Shapes and Their Properties
This page continues with mathematical concepts, focusing on polygons, volume of cube calculations, and more detailed information about angles in geometry.
The page starts by listing various polygons and their number of sides:
- Pentagon: 5 sides
- Hexagon: 6 sides
- Heptagon/Septagon: 7 sides
- Octagon: 8 sides
- Nonagon: 9 sides
- Decagon: 10 sides
Vocabulary: A polygon is a closed shape with straight sides. The names of polygons are derived from Greek, indicating the number of sides they have.
The document then provides a detailed example of calculating the volume of a cube:
Example: For a cube with side length 8, the volume is calculated as 8 × 8 × 8 = 512
This example demonstrates the application of the volume of cube formula: side length cubed.
The page also includes area formulas for various 2D shapes:
- Parallelogram: base × perpendicular height
- Rhombus: length × width
- Trapezium: ½(a+b)h, where a and b are the parallel sides and h is the height
Highlight: The area formulas provided here are essential for calculating the cross-sectional areas of prisms, which is crucial for calculating volume of prisms and cubes in maths worksheets.
The document concludes with more information about angles, particularly in the context of parallel lines and triangles:
Quote: "The exterior angle of a triangle is equal to the sum of the two opposite interior angles"
This statement relates to the concept of exterior angles of a polygon and their relationship with interior angles.
Lastly, the page mentions that corresponding angles formed by a transversal crossing parallel lines are equal, which is a fundamental concept in geometry often used in understanding angles and interior angles in polygons gcse level studies.
