Surface area, volume and measurement.
Use face areas, cross-sections and suitable units to solve prism and cylinder problems. Check measurement error and judge how precise a result should be.
Work through the topic
Learn the method, follow the examples, then try the worksheet.
- 01
Nets and surface area of right prisms
Use a net to count every exposed face of a right prism, including triangular ends.
- 02
Cylinder surface area
Unroll the curved surface of a cylinder and decide which circular ends are included.
- 03
Prism/cylinder volume and capacity
Use cross-sectional area and height to calculate volume, then connect cubic units with liquid capacity.
- 04
Unit conversion
Convert length, area, volume and capacity using the correct power of the unit scale.
- 05
Absolute, relative and percentage error
Describe how far a measurement is from an accepted value and compare errors fairly.
- 06
Interpreting precision and reasonable answers
Choose an appropriate final precision and spot answers that do not fit the size of a problem.
- 07
Multi-step measurement problems
Plan a multi-step measurement solution and make the practical assumptions visible.
Topic review
Revisit the key ideas, then choose a practice paper.