Chapter 5: Length, area, surface area and volume Notes

Circumference, arc length and sector perimeters, areas of composite shapes, circles and sectors, surface area of prisms, pyramids and cylinders, and volume of prisms and cylinders.

Sections

  1. 5A Circumference, arcs and sector perimeters Mastered

    Circumference of a circle, arc length as a fraction of the circumference, and perimeters of sectors, semicircles and composite shapes.

  2. 5B Areas of circles, sectors and composite shapes Mastered

    Area formulas for rectangles, triangles, parallelograms, trapeziums, rhombuses, circles and sectors, and areas of composite shapes by adding and subtracting.

  3. 5C Surface area of prisms and pyramids Mastered

    Using nets to find the total surface area of cubes, rectangular prisms, triangular prisms and square-based pyramids.

  4. 5D Surface area of cylinders Mastered

    The net of a cylinder, curved surface area 2πrh, total surface area 2πr² + 2πrh, and open cylinders.

  5. 5E Volume of prisms and cylinders Mastered

    Volume as area of cross-section times height for prisms and cylinders, capacity in millilitres and litres, and finding an unknown dimension.

Formula sheet