Page 2: Types of Prisms and Measurement Units

This page delves into the different types of prisms and provides additional information on measurement units, expanding on the concepts of rodzaje graniastosłupów.

The page defines and illustrates various types of prisms:

1. Regular Prism (Graniastosłup prosty): A prism where the lateral faces are rectangles and perpendicular to the bases.
2. Oblique Prism (Graniastosłup pochyły): A prism where the lateral faces are parallelograms not perpendicular to the bases.
3. Cuboid (Prostopadłościan): A prism where all faces are rectangles.
4. Cube (Sześcian): A special case of a cuboid where all faces are squares.

Vocabulary: Prostopadłościan - A rectangular prism or cuboid.

The page also provides detailed conversion factors for length units:

• 1 dm = 10 cm = 100 mm
• 1 km = 1000 m = 10000 dm = 100000 cm = 1000000 mm
• 1 mm = 0.1 cm = 0.001 m

Example: To convert 5 m to cm, multiply by 100: 5 m = 500 cm.

Visual representations of prism nets are included, which are helpful for understanding the construction of three-dimensional shapes from two-dimensional patterns.

Highlight: Understanding the relationships between different units of measurement is crucial for solving complex problems involving graniastosłupy wzory na pole i objętość.

This information is particularly useful for students working on graniastosłupy zadania pdf and preparing for exams covering pole powierzchni i objętość graniastosłupa klasa 8.

Page 1: Formulas and Calculations for Prisms

This page presents essential formulas for calculating areas and volumes of prisms, which are crucial for understanding graniastosłupy wzory na pole i objętość.

The page begins with basic geometric formulas for areas of shapes like squares, rectangles, and triangles. These are fundamental for calculating the surface areas of prisms.

Definition: A prism is a three-dimensional figure with two identical polygonal bases and rectangular lateral faces.

Key formulas presented include:

1. Wzór na pole podstawy graniastosłupa: The formula for the base area of a prism, which varies depending on the shape of the base.
2. Wzór na pole graniastosłupa: The formula for the total surface area of a prism, given as Pc = 2·Pp + Pb, where Pp is the area of the base and Pb is the lateral surface area.
3. Wzór na objętość graniastosłupa: The volume formula for any prism, V = Pp·H, where Pp is the base area and H is the height.

Highlight: The volume of a cube is given by V = a³, where a is the length of an edge.

The page also includes conversion factors for mass units:

• 1 kg = 1000 g
• 1 t = 1000 kg = 100000 dag = 1000000 g

Example: To convert 2 kg to grams, multiply by 1000: 2 kg = 2000 g.

These formulas and conversions are essential for solving problems related to graniastosłupy zadania klasa 8.