Geometric Formulas for Volume, Area, and Perimeter

This page presents a concise collection of formules maths brevet PDF for calculating volumes, areas, and perimeters of various geometric shapes. The formulas are organized into three main categories: volume, area, and perimeter, making it an excellent fiche révision maths brevet pdf for students.

Volume Formulas

The document begins with volume formulas for 3D shapes:

1. Parallelepiped Rectangle (Rectangular Prism): Volume = Length x Width x Height $V = L x l x h$

   Definition: A parallelepiped rectangle is a three-dimensional figure with six rectangular faces.

2. Cube: Volume = Side³ $V = c³$

   Highlight: The volume of a cube is the cube of its side length.

3. Pyramid: Volume = (Base Area x Height) / 3

   Example: For a square-based pyramid with base side 4 cm and height 6 cm, the volume would be (4² x 6) / 3 = 32 cm³.

4. Prism: Volume = Base Area x Height

5. Cylinder: Volume = π x r² x h

   Vocabulary: r represents the radius of the circular base, and h is the height of the cylinder.

6. Cone: Volume = (π x r² x h) / 3

Area Formulas

The document then presents area formulas for 2D shapes:

1. Square: Area = Side x Side $A = c x c$

2. Rectangle: Area = Length x Width $A = L x l$

3. Circle: Area = π x r²

   Highlight: This formula is crucial for calculating areas of circular objects and is frequently used in exercice aire et périmètre brevet.

4. Triangle: Area = (Base x Height) / 2

   Example: A triangle with base 8 cm and height 6 cm has an area of (8 x 6) / 2 = 24 cm².

Perimeter Formulas

Lastly, the document provides perimeter formulas:

1. Square: Perimeter = Side x 4

2. Rectangle: Perimeter = (Length + Width) x 2

3. Circle: Perimeter = π x 2 x r

   Vocabulary: This formula is also known as the circumference of a circle.

The page includes clear diagrams for each shape, making it easier for students to visualize and understand the formulas. This comprehensive collection of toutes les formules mathématiques 3ème PDF is an invaluable resource for students preparing for their brevet exams or studying geometry at the collège level.