Volume

Calculate the volume of a cube using Volume = side cubed and of a cuboid using Volume = length x width x height, find a missing dimension given the volume, convert between cubic units of measurement, and reason about volume in real-world, comparison, and algebraic contexts.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • GM4-3
  • GM5-3
New NZC (2026)
  • NZC26-P4-MEA-MEA-P-Y10-08

Resources

Terminology

  • Volume
  • Cube
  • Cuboid
  • Cubic unit
  • Missing dimension

Task goals

  • Calculate the volume of a cuboid from given or diagrammed dimensions using Volume = length x width x height.
  • Calculate the volume of a cube from a given side length using Volume = side cubed.
  • Find a missing dimension of a cuboid or cube given its volume and its other dimension(s).
  • Convert a volume between cubic units of measurement (mm cubed, cm cubed, m cubed) by cubing the linear conversion factor.
  • Compare the volumes of two solids given in the same unit and state the difference between them.

Where this fits

What leads into this objective, and where it goes next.

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Volume

Volume

Do

Calculating the volume of cylinders and irregular prisms with a consistent cross-sectional area

Statement▸
Year 10 · Measurement · Measuring
NZC26-P4-MEA-MEA-P-Y10-08

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