Area of 2D and 3D Shapes

Students learn how to calculate the area of triangles, parallelograms and trapeziums.  They use this knowledge to later find the total surface of cuboids and prisms.

This topic takes place in Term 2 of Year 8 and is the prerequisite topic for Circles, Cylinders and Circular Shapes.

Area of 2D and 3D Shapes Lessons
4 Part Lesson
Surface Area of Prisms
4 Part Lesson
Surface Area of Cubes and Cuboids
4 Part Lesson
Composite Area of 2D Shapes
4 Part Lesson
Area of Triangles and Composite Shapes
Additional Resources
Extended Learning
Surface Area of Cuboids
Problem Solving
Perimeter and Area
Area of 2D Shapes
Volume and Surface Area of Cuboids
Area of Triangular Shapes
Working mathematically

Develop fluency

  • Use language and properties precisely to analyse 2-D and 3-D shapes

Reason mathematically

  • Begin to reason deductively in geometry,

Solve problems

  • Select appropriate concepts, methods and techniques to apply to unfamiliar and non-routine problems.
Subject Content


  • Derive and apply formulae to calculate and solve problems involving: perimeter and area of triangles, parallelograms, trapezia, volume of cuboids (including cubes) and other prisms
  • Calculate and solve problems involving: perimeters of 2-D shapes and composite shapes.

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