Study Notes
Volume is the amount of space occupied by a 3D object. It can be calculated for various shapes using specific formulas.
- Cuboid Net — the laid out, 2D faces that can be folded to make the 3D shape of a cuboid Example: A cuboid net can be folded to form a cuboid.
- Volume of Cube — calculated by multiplying the length of its sides three times Example: Volume = Length x Length x Length
- Volume of Cuboid — calculated by multiplying its length, breadth, and height Example: Volume = Length x Breadth x Height
- Volume of Prism — calculated by multiplying the area of its base by its height Example: Volume = Area of triangle x Height
- Volume of Cylinder — calculated by multiplying the area of its circular base by its height Example: Volume = Πr²h
- Unit Conversions — converting between different volume units Example: 1 cm³ = 1000 mm³
Exam Tips
Key Definitions to Remember
- Cuboid Net: The 2D layout of a cuboid's faces.
- Volume of Cube: Length x Length x Length.
- Volume of Cuboid: Length x Breadth x Height.
- Volume of Prism: Area of base x Height.
- Volume of Cylinder: Πr²h.
Common Confusions
- Confusing the formula for volume of a cube with that of a cuboid.
- Forgetting to convert units when necessary.
Typical Exam Questions
- What is the volume of a cube with side length 5 cm? Answer: 125 cm³
- How do you calculate the volume of a cylinder with radius 3 cm and height 10 cm? Answer: Volume = Π x 3² x 10 = 90Π cm³
- If the area of one face of a cube is 64 cm², what is its volume? Answer: 512 cm³
What Examiners Usually Test
- Ability to apply volume formulas correctly.
- Understanding of unit conversions in volume calculations.