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Area and Volume Using formulae
Finding Area and Perimeter of a Square or Rectangle ,[object Object],[object Object],Area of a rectangle = length  ×  width A = l × w Perimeter = 2 × (length and width) length width
Finding Area of a Triangle ,[object Object],length (base) width (height) Area of a triangle = ½ length × width A = ½ l×w
Length Perpendicular height Area of a parallelogram = length × perpendicular height A = l×h Finding Area of a Parallelogram
Perpendicular height Length a Length b Finding Area of a Trapezium Area of a trapezium = ½ (length a + length b) × perp height A = ½ (a+b) × h
Radius, r Diameter, d Circumference, c Area of a circle = 3.14 × radius 2 A = π×r 2   Area & Circumference of a Circle Circumference of a circle = 3.14 × diameter C = π×D = 2×π×r
Shape Area Triangle ½ ( L×W) Square L×W Rectangle L×W Parallelogram L × Height Trapezium (A + B)  ×  Height 2  Circle    × r ²
To Find Area of Complicated Shapes ,[object Object],[object Object],[object Object]
Perimeters of Complicated Shapes ,[object Object],[object Object],[object Object],[object Object],6cm 20cm 14cm 10cm 8cm 10cm
Surface Area To find the surface area of a 3D shape, imagine it laid out as a net.  Calculate the area of each side and then add them together.
Areas and Volumes of 3D Shapes ,[object Object],[object Object]
Volume of a Cuboid This is also the same as the area of the rectangle on one end (cross section) multiplied by the length of the cuboid Volume of cuboid = length × width × height V = l × w × h
Volume of a Prism ,[object Object],[object Object],Volume of prism = cross sectional area x length
Finding the Area of a Prism Volume of prism = Triangle area x length
Area and Volume Using formulae Take 2
Finding Area and Perimeter of a Square or Rectangle ,[object Object],[object Object],Area of a rectangle = length  ×  width A = l × w Perimeter = 2 × (length and width) length width
Finding Area of a Triangle ,[object Object],length (base) width (height) Area of a triangle = ½ length × width A = ½ l×w
Length Perpendicular height Area of a parallelogram = length × perpendicular height A = l×h Finding Area of a Parallelogram
Perpendicular height Length a Length b Finding Area of a Trapezium Area of a trapezium = ½ (length a + length b) × perp height A = ½ (a+b) × h
Radius, r Diameter, d Circumference, c Area of a circle = 3.14 × radius 2 A = π×r 2   Area & Circumference of a Circle Circumference of a circle = 3.14 × diameter C = π×D = 2×π×r
Shape Area Triangle ½ ( L×W) Square L×W Rectangle L×W Parallelogram L × Height Trapezium (A + B)  ×  Height 2  Circle    × r ²
To Find Area of Complicated Shapes ,[object Object],[object Object],[object Object]
Perimeters of Complicated Shapes ,[object Object],[object Object],[object Object],[object Object],6cm 20cm 14cm 10cm 8cm 10cm
Surface Area To find the surface area of a 3D shape, imagine it laid out as a net.  Calculate the area of each side and then add them together.
Areas and Volumes of 3D Shapes ,[object Object],[object Object]
Volume of a Cuboid This is also the same as the area of the rectangle on one end (cross section) multiplied by the length of the cuboid Volume of cuboid = length × width × height V = l × w × h
Volume of a Prism ,[object Object],[object Object],Volume of prism = cross sectional area x length
Finding the Area of a Prism Volume of prism = Triangle area x length
Area and Volume Using formulae
Shape Area Triangle ½ ( L×W) Square L×W Rectangle L×W Parallelogram L ×  Perp Height Trapezium (A + B)  ×  Height 2  Circle Area    × r ² Circle Circumference 2×  ×r or   ×D
……………… . cm 2 (Total 2 marks)
……………… . cm 2 (Total 4 marks)
……………… . ………  (Total 3 marks)
(Total 4 marks)
……………… . cm 2 (Total 3 marks)

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Area And Volume Spaced Learning

  • 1. Area and Volume Using formulae
  • 2.
  • 3.
  • 4. Length Perpendicular height Area of a parallelogram = length × perpendicular height A = l×h Finding Area of a Parallelogram
  • 5. Perpendicular height Length a Length b Finding Area of a Trapezium Area of a trapezium = ½ (length a + length b) × perp height A = ½ (a+b) × h
  • 6. Radius, r Diameter, d Circumference, c Area of a circle = 3.14 × radius 2 A = π×r 2 Area & Circumference of a Circle Circumference of a circle = 3.14 × diameter C = π×D = 2×π×r
  • 7. Shape Area Triangle ½ ( L×W) Square L×W Rectangle L×W Parallelogram L × Height Trapezium (A + B) × Height 2 Circle  × r ²
  • 8.
  • 9.
  • 10. Surface Area To find the surface area of a 3D shape, imagine it laid out as a net. Calculate the area of each side and then add them together.
  • 11.
  • 12. Volume of a Cuboid This is also the same as the area of the rectangle on one end (cross section) multiplied by the length of the cuboid Volume of cuboid = length × width × height V = l × w × h
  • 13.
  • 14. Finding the Area of a Prism Volume of prism = Triangle area x length
  • 15. Area and Volume Using formulae Take 2
  • 16.
  • 17.
  • 18. Length Perpendicular height Area of a parallelogram = length × perpendicular height A = l×h Finding Area of a Parallelogram
  • 19. Perpendicular height Length a Length b Finding Area of a Trapezium Area of a trapezium = ½ (length a + length b) × perp height A = ½ (a+b) × h
  • 20. Radius, r Diameter, d Circumference, c Area of a circle = 3.14 × radius 2 A = π×r 2 Area & Circumference of a Circle Circumference of a circle = 3.14 × diameter C = π×D = 2×π×r
  • 21. Shape Area Triangle ½ ( L×W) Square L×W Rectangle L×W Parallelogram L × Height Trapezium (A + B) × Height 2 Circle  × r ²
  • 22.
  • 23.
  • 24. Surface Area To find the surface area of a 3D shape, imagine it laid out as a net. Calculate the area of each side and then add them together.
  • 25.
  • 26. Volume of a Cuboid This is also the same as the area of the rectangle on one end (cross section) multiplied by the length of the cuboid Volume of cuboid = length × width × height V = l × w × h
  • 27.
  • 28. Finding the Area of a Prism Volume of prism = Triangle area x length
  • 29. Area and Volume Using formulae
  • 30. Shape Area Triangle ½ ( L×W) Square L×W Rectangle L×W Parallelogram L × Perp Height Trapezium (A + B) × Height 2 Circle Area  × r ² Circle Circumference 2×  ×r or  ×D
  • 31. ……………… . cm 2 (Total 2 marks)
  • 32. ……………… . cm 2 (Total 4 marks)
  • 35. ……………… . cm 2 (Total 3 marks)