cubes with edge of 20 cm each can be just accomodated in a cubical box of 2 m edge

A:

Q: Determine the number of ways in which the faces of a regulardodecahedron(regular 12-sided solid) can…

A: First of all, let's understand what a regular dodecahedron (regular 12-sided solid) is?

Q: It is possible for a right hexagonal prism with a volume of 840 cubic feet to have which of these…

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Q: Find the volume of the tetrahedron with the given vertices. (-3, –3, –3) (3, –1, –3), (-3, –1, –3),…

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Q: It is possible for a right hexagonal prism with a volume of 840 cubic feet to have which of these…

A: Given that :-  *  Right hexagonal prism with volume of 840             cubic feet Volume is given in…

Q: Find the volume of the tetrahedron with the given vertices.(5, 4, −3), (4, −6, −4), (−6, −6, −5),…

A: The vertices of the tetrahedron are: A(5, 4, −3), B(4, −6, −4), C(−6, −6, −5), D(0, 0, 10) We need…

Q: 33.) Use Euler's Formula to find the number of vertices in the polyhedron with 10 faces, 8…

A: Euler’s formula for any polyhedron is, F + V – E = 2 Where F stands for number of faces, V for…

Q: 26. Find the area of the polygon whose vertices are (2, -6), (4, 0), (2, 4), (-3, 2), (-3, 3).

A: Given: the vertices of a polygon are (2, -6), (4, 0), (2, 4), (-3, 2), (-3, 3). To be find: the area…

Q: 2. Find the volume of tetraherdon with the vertices A(-1, 2,0), B(0,3,-1), C(3,3,0), and D(1,1,-1).…

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Q: Nicholas drew a figure to find a cross section of an icosahedron, a polyhedron with 20 faces. What…

A: Answer is mentioned below

Q: Find the volume of the tetrahedron with the given vertices. (4, 0, 0), (0, 2, 0), (0, 0, 1), (4, 2,…

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Q: Define a polyhedron with 20 faces ?

A: We have to define a polyhedron with 20 faces.

Q: The total number of sides of the two polygons is 15, and the sum of the number of their diagonals of…

A: Let's find.

Q: how many sides does a convex polygon with 324 diagonals have?

A:

Q: Find the area of the polygon with vertices P(-5, 4), Q(2, 4), and S(1, –1). 61 -6 -5-4-3 -31 -4 -5…

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Q: Find the number of vertices, edges, and faces of the given polyhedron

A: Vertices: The  corners Faces: The sides of the shape Edges: Where the faces meet