Summary
Volume is the measure 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 into a box shape.
- Volume of a Cube — calculated as Length x Length x Length Example: A cube with side length 8 cm has a volume of 512 cm³.
- Volume of a Cuboid — calculated as Length x Breadth x Height Example: A cuboid with dimensions 2 cm x 3 cm x 4 cm has a volume of 24 cm³.
- Volume of a Prism — calculated as Area of triangle x Height Example: A triangular prism with base area 10 cm² and height 5 cm has a volume of 50 cm³.
- Volume of a Cylinder — calculated as Πr²h Example: A cylinder with radius 3 cm and height 7 cm has a volume of 198 cm³.
Exam Tips
Key Definitions to Remember
- Cuboid Net: 2D faces that form a cuboid when folded
- Volume of a Cube: Length x Length x Length
- Volume of a Cuboid: Length x Breadth x Height
- Volume of a Prism: Area of triangle x Height
- Volume of a Cylinder: Πr²h
Common Confusions
- Confusing the formulas for volume of a cube and a cuboid
- Mixing up the base area and height in the volume formula for prisms
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 4 cm and height 10 cm? Answer: Use the formula Πr²h to find the volume.
- If a cuboid has dimensions 3 cm x 4 cm x 5 cm, what is its volume? Answer: 60 cm³
What Examiners Usually Test
- Ability to apply the correct formula for different shapes
- Understanding the concept of nets and how they relate to 3D shapes
- Conversion between different units of volume