5. A pattern of icosahedrons is shown below. If this pattern continues, which of the following properly describes the number of icosahedrons on the 15th level? (1) Between 40 and 50 thousand (2) Between 90 and 100 thousand (3) Between 9 million and 10 million (4) Above 25 million Level 1 Level 2 Level 3

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: Name the following polyhedron.

A: according to classification of polygon, given polyhedron is a pyramid

Q: How many vertices, faces, and edges are in the polyhedron to the right? List them. A E How many…

A:

Q: 1. A convex polyhedron is a 3 dimensional geometric figure made up of faces, each of which is a…

A: The complete solutions are given below 1(a)

Q: A regular polygon of n -sides has ............... number of lines of symmetry

A: A polygon is a two dimensional shape with all the sides are joined . In a polygon all the sides are…

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: Check your conjecture for Euler's Formula (activity 3a in this activity set) on the two polygon…

A: The Euler's formula is: V-E+F=2 where, V is the number of vertices, E is the number of edges and F…

Q: 2. What are the vertices of ABC after the dilation of a scale factor 2?

A: The coordinate of A are, (2,-1) The coordinate of A after dilation by 2 are, A'=2×2,-1×2=4,-2

Q: 11. A geodesic sphere is a structure built from triangles, with varying numbers meeting at each…

A: Given that the geodesic sphere has 100 triangular faces. The formula to calculate the number of…

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: A polyhedron (not regular) has 14 vertices and 21 edges. How many faces must it have?

A: Given that a polyhedron has 14 vertices and 21 edges. We need to find how many faces does the…

Q: Every polyhedron contains faces, edges, and vertices. O True O False

A: Polyhedron is a three dimensional solid with straight edges and flate sides. The edges of the…

Q: 9. A polyhedron (not regular) has 14 vertices and 21 edges. How many faces must it have?

A:

Q: Mr. Brown asked Melissa to determine how many edges make up this polyhedron. What answer should she…

A: Given polyhedron, To be found : Total number of polyhedron

Q: You want to create a cylinder having a diameter of 14 units with a hole in it with a 4 unit di-…

A: we need a cylinder of outer diameter of 14 units and inner diameter of 4 units

Q: A partial drawing of a closed polygon is shown here. To close the polygon two additional sides will…

A: Solution-

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

A: Solve

Q: Imagine a pyramid with a pentagon base. How many of these will it have? a. Faces b. Edges c.…

A: The pyramid have Pentagon base. The figure is

Q: 5. Find the area of the section ABCD as shown in the figure if A, B, C, and D are one-third from the…

A:

Q: Which of the following figures is NOT a polyhedron?

A: given,

Q: Which of the following correctly shows the number of faces, edges, and vertices of the triangular…

A:

Q: For each of the 5 regular polyhedra, recall that one can inscribe a polyhedron inside as follows.…

A: Given: Three points in a plane, such that two half lines are constructed as in the following…

Q: An icosidodecahedron is a convex polyhedron with 20 triangular faces and 12 pentagonal faces. How…

A:

Q: 8. What are the name of the solids? ALSO, Find how many Faces, Vertices, and Edges they have.

A:

Q: The diagram below represents a net from which a dice with four faces can be made to use in a…

A: This can be solved by ensuring that the symbols on the faces of the tetrahedron are in the sequence…

Q: 10. What polygon forms the base of a hexagonal pyramid?

A: A hexagonal pyramid is a geometrical figure that has hexagon base and 6 isosceles triangles

Q: Starting with a cube with edges of length 2, the corners are cut-off to form a cuboctahe-dron. To do…

A: Given: A polyhedron having 8 triangular faces and 6 square faces are known as a cuboctahedron. A…

Q: Consider the triangular prism shown. (a) How many vertices does it have? (b) How many edges (lateral…

A:

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

A: We solve the question by using Euler's formula F + V - E=  2, where F is the number of faces, V the…

Q: The Sierpinski triangle is a fractal created from an equilateral triangle. At each stage, the…

A: This question can be solved suing the concept of geometric progression.

Q: 40. What solid is generated if the polygon with vertices A(3,1), B (9,1) & C (3,7) is rotated about…

A:

Q: Complete Euler's Formula for each polyhedron. #7 * 7. 9 +8 = 15 + 2 O 7+ 10 = 15 + 2 8+4 = 10 +2 O…

A:

Q: How many edges does a tetrahedron have ?

A:

Q: What is the reason that the regular tetrahedron  and the cube do not have first stellations?

A: Stellation is the process of extending a polyhedron to form another larger polyhedron. It extends…

Q: Use Euler's Formula to find the number of vertices in the given polyhedron. 5 faces: 1 rectangle and…

A: Euler's formula  V-E+F=2 Where   is the number of vertices, E is the number of edges, F is the…

Q: 8. A rhombus is a 4-sided polygon that has four congruent sides. Prove that opposite sides of a…

A:

Q: How many vertices, faces, and edges are in the polyhedron to the right? List them. C H. How many…

A:

Q: Consider the following pyramid with square base formed by the four points (1, 1,0), (1, –1,0),…

A:

Q: 1. A) Is it a polyhedron? (Yes or No) B) What the name of polyhedron if it has one? C) How many…

A: 1)yes polyhedron (a flat-sided solid object) with 5 Faces. b) Pentahedron C) 5 faces   D)  5…

Q: 4.3 A barn is constructed as follows: The room space is constructed as a right rectangular prism…

A:

Q: How many side does a tetrahedron have ? How many number of edges which meet at a vertex does a…

A:

Q: Prisms and pyramids are both polyhedrons. O True O False

A: Polyhedron is a three dimensional solid which consists of flat faces, straight edges and vertices.…

Q: Draw the NET of the following shapes on graph paper. Let each box represent 1 square cm. A cuboid…

A: Given

Q: 14. 15. 13. 14. Mathematics in the Modern World 15.

A: Given : Solid structure is given

Q: A cube has 12 edges.  A cube has pyramids cut from each corner by passing planes through the…

A: Visualize the cube, after the triangular-faced pyramids are cut-off from all the four corners of…

Q: Suppose a triangle with the vertices (–1, 4), (–1, –2), and (2, –2) were dilated, with the center of…

A: Given  The triangle with the vertices (–1, 4), (–1, –2), and (2, –2) . Scale factor is 2 Dilation is…

Q: 1. Find the orthocentre of the triangle with vertices at P(-3, 4), Q(10, -3), and R(3, -2).

A: Ortho center of a triangle is the point where all the altitudes of the triangle meets. That point of…