Page 2: Types of Prisms

This page provides a comprehensive overview of different types of prisms and their classifications based on their base shapes. Each type is clearly defined and illustrated.

Definition: A prism is a three-dimensional geometric shape with identical ends (bases) and flat faces

Vocabulary:

• Triangular prism: Three-sided base
• Quadrangular prism: Four-sided base
• Pentagonal prism: Five-sided base
• Hexagonal prism: Six-sided base
• Orthoedro: Rectangular base
• Cube: Square base

Page 3: Pyramids and Cylinders

This page covers pyramids, truncated pyramids, and cylinders, including their area calculations and key characteristics.

Definition: Total area formula for cylinders: A.TOTAL = A. LATERAL + Area of 2 bases

Highlight: Lateral area of cylinder formula: 2πr·h

Vocabulary: Tronco de pirámide (Truncated pyramid): A pyramid with the top portion removed

Page 4: Cones and Spheres

This page details the properties and calculations for cones, truncated cones, and spheres, including their surface area formulas.

Definition: Lateral area of a cone: πrg (where g is the slant height)

Example: Total area of a truncated cone: π$r₁ + r₂$g + πr₁² + πr₂²

Highlight: Sphere calculations focus on total surface area using the formula 4πr²

Page 1: Mathematical Calculations and Volume Formulas

This page demonstrates practical applications of volume and area calculations through worked examples. The content focuses on step-by-step problem solving using geometric formulas.

Example: A calculation showing base area (Abase=2·2=4·2=8) and lateral area (A lateral = 6.2-12-4-48)

Definition: Volume calculation formula: Base area × height (Abase · h = volume)

Highlight: Final volume calculation resulting in 841.32 cubic units