Which two 3D shapes have same numbers faces edges and vertices?
A cube and a trapezium prism have the same number of faces, vertices and edges.
Can a polyhedron have same number of faces edges and vertices?
Figure 6: Both these polyhedra have ten faces, but neither has seventeen vertices. The second feature, called regularity, is that all the solid’s faces are regular polygons with exactly the same number of sides, and that the same number of edges come out of each vertex of the solid.
Can a 3D object have 3 faces?
No such object exists with flat sides. three lines can only intersect in one point, coincide or be parallel so yes, no such object exists. There is an infinite number of 3 dimensional objects with 3 faces, just as there are an infinite number 2 dimensional objects with 2 sides.
Do 3D shapes always have more edges than faces?
A cube has 6 faces and 12 edges, so a square-based pyramid must have 5 faces and 10 edges. The number of edges is always double the number of faces. 3D shapes always have more edges than faces.
What is the difference between edges and vertices?
An edge is where two faces meet. A vertex is a corner where edges meet. The plural is vertices.
Do 3d shapes always have more edges than faces?
Can the number of vertices faces and edges of a polyhedron all be odd?
That is impossible, so you can’t do the icosahedron. This argument will extend to any Platonic solid with an even number of edges and faces that have an odd number of sides. The cube is the only Platonic solid with faces that have an even number of edges.
Can a 3D object have 3 sides?
There is no 3-sided, 3-dimensional object which only uses 2-dimensional shapes.
What is a vertices on a 3D shape?
Vertices. A vertex is a corner where edges meet. The plural is vertices. For example a cube has eight vertices, a cone has one vertex and a sphere has none.
Is a cube 3D or 2D?
3D objects include sphere, cube, cuboid, pyramid, cone, prism, cylinder.