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.

This page provides essential formulas and concepts for calculating volume of prisms and cubes in maths questions. It covers various geometric shapes and their properties, focusing on volume calculations and angle measurements.

The page begins with volume formulas for different prisms. The volume of a cube and rectangular prism formula is presented as length × width × height. For other prisms, the volume is calculated by multiplying the area of the cross-section by the height.

Definition: Volume of a prism = Area of cross-section × Height

The document also includes formulas for calculating the volume of specific shapes:

Example: Volume of a trapezium prism = ½$a+b$h × length

Surface area calculation is briefly mentioned, stating that it involves finding the area of each face and summing them up.

The page then transitions to angle-related concepts, particularly focusing on interior and exterior angles of polygons. It provides the formula for calculating the sum of interior angles in a polygon:

Formula: Sum of interior angles of a polygon = (sides - 2) × 180°

Various types of angles are defined:

• Obtuse angle: More than 90° but less than 180°
• Reflex angle: More than 180°
• Acute angle: Less than 90°
• Right angle: Exactly 90°

Vocabulary: Co-interior angles are angles that add up to 180° when two parallel lines are crossed by a transversal.

The page also includes some miscellaneous information, such as unit conversions (1 km = 1000 m, 1 m = 100 cm) and a brief mention of prime numbers.