Can a polyhedron have 3 faces, 4 vertices, and 5 edges? Explain.

Q: An aquarium is installing a new fish tank and needs to determine the cost of the glass required to…

A: We have given the  Base side length of the hexagon= 8feet Apothem length= 5feet And, height of the…

Q: For the regular pentagonal prism shown below, find the total number of a) edges. b) faces.

A: Given: A regular pentagonal prism: To determine: Number of edges & number of faces in a regular…

Q: Identify the number of faces, edges and vertices of the polyhedron.

A:

Q: The roof of a water tower is composed of 6 equal isosceles triangles whose vertices meet in the…

A: The roof of a water tower is composed of 6 equal isosceles triangles. The inclined edges is of 17 ft…

Q: 4. What describes the polygon in the diagram?

A:

Q: Calculate the perimeter of the triangle formed by the following set of vertices. {(-3, 1) , (3, 4) ,…

A: Given:       Vertices of triangle -3,1 , 3,4 , -1,-3       For perimeter of triangle , we have to…

Q: .. How many rectangles would the net of a hexagonal prism have?

A:

Q: Name the polygon according to its number of sides. Classify it as either concave or convex and…

A:

Q: What type of polygon must have a diagonal such that at least part of the diagonal falls in the…

A: Convex polygon: line joining two points from the polygon should lie in the polygon

Q: The sum of the measures of the interior angles of a convex polygon is given. Classify the polygon by…

A: given that sum of interior angles is 3240° find n i.e. number of sides we will find out by equating…

Q: Find the perimeter of the triangle having the vertices with the given coordinates. (2, 2), (5, 2),…

A: 1)  let A=(2,2)     B=(5,2)    C=(2,6) perimeter P=distance of AB+distance of BC+distance of CA…

Q: How can we determine the difference between a pyramid and a prism?

A: Pyramid has one base and its faces are triangles, where as prism has two identical base and its…

Q: Look at this convex polygon. How many triangles are formed by drawing all the diagonals from a…

A: Given diagram, to be found - Number of triangles formed by drawing all the diagonals from a single…

Q: For the polyhedron, use Euler's Formula to find the missing number. faces: edges: 11 vertices: 6 The…

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

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: Explain why all rectangles, pentagons, hexagons, octagons, and circles are topologically equivalent

A: The objects are said to be topologically equivalent if we can apply transformations on one object…

Q: Find the area of the triangle with the given vertices.(1, 1), (2, 4), (4, 2)

A: Given the vertices of the triangle (1, 1), (2, 4) and (4, 2). We have to find the area.

Q: What inscribed polygon is being constructed? Explain how you know.

A: Given:

Q: Find the area of the triangle with vertices (4, -1), (13, 1), and (6, 8). Area =

A:

Q: it possible to rotate a polygon to form a cube? Explain.

A: 10-gon

Q: The diagram shows a convex polygon. What is the sum of the exterior angle measures, one at each…

A:

Q: How many sides does a polygon have if the sum of the measures of the interior angles of a polygon…

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: What is the perimeter of the polygon?

A: Given that:

Q: The diagram shows a convex polygon. What is the sum of the exterior angle measures, one at each…

A: We know that by, Polygon Exterior Angles Sum theorem Polygon exterior angle sum theorem states that…

Q: What is the difference between Polylines and Polygons?

A: *to find:- difference between Polyline & Polygon.

Q: Use Euler's Theorem to find the value of n. 4) What is the number of faces? If the solid has 12…

A:

Q: If 2 of the vertices of an inscribed quadrilateral are on the diameter, will the inscribed always be…

A: If all the vertices of an inscribed quadrilateral are on the diameter, then the diagonals of the…

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

A: solution

Q: Which of the figures below is not a polyhedron?

A: Here first,second and fourth option are polyhedron.

Q: How do you find the apothem of a polygon?

A: First, let's understand what an apothem is. Apothem is the line that connects the center of the…

Q: Draw a figure that is simple, closed, and convex but is NOT a polygon. Explain why your figure meets…

A: Answer : Circle

Q: Explain the similarities and differences of a star polygon and a Mobius Strip

A: To explain the similarities and differences of a star polygon and a Mobius Strip.

Q: How many edges does a tetrahedron have ?

A:

Q: A polyhedron that has 6 faces and 18 edges has how many vertices

A: By using Euler formula, we calculate the number of vertices in polyhedron.

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 dimension of the largest side of a rectangular boc that can be fitted to a triangular space…

A: Let △ABC be the required triangle. If we observe the dimensions of the triangle 15 inches, 36 inches…

Q: For the polyhedron, use Eull faces: edges: 11 vertices: 7

A: We know the Euler's formula for a polyhedron is: V + F - E = 2 ..................... (1) where F is…

Q: How many vertices does a hexahedron have ?

A: A hexahedron, as the name suggests, is a six faced polyhedron. A cube is an example of a hexahedron

Q: 16 20 18

A:

Q: For the polyhedron, use Euler's Formula to find the missing number. faces: 8 edges: vertices: 6

A: Euler's formula is: F+V=E+2

Q: Find the number of sides of a convex polygon with the sum of the interior angles equal to 1260

A: For a polygon, the sum of interior angles = (n-2)*180

Q: what is the area of a triangle with vertices at (3,-6) (9,-8) and (7,-2)

A: We can find Area of a Triangle.

Q: Find the perimeter of the polygon ABCD that has its vertices at A(2, -2), B(6, -2), C(6, 6), and…

A: NOTE: Refresh your page if you can't see any equations. . . find the length of AB to find the…

Q: Find (a) the number of diagonals for any pentagon (b) the type of polygon that has 9 diagonals.

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

A: Given : Solid structure is given

Q: Find the number of sides in a polygon that has 9 diagonals.

A: Number of diagonals=9

Q: For the polygon above, mz2 = 70, mz3 = 107, mz4 = 75. What is the value of mz1 in this %3D polygon?

A: Angle 2 = 70 , angle 3 = 107 , angle 4 = 75 .

Q: Explain how many vertices, edges, and faces the polyhedron have. Does it verify Euler's Formula?

A: