Summary
Mensuration and calculation involve using standard units to measure and calculate dimensions, areas, and volumes of geometric shapes.
- Length — the measurement of the extent of something from end to end. Example: 1 kilometer (km) = 1000 meters (m).
- Perimeter — the total length of the outline of a shape. Example: Perimeter of a rectangle = 2(X+Y), where X is the length and Y is the width.
- 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 of a circle = 2πr, where r is the radius.
Exam Tips
Key Definitions to Remember
- Length is the measurement of the extent of something from end to end.
- Perimeter is the total length of the outline of a shape.
- Area is the measurement of the surface of a shape.
- Volume is the amount of space inside a 3D shape.
- Circumference is the distance around a circle.
Common Confusions
- Confusing area with perimeter.
- Misunderstanding the units for volume and area.
Typical Exam Questions
- How do you calculate the perimeter of a rectangle? Add the lengths of all four sides or use 2(X+Y).
- What is the formula for the area of a triangle? Area = 1/2 × base × height.
- How do you find the volume of a cuboid? Multiply length × width × height.
What Examiners Usually Test
- Ability to apply formulas for area and volume.
- Understanding of unit conversions.
- Correct calculation of perimeter and circumference.