Topic 6 · Measurement & Geometry
Area, Perimeter & Volume
Circles, Pythagoras’ theorem, surface area and volume, units of area and volume, similar solids, and compound units.
By the end of this topic you can…
- Find the area and circumference of a circle
- Use Pythagoras’ theorem to find a missing side
- Find the surface area of a prism and a cylinder
- Find the volume of any prism, including a cylinder
- Convert between small and large units of measurement
- Convert units of area and volume, and use the scale factors of similar solids
- Use and convert compound units such as speed and density
Lessons
- Circles Circumference and area, working backwards to find a radius, and dealing with semicircles and compound shapes.
- Pythagoras' Theorem Finding a missing side of a right-angled triangle — and knowing whether to add or subtract.
- Surface Area of Prisms and Cylinders Adding up the areas of every face — and the net that makes a cylinder make sense.
- Volume of Prisms and Cylinders One formula for every prism — cross-section times length — and what to do when you are given the volume instead.
- Small and Large Units of Measurement Milli, micro and nano going down; kilo, mega, giga and tera going up — and how to convert between them.
- Area and Volume Units, and Similar Solids Converting squared and cubed units, capacity, and the length, area and volume scale factors of similar shapes and solids — including working backwards.
- Compound Units — Speed, Density and Rates Speed, density, pressure and other rates; converting compound units such as km/h to m/s and g/cm³ to kg/m³; and average speed for a journey in stages.
Area, perimeter and volume quiz
Fifteen questions drawn at random from a bank of twenty-two, covering circles, Pythagoras, surface area, volume, area and volume units, similar solids and compound units. Use unless told otherwise.
15 questions · pass mark 70%