1. Prisms and cylinders

2. PRISMS

3. A Prism is a polyhedron of which two faces are congruent polygons and they are in parallel plains (bases). The other faces are parallelograms (sidewalls). The sides of the bases are called the edges of the bases. All remaining sides are called side edges. The distance between two bases is called the height / altitude.

4. Division of the prisms:

5. Right Prisms

6. A Right Prism is a prism of which all the side edges are perpendicular to the plains of both bases. The sidewalls are rectangles. The sides of the bases are of different length: - a right triangular prism - a right quadrangular prism.

7. A Right Triangular Prism

8. A Right Quadrangular Prism

9. A Right Regular Prism

10. A Right Regular Prism is a prism of which bases are regular polygons: - a right regular triangular prism - a right regular quadrangular prism.

11. A Right Regular Triangular Prism

12. A Right Regular Quadrangular Prism

13. A Cuboid It is a right prism of which base is a rectangle.

14. A Cube It is a cuboid of which all faces are squares.

15. An Oblique Prism It is a prism which is not right. Its height is not one of the side edges.

16. Volume and total area: The volume of a prism - a product of its surface area and height: V = P p · H Total area - a sum of the areas of both bases and the areas of sidewalls: P c = 2P p + P b

17. A CYLINDER

18. A Cylinder is a rotational solid which emerges from the rotation of the rectangle around one of its sides. A line which contains this side is called an axis of the cylinder, the circles are called the bases of the cylinder, the distance which joins the egdes of the bases is called the cylinder generator and the distance from the centres of the bases is called the height of the cylinder.

19. Volume, total area and area of sidewalls: The volume of the cylinder is expressed by the formula: We calculate the total area using the formula: We calculate the area of sidewalls using the formula:

20. THE END!!!

21. The authors: Marlena Zboracka Piotr Misiek Kl. III A

22. References ➲ Text : Ewa Artymiuk, dr Iwona Cieślik “ENCYKLOPEDIA Matematyka” ➲ Photos : http://images.google.pl