Space, shape and measurement: Calculate perimeter, surface area and volume in two- and three-dimensional geometrical shapes

Subject outcome 3.2

Calculate perimeter, surface area and volume in two- and three-dimensional geometrical shapes

Learning outcomes

  • Calculate the perimeter and surface area of the following laminas:
    • Square
    • Rectangle
    • Circle
    • Triangle
    • Parallelogram
    • Trapezium
    • Hexagon
  • Calculate the volume of the following geometric objects:
    • Cubes
    • Rectangular prisms
    • Cylinders
    • Triangular prisms
    • Hexagonal prisms
  • Investigate the effect on area of laminas where one or more dimensions are multiplied by a constant factor k.
  • Investigate the effect on the volume and surface area of right prisms and cylinders, where one or more dimensions are multiplied by a constant factor k.

Unit outcomes: Unit 1: Properties of polygons

By the end of this unit you will be able to:

  • Name the different types of polygons
  • Calculate the perimeter and area of the following:
    • Square
    • Rectangle
    • Circle
    • Triangle
    • Parallelogram
    • Trapezium
    • Hexagon
  • Investigate the effect on the perimeter and surface area, where one or more dimensions are multiplied by a constant factor k.

Unit outcomes: Unit 2: Volume of 3-dimensional shapes

By the end of this unit you will be able to:

  • Calculate the volume of the following geometric objects:
    • Cubes
    • Rectangular prisms
    • Triangular prisms
    • Hexagonal prisms
    • Cylinders.
  • Investigate the effect on the volume of right prisms and cylinders, where one or more dimensions are multiplied by a constant factor k.

Unit outcomes: Unit 3: Total surface area of 3-D shapes

By the end of this unit you will be able to:

  • Calculate the surface area of the following geometric objects:
    • Cubes
    • Rectangular prisms
    • Cylinders
    • Triangular prisms
    • Hexagonal prisms
  • Investigate the effect on the surface area of right prisms and cylinders, where one or more dimensions are multiplied by a constant factor k.

License

Icon for the Creative Commons Attribution 4.0 International License

National Curriculum (Vocational) Mathematics Level 2 by Department of Higher Education is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

Share This Book