Question

properties of all solid figures

Answer 1

Solid figures are three-dimensional objects, meaning they have length, width, and height.  Because they have three dimensions, they have depth and take up space in our universe.  Solid figures are identified according to the features that are unique to each type of solid.  Specifically, you can observe the numbers of faces,edges, and vertices, as well as the shape of the base. 

The flat surfaces of a solid figure are its faces, or sides as they are commonly called.  The base is the face on which the figure rests.  The edge of a solid figure is the line segment where two faces meet.  A vertex(plural: vertices) is the corner that is formed where the ends of the line segments of two or more faces meet.

A sphere is a solid figure that has no faces, edges, or vertices. This is because it is completely round; it has no flat sides or corners.



A cone has one face, but no edges or vertices. Its face is in the shape of a circle. Because a circle is a flat, plane shape, it is a face. But because it is round around the outside, it does not form any edges or vertices. 



A cylinder has two circular faces but also no edges or vertices.



A pyramid has one base and at least three triangular faces.  It has edges where faces meet each other or the base, vertices where two faces meet the base, and a vertex at the top where all of the triangular faces meet.  A pyramid is named by the shape of its base.

A triangular pyramid has a triangle-shaped base and three other triangular faces, or four in all.



[Figure2]

          

A rectangular pyramid has a rectangle-shaped base and a square-based pyramid has a square-shaped base.  They both have four triangular faces, five faces in all. 



[Figure3]

                        

[Figure4]

          Rectangular Pyramid                             Square Pyramid

A  prism is a solid figure that has two congruent parallel faces and any number of sides. In other words, it can have any number of faces, but at least two of them must be parallel. The shape of the two parallel faces can be a triangle, square, rectangle, pentagon, hexagon, or any other kind of polygon. Prisms are named by the shape of their bases. Here are three examples of different prisms:



is a prism where all the faces are square.cubeA