Volume of a Cuboid and Cube

Learn how to find the volume of cubes, cuboids, and composite 3D shapes. Let’s get started! 🚀

Volume of a Cuboid and Cube - introduction visual

Video Lesson

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Flashcards

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Diagram showing the volume formulas of a cuboid and a cube. Cuboid: 5 cm x 3 cm x 2 cm, volume 30 cm³. Cube: 5 cm sides, volume 125 cm³.Solving for width of a cuboid using volume equals length times width times height formula, with given volume 120 m³, length 10 m, height 2 m.Diagram shows the volume calculation of a complex shape divided into two cuboids A and B, with their respective dimensions and total volume summation.The application of cuboid volume formula to calculate water container problem, with dimensions 50 cm x 30 cm x 20 cm, using a flow rate of 10 L/min.

🛎️ Volume of Cuboids and Cubes

  • The volume of a cuboid: Volume = length × width × height.
  • The volume of a cube: Volume = side × side × side.

🛎️ Finding a Missing Dimension

  • If the volume of a cuboid and two dimensions are known, the third can be found.
  • Use Volume = length × width × height, then divide to find the missing value.

🛎️ Volume of Complex Solids

  • A complex solid can be split into smaller cuboids.
  • Find the volume of each part and add them together.

🛎️ Using Volume in Real Life

  • Volume can be used to find capacity, such as how much liquid a container holds.
  • You may need to convert units (e.g. from cm³ to litres) when calculating volume.

Practice Questions

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Interactive Activity

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