Answer the following. (a) A pyramid has 24 faces. How many lateral faces does it have? lateral faces (b) A pyramid has 409 faces. How many edges does it have? edges

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: A triangle has two sides of length 13 and 18. What is the largest possible whole-number length for…

A: Given,          A triangle has two sides of length 13 and 18.

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…

A:

Q: How many triangles can you make using 6 non collinear points on a plane?

A: we have to solve above question

Q: Is there a regular polygon with 12 diagonals? If so, how many sides does it have?

A: Given The number of  diagonals of a regular polygon is 12 . Then, the number of sides of polygon…

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: A regular pyramid that has five faces can be a square pyramid. O True O False

A: Given: A regular pyramid has 5 faces

Q: A triangle has two sides of length 19 and 19. What is the largest possible whole- number length for…

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: 3. Find the sum of the interior angles of a regular pentagon.

A: Given,           Regular pentagon.

Q: A soccer ball has 32 faces, each of which is a regular pentagon or hexagon. Because of the angles…

A:

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: Consider the triangular prism shown in Exercise 2. a) How many vertices does it have? b) How many…

A: A triangular prism is as shown below :

Q: How many triangles are formed by drawing all the diagonals from a single vertex?

A:

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

A:

Q: Write a formula that connects the number of sides of the base, S, with the number of edges, E.…

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Q: 4. A Sierpinski triangle can be created by starting with an equilateral triangle, breaking the…

A:

Q: does a 12-sided co

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

Q: A triangle has two sides of length 8 and 15. What is the largest possible whole-number length for…

A: The sum of any two sides of a triangle is always greater than the other side.

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: A triangle has two sides of length 12 and 11. What is the smallest possible whole-number length for…

A: Given data is : A triangle has two sides of length 12 and 11. To find the smallest possible whole…

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

A:

Q: A triangle has two sides of length 12 and 20. What is the smallest possible whole- number length for…

A: Explanation of the solution is given below....

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: A polyhedron (not regular) has 10 vertices and 6 faces. How many edges does it have? edges

A:

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: What is the distance in cm between two vertices of a cube which are farthest from each other if the…

A: We need to find the distance between  two vertices of a cube which are farthest from each  other if…

Q: A triangle has two sides of length 10 and 20. What is the smallest possible whole- number length for…

A:

Q: How many triangles can be made if the vertices are from three of the six points on the circle? One…

A: out of the six points on the circle.

Q: A polyhedron (not regular) has 11 vertices and 9 faces. How many edges does it have?

A: We have to find edges

Q: The base of a pyramid has n sides.  a. how many lateral faces does it have? b. how many faces does…

A: The base of a pyramid has n sides

Q: A triangle has two sides of length 14 and 5. What is the smallest possible whole-number length for…

A: A triangle has two sides of length 14 and 5. What is the smallest possible whole-number length for…

Q: Use Euler’s Formula to find the missing number of faces, edges, and vertices a) Faces = ?, Edges =…

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

Q: A triangle has two sides of length 17 and 4. What is the largest possible whole-number length for…

A: Recall:  In a triangle, sum of two sides> 3rd side. Let x=3rd side.

Q: If a polygon of n sides has 1/2n(n - 3) diagonals, how many sides will a polygon with 65 diagonals…

A: The number of diagonals of polygon with n sides is given by nn-32.   Consider that a polygon has 65…

Q: A triangle has two sides of length 17 and 8. What is the largest possible whole-number length for…

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

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Q: A polyhedron (not regular) has 10 vertices and 7 faces. How many edges does it have?

A: Given that polyhedron has 10 vertices and 7 faces. We need to find the number of edges in the…

Q: 1. Select rectangular prism that have t shape and dimensions as the section indicated. the faces th

A:

Q: The sum of the interior angles of a polygon of n sides is

A: For a polygon, Let the number of sides of a polygon is n. The sum of all the interior angles of a…

Q: A triangle has two sides of length 15 and 4. What is the largest possible whole-number length for…

A: Suppose x is the largest possible whole number length for the third side. Given us that two sides of…

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

A:

Q: What polygon is formed by the intersection of plane N and the octagonal prism shown?

A: Here the intersection is formed by the plane N and octagonal prism. Polygon formed is just an…

Q: A triangle has two sides of length 10 and 2. What is the smallest possible whole- number length for…

A: Since, a triangle has two sides of length 10 and 2.Our aim is to find the smallest possible length…

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

A:

Q: A solid is an octagonal prism. a) How many vertices does it have? b) How many lateral edges does it…

A: Given:A  solid is  an octagonal prism   Octagonal prism has10 faces24 edges16 vertices