Which polyhedral are you

In geometry, a polyhedron plural polyhedra or polyhedrons is a solid in three dimension with flat polygonal faces, straight edges and sharp corners or vertices. The word polyhedron Questions: 10 Attempts: 47 Last updated: Dec 28, Basic Geometry Quiz For 9th Grade!

This is a basic maths quiz for 9th-grade students covering the concepts of geometry. You have to solve the word problems using the mind rather than the calculator. There is a list of 10 basic questions. Read it carefully and take Questions: 10 Attempts: Last updated: Sep 7, Featured Quizzes. Let us check whether a cube is a polyhedron or not by using the Euler's formula.

Hence proved, cube is a polyhedron. Polyhedra are mainly divided into two types — regular polyhedron and irregular polyhedron. Regular Polyhedron A regular polyhedron is also called a platonic solid whose faces are regular polygons and are congruent to each other. In a regular polyhedron, all the polyhedral angles are equal. There are five regular polyhedrons. The following is the list of five regular polyhedrons. Irregular Polyhedron A polyhedron with irregular polygonal faces that are not congruent to each other, and in which the polyhedral angles are not equal is called an irregular polyhedron.

Convex Polyhedron A convex polyhedron is just like a convex polygon. If a line segment joining any two points on the surface of a polyhedron entirely lies inside the polyhedron, it is called a convex polyhedron.

Concave Polyhedron A concave polyhedron is quite similar to a concave polygon. If a line segment joining any two points on the surface of a polyhedron goes outside the polyhedron, it is called a concave polyhedron. Depending on the number of flat sides of the polygonal-based polyhedron, we can count the number of faces.

No, a sphere is not a polyhedron because it has a curved surface, whereas, polyhedrons have only straight and flat surfaces, for example, a cube is a polyhedron. Yes, a prism is a polyhedron.

A prism has flat faces, straight edges, and sharp vertices. Shapes like a triangular prism, rectangular prism, and pentagonal prism come under polyhedrons. Yes, a pyramid is a polyhedron because the base of the pyramid is a polygon and all lateral faces are triangles.

Look at the prisms. What are their characteristics or features? Look at the pyramids. Which of the following nets can be folded into Pyramid P? Select all that apply. Your teacher will give your group a set of polygons and assign a polyhedron. Decide which polygons are needed to compose your assigned polyhedron. List the polygons and how many of each are needed. Arrange the cut-outs into a net that, if taped and folded, can be assembled into the polyhedron.

Sketch the net. If possible, find more than one way to arrange the polygons show a different net for the same polyhedron. How many vertices , edges , and faces are in your polyhedron? A cube has 6 square faces, so its net is composed of six squares, as shown here. A net can be cut out and folded to make a model of the polyhedron.

A prism has two identical bases that are parallel. A pyramid has one base. A prism or pyramid is named for the shape of its base.

Here is a net for a cube.