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Name a three dimensional figure that has equal numbers of faces equal number of edges and equal number of vertices?
According to the Euler characteristic, the number of faces, edges and vertices are related by: V - E + F = 2 for ANY convex polyhedron. If V = E then F = 2 faces. Also, E = F requires V = 2 vertices. No such figure exists.
What figure has the same number of faces as it has vertices?
any pyramid
What is a solid figure with 8 vertices and all of its faces are of equal size?
cube
What solid figure has the same number of faces and vertices and has 8 edges?
The solid figure that has the same number of faces and vertices and has 8 edges is a cube. A cube has 6 faces, 8 vertices, and 12 edges, so it fits the description given.
Does a prism have an even number of vertices?
Yes, a prism has an even number of vertices. A prism is a three-dimensional shape with two parallel and congruent polygonal bases connected by rectangular or parallelogram faces. The number of vertices in a prism is equal to the number of vertices in its bases plus the number of vertices in the lateral faces. Since each base has an equal number of vertices, and the lateral faces have an even number of vertices, the total number of vertices in a prism is always even.
What is a shape that has equal number of faces equal number edges and equal number of vertices?
A sphere- there are no faces, edges or vertices
What is a solid figure with eight vertices and all of its faces are an equal size?
A solid figure with eight vertices and all faces of equal size is called a cube. Each face of a cube is a square, and a cube has 8 vertices and 6 faces.
Name a three dimensional figure that has equal numbers of faces equal number of edges and equal number of vertices?
According to the Euler characteristic, the number of faces, edges and vertices are related by: V - E + F = 2 for ANY convex polyhedron. If V = E then F = 2 faces. Also, E = F requires V = 2 vertices. No such figure exists.
Figure that has the same number of faces and vertices?
A triangular based pyramid has 4 faces and 4 vertices
What figure has the same number of faces as it has vertices?
any pyramid
What is a solid figure with 8 vertices and all of its faces are of equal size?
cube
What solid figure has the same number of faces and vertices and has 8 edges?
The solid figure that has the same number of faces and vertices and has 8 edges is a cube. A cube has 6 faces, 8 vertices, and 12 edges, so it fits the description given.
What equation coul you write to compare the number of faces to the number of vertices in a rectangular pyramid?
In pyramids, faces equal vertices. 5 = 5
Does a prism have an even number of vertices?
Yes, a prism has an even number of vertices. A prism is a three-dimensional shape with two parallel and congruent polygonal bases connected by rectangular or parallelogram faces. The number of vertices in a prism is equal to the number of vertices in its bases plus the number of vertices in the lateral faces. Since each base has an equal number of vertices, and the lateral faces have an even number of vertices, the total number of vertices in a prism is always even.
Which 3 dimensional figure has the same number of faces as vertices?
Any pyramid.
What is the relationship between faces vertices and edges in prisms?
In a prism, the number of faces, vertices, and edges are related by the formula F + V - E = 2, known as Euler's formula. For a prism, which has two parallel and congruent faces connected by rectangular faces, the number of faces (F) is equal to the sum of the number of rectangular faces and the two congruent bases. The number of vertices (V) is equal to the number of corners where edges meet, and the number of edges (E) is equal to the sum of the edges around the bases and the edges connecting the corresponding vertices of the bases.
How do you compare the number of faces to the number of vertices's in a cube?
The number of faces is 6, the number of vertices (not vertices's) is 8.
