Problem solving with perimeter, area and volume
I can use my knowledge of perimeter, area and volume to solve problems.
Problem solving with perimeter, area and volume
I can use my knowledge of perimeter, area and volume to solve problems.
Lesson details
Key learning points
- The volume and surface area of shapes made from prisms and cylinders can be found.
- The volume and surface area of shapes made from parts of prisms and cylinders can be found.
- Unknown lengths can be found when surface area or volume are known.
- Volume and surface area can be used in context to solve problems.
Common misconception
Pupils may struggle to decide whether the question is needing length, area or volume.
Support could be given by providing the units for the answer or pupils may be encouraged to think of contexts for each before hand.
Keywords
Prism - polyhedron with a base that is a polygon and identical parallel opposite face whose corresponding edges are joined by parallelograms.
Cylinder - 3D shape with a circle base and an identical parallel opposite face. Cross sections made parallel to the base will be congruent to the base.
Surface area - the total area of all the surfaces of a closed 3D shape. The surfaces include all faces and any curved surfaces.
Volume - the amount of space occupied by a closed 3D shape.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
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Starter quiz
6 Questions
Area -
the size of the surface.
Perimeter -
the distance around a 2D shape.
Volume -
the amount of space occupied by a closed 3D shape.
Surface area -
the total area of all the surfaces of a closed 3D shape.
Exit quiz
6 Questions
Length -
The amount of ribbon to put around a cake.
Area -
The amount of carpet to cover a floor.
Surface area -
The amount of silver to cover an earring.
Volume -
The amount of soil to fill in a hole.