1. INTRODUCTION TO
GEOMETRIC
SOLIDS

2. OBJECTIVES Be able to recognize different types of geometric solids
Be able to describe geometric solids using proper terminology
Be able to draw nets of different types of geometric solids

3. GEOMETRIC SOLIDS Solid figures have THREE dimensions: Length Height
Depth
Plane figures have only two dimensions: length & height.
Height
Depth
Length

4. GEOMETRIC SOLIDS The bottoms & tops of solids are called BASES
The sides of solids are called
LATERAL FACES or
LATERAL AREAS
Base
Lateral
Area
Lateral
Faces
Base
Base

5. SOLIDS WITH CURVED SURFACES!
GEOMETRIC SOLIDS
Two basic types of geometric solids:
1. Solids with flat surfaces called
POLYHEDRONS
2. Solids with curved surfaces called
SOLIDS WITH CURVED SURFACES!

6. A solid formed by polygons that enclose a single region of space is a
POLYHEDRON

7. POLYHEDRONS The flat polygonal surfaces of the polyhedron are called
A segment where two faces intersect is called an
EDGE
The point of intersection of three or more edges is called a
VERTEX
of the polygon

8. CONGRUENT, PARALLEL polygons.
PRISMS
A prism has two bases that are
CONGRUENT, PARALLEL polygons.
The lateral faces are rectangles or parallelograms that connect the corresponding sides of the bases.
Prisms are classified by their bases.

9. PRISM

10. PYRAMIDS A pyramid has only one base.
The lateral faces of a pyramid are triangles.
The common vertex of the lateral faces is the vertex.
Pyramids are classified by their bases.

11. PYRAMID

12. SOLIDS WITH CURVED SURFACES
CYLINDERS
A cylinder has two bases that are parallel and congruent.
The bases of a cylinder are circles.

13. CYLINDER

14. CONES A cone has one base and a vertex.
The base of a cone is a circle.

15. CONE

16. SPHERES
A sphere is a set of all points in space at a given distance from a given point.
The given distance is called the RADIUS of the sphere.
The given point is at the CENTER of the sphere.
Half of a sphere and its circular base is a hemisphere.

17. SPHERE

18. SURFACE AREA
The SURFACE AREA of a geometric solid is the sum of the areas of all of the faces or surfaces that enclose the solid.

19. SURFACE AREA The surface area of a solid will be the sum of
The area of its base(s)
and
The sum of the areas of its lateral faces,
or, for a curved surface, the lateral area

20. To calculate the surface area of a solid, it is sometimes helpful to draw a
NET

21. NETS
A diagram of the faces of a geometric solid arranged in such a way that the diagram could be folded to form the solid
What a geometric solid would look like if you cut it and smashed it out flat

23. PRISMS
5 cm.
5 cm.
5 cm.

24. PRISMS
10 in.
5 in.
20 in.

25. NET OF A PYRAMID

26. SLANT HEIGHT OF A PYRAMID
Slant height is the
altitude of the triangular
face
Slant height is the distance from
the vertex of a regular pyramid
to the midpoint of an edge of the base

27. NET OF A CYLINDER r H

28. NET OF A CONE

29. CONES
= slant height of cone
H = height of cone (Altitude) H r