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 expand/collapse

  • 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 expand/collapse

  • 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 expand/collapse

  • 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 expand/collapse

  • 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.b – Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.

          • 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.