Space, shape and measurement: Calculate the surface area and volume of two- and three-dimensional shapes

Subject outcome

Subject outcome 3.1: Calculate the surface area and volume of two- and three-dimensional shapes

Learning outcomes

  • Calculate the surface area and volume of the following geometrical objects:
    • right pyramids (with square, equilateral triangle or regular hexagonal bases)
    • right cones
    • spheres.
  • Calculate the surface area and volume of a combination of the above mentioned geometrical objects.

Unit 1 outcomes

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

  • Apply the appropriate formulae to find the volume of:
    • right pyramids (with square, equilateral triangle or regular hexagonal bases)
    • right cones
    • spheres.
  • Determine and calculate the volume of combinations of these geometric objects.

Unit 2 outcomes

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

  • Apply the appropriate formulae to find the surface area of:
    • right pyramids (with square, equilateral triangle or regular hexagonal bases)
    • right cones
    • spheres.
  • Determine and calculate the surface area of combinations of these geometric objects.

License

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National Curriculum (Vocational) Mathematics Level 3 by Department of Higher Education and Training is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

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