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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  • KS2.Y6 – KS2 Year 6
    • Year 6 programme of study
      • KS2.Y6.M – Measurement

        • Pupils should be taught to:

          • KS2.Y6.M.5 – Recognise when it is possible to use formulae for area and volume of shapes

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

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

  • 7 – Year 7
    • 7.GM – Geometry and measurement
      • 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

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

        • 5.MD.4 – Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.

        • 5.MD.3 – Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

          • 5.MD.3.a – A cube with side length 1 unit, called a “unit cube,” is said to have “one cubic unit” of volume, and can be used to measure volume.

          • 5.MD.3.b – A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

        • 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.