Lessons

1. Basics
2. Deductive Reasoning
3 - Parallel lines
4 - Congruent Triangles
6 - Inequalities
7 - Similar Polygon
8 - Rt. Triangles
9 - Circles
10 - Constructions
11 - Areas of 2D objects
12 - Areas and Volumes
13 - Coordinates

Areas and Volumes of Prisms

Objective:

• Understanding the parts of prisms, finding areas and volumes of prisms

Lesson 12-1 Prisms:

Prism: A solid whose bass or ends are any congruent and parallel polygons, and whose sides are parallelograms

Bases: The congruent polygons of the prism

Altitude: A segment joining the two base planes and perpendicular to both. The length of an altitude is also the height, h, of the prism.

Lateral edges: The adjacent lateral faces intersect in parallel segment.

Lateral faces: The faces of a prism that are not its bases. The faces are also parallelograms

Right Prism: Prisms that has the lateral faces that are rectangles. The lateral faces and the base form a 90º angle.

Oblique Prism: Prisms that has lateral faces that are parallelogram.

Oblique Prism               Right prism

Lateral area: Sum of the areas of its lateral faces.

Total area: Sum of the areas of all its faces

 Theorem 12-1 The lateral area of a right prism equals the perimeter of a base times the height of the prism. (L.A. = ph)  Perimeter of a base=15 Height= 10 LA= (15)(10)= 150   Theorem 12-2 The Volume of a right prism equals the area of a base times the height of the prism. (V=Bh) Area of a base= 7.5 Height= 10 V= (7.5)(10)= 75

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