Geometric Formulas for Areas and Volumes

This page presents a collection of essential wzory na pola figur płaskich and wzory na objętość figur for common geometric shapes. The formulas are presented in Polish with their corresponding mathematical notations, making it an invaluable resource for students studying geometry.

The page is organized into two main sections: 2D figures (figury płaskie) and 3D figures (bryły). For each shape, the Polish name is provided along with its area or volume formula.

2D Figures:

1. Prostokąt (Rectangle): The area formula is given as P = ab, where 'a' and 'b' represent the lengths of the rectangle's sides.

2. Równoległobok (Parallelogram): The area is calculated using P = ah, where 'a' is the base and 'h' is the height.

3. Kwadrat (Square): The area formula is simplified to P = a², where 'a' is the length of one side.

4. Romb (Rhombus): The area is determined by P = ef, where 'e' and 'f' are the lengths of the diagonals.

5. Trapez (Trapezoid): The area formula is presented as P = (a+b)h / 2, where 'a' and 'b' are the parallel sides and 'h' is the height.

3D Figures:

1. Prostopadłościan (Cuboid): The volume formula is V = abc, where 'a', 'b', and 'c' are the lengths of the three dimensions. The surface area formula is also provided: P = 2(ab + ac + bc).

2. Sześcian (Cube): The volume is calculated using V = a³, and the surface area is given by P = 6a², where 'a' is the length of one edge.

Highlight: This comprehensive list of wzory na pola i objętości figur serves as an excellent quick reference for students preparing for exams or solving geometry problems.

Vocabulary:

• P: Pole (Area)
• V: Objętość (Volume)
• a, b, c: Dimensions or side lengths
• h: Height
• e, f: Diagonal lengths (for rhombus)

Example: For a rectangle with sides 5 cm and 3 cm, the area would be calculated as P = ab = 5 cm × 3 cm = 15 cm².

Definition: Prostopadłościan (Cuboid) is a three-dimensional figure with six rectangular faces.

This collection of wzory figur geometrycznych is an essential tool for students studying geometry, particularly those in klasa 6 or klasa 8. It can be used as a karta wzorów matematyka for quick reference during problem-solving or exam preparation. The clear presentation of these formulas makes this page an excellent resource for creating tablice matematyczne do wydruku or a karta wzorów Matematyka 2024.