2. INTRODUCTION: A polyhedron is a geometric figure made up of a finite number of polygons that are joined by pairs along their sides and that enclose a finite portion of space. The polygons that make up a polyhedron are called the faces, the common sides are called the edges intersect are called the vertices.facesedges vertices.

3. FACES

5.  A polyhedron is a PRISM if and only if has two congruent faces that are contained in parallel planes, and its other faces are parallelograms.  The two congruent faces are the bases ; the other faces are the lateral faces. Lateral faces intersect in the lateral edges, all of which are parallel and congruent.baseslateral faceslateral edges

6. base Lateral edge Lateral face base

7. A segment is an altitude of a prism if and only if it is perpendicular to the planes of both bases of the prism. The length of the altitude of a prism is called the height of the prism. In a right prism, the height is the same as the length of any lateral edge.

8. THEOREM 12.1 The lateral area L of a right prism equals the perimeter of a base P times the height h of the prism or L = Ph. THEOREM 12.1 The lateral area L of a right prism equals the perimeter of a base P times the height h of the prism or L = Ph.

9. Theorem 12.2 The total area T of a right prism is the sum of the lateral area L and the area of the two bases 2B or T = L + 2B. Theorem 12.2 The total area T of a right prism is the sum of the lateral area L and the area of the two bases 2B or T = L + 2B.

10. 10 cm L = Ph =( 2 + 2 + 2 + 2) x 2 = 16 cm 2 L = Ph =( 2 + 2 + 2 + 2) x 2 = 16 cm 2 T = L + 2B = 16 + 2 x (2 x 2) = 24 cm 2 V = Bh = (2 x 2 ) x 2 = 8 cm 3

11. The Volume is the amount of space occupied by the figure.

12. THEOREM 12.3 The volume V of a prism equals the area of a base B times the height h of a prism or V = Bh. Corollary : The volume of a cube with edge e is the cube of e, or V = e 3. THEOREM 12.3 The volume V of a prism equals the area of a base B times the height h of a prism or V = Bh. Corollary : The volume of a cube with edge e is the cube of e, or V = e 3.

13. Using the Pythagorean Theorem, the third side of the base is 10 cm. The area of the base B is 1/2 h x b = 1/2 (6) (8) = 24 m 2 6 m 8 m 12 m L = Ph =( 6 + 8 + 10) x (12) = 288 m 2 L = Ph =( 6 + 8 + 10) x (12) = 288 m 2 V = Bh = 24 x 12 = 288 m 3 T = L + 2B = 288 + 2 (24) = 336 m 2

14. PREPARED BY: