Converting and calculating volume

  • Converting and calculating volume
  • Course: Mathematics
  • Grade: Year 7
  • Section: Volume
  • Outcome: Volume of rectangular prisms
  • Activity Type: Printable
  • Activity ID: 4589

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United Kingdom – National Curriculum

  • KS2 – Key Stage 2
    • KS2.Ma3 – Shape, space and measures
      • Knowledge, skills and understanding

        • Using and applying shape, space and measures

          • KS2.Ma3.1 – Pupils should be taught to:

            • Problem solving

              • KS2.Ma3.1.b – Select and use appropriate calculation skills to solve geometrical problems

Australia – Australian Curriculum

  • Year 6
    • Measurement and Geometry
      • Using units of measurement

        • ACMMG138 – Connect volume and capacity and their units of measurement

  • Year 7
    • Measurement and Geometry
      • Using units of measurement

        • ACMMG160 – Calculate volumes of rectangular prisms

New Zealand – National Standards

  • 7 – Year 7
    • 7.GM – Geometry and measurement
      • 7.GM.2 – Make simple conversions between units, using whole numbers

      • 7.GM.3 – Use side or edge lengths to find the perimeters and areas of rectangles and parallelograms and the volumes of cuboids, given whole-number dimensions

United States – Common Core State Standards

  • 6 – Grade 6
    • 6.G – Geometry
      • Mathematics

        • 6.G.2 – Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

  • 5 – Grade 5
    • 5.MD – Measurement & Data
      • Mathematics

        • 5.MD.5 – Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

          • 5.MD.5.c – Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

          • 5.MD.5.d – Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.