Summary
Mensuration and calculation involve using standard units of measure and applying formulae to calculate areas, perimeters, and volumes of various geometric shapes.
- Length — the measurement of distance. Example: 1 kilometer (km) = 1000 meters (m).
- Perimeter — the length of the outline of a shape. Example: Perimeter of a rectangle = 2(X + Y).
- Area — the measurement of the surface of a shape. Example: Area of a rectangle = length × width.
- Volume — the amount of space inside a 3D shape. Example: Volume of a cuboid = length × width × height.
- Circumference — the distance around a circle. Example: Circumference = 2πr.
Exam Tips
Key Definitions to Remember
- Length: Measurement of distance
- Perimeter: Length of the outline of a shape
- Area: Measurement of the surface of a shape
- Volume: Amount of space inside a 3D shape
- Circumference: Distance around a circle
Common Confusions
- Mixing up units of measurement (e.g., meters vs. centimeters)
- Forgetting to square units when calculating area
- Confusing perimeter with area
Typical Exam Questions
- How do you find the perimeter of a rectangle? Add the lengths of all four sides.
- What is the formula for the area of a triangle? Area = 1/2 × base × height
- How do you calculate the volume of a cuboid? Multiply length × width × height
What Examiners Usually Test
- Ability to convert between different units of measurement
- Correct application of area and volume formulae
- Understanding of geometric properties and relationships