How do we identify solids?

           Solid Geometry, Lateral Area & Surface Area 
Solid Geometry ; 

  Solid geometry is the geometry of 3 - dimensional spaces.  It is called three dimensional , or 3D because there are three dimensions width , length and height. 

Solids have properties that are special  :
 - Surface Area ( think of the area of the faces and curved surface of a solid figure)

              - Volume ( Think about how much water the figure can hold )

There are two types of solids :

            - Polyhedra

            - Non- Polyhedra 

     

Polyhedra includes Prisms, Pyramids and Platoric Solids 

There are many different types of Prisms

Non- Polyhedra includes Spheres, Cylinder, Cones and Torus 

Torus

Sphere 

Cylinder 

Cone

Lateral Area & Surface Area 

Lateral Area is the sum of the areas of the lateral (vertical) faces of a cylinder, cone and more

Surface 

A Prism has the same cross section all along it`s length!

Surface Area = area of the bases + Lateral Area ( area of the sides )

A cross section is the shape you get when cutting straight across an object 

A Pyramid is a solid that contains a polygon base to point 

the slant height of a pyramid is the height of one of the lateral faces 

L.A = 1/2pt * 4

Surface Area = L.A + B( area of the bottom) 

Cones : the base of a cone is a circle and the other end (vertex) is the "pointed" similar to a pyramid 

The slant height of a cone is the distance from the vertex to a point on the edge of a base 

L.A = πrl   ( r means radius, and l means Slant height)

B = πr^2 

Surface Area = L.A + B

A Cylinder is a geometric figure with straight parallel sides and a circular or oval base 

L.A = 2πh or πdh

Surface Area = Lateral Area + Area of a Circle 

Surface Area = 2πh + 2πr^2