Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
GM5-4GM5-6
New NZC (2026)
NZC26-P4-MEA-MEA-P-Y10-03NZC26-P4-MEA-MEA-P-Y10-07NZC26-P4-MEA-MEA-K-Y10-04NZC26-P4-MEA-MEA-P-Y10-05
Resources
- Dr Austin Maths - Surface Area of Cubes and Cuboids Practice Grid: PDF
- Dr Austin Maths - Surface Area of Cubes and Cuboids Practice Grid: Answers
- Dr Austin Maths - Surface Area of Cuboids and Prisms Practice Grid: PDF
- Dr Austin Maths - Surface Area of Cuboids and Prisms Practice Grid: Answers
- Dr Austin Maths - Surface Area of Cylinders, Cones and Spheres Practice Grid: PDF
- Dr Austin Maths - Surface Area of Cylinders, Cones and Spheres Practice Grid: Answers
- Dr Austin Maths - Volume and Surface Area of Compound Shapes Practice Grid: PDF
- Dr Austin Maths - Volume and Surface Area of Compound Shapes Practice Grid: Answers
- Dr Austin Maths - Volume and Surface Area of Curved Compound Shapes Practice Grid: PDF
- Dr Austin Maths - Volume and Surface Area of Curved Compound Shapes Practice Grid: Answers
- Dr Austin Maths - Volume and Surface Area Revision Practice Grid: PDF
- Dr Austin Maths - Volume and Surface Area Revision Practice Grid: Answers
- CorbettMaths worksheet on Cubes and CuboidsQuestions PDF · Answers
- CorbettMaths worksheet on L-shapesQuestions PDF · Answers
- CorbettMaths worksheet on CylindersQuestions PDF · Answers
- Beta: Exercise 17.07, pgs 329 & 330
- Beta: Exercise 17.08, pgs 332 & 333
Terminology
- surface area
- net
- prism
- cylinder
- cube
- cuboid
- curved surface
- compound shape
Task goals
- Interpret a net as a representation of a 3D shape and use it to calculate surface area by adding the areas of individual faces.
- Calculate surface area of cuboids and cubes using the formula and by decomposing into individual faces.
- Calculate surface area of triangular prisms and other prisms using nets or face-by-face decomposition.
- Understand and apply the surface area formula for cylinders ($2\pi r^2 + 2\pi rh$) and connect it to the cylinder net.
- Solve applied problems involving surface area of prisms and cylinders, including compound shapes made from multiple solids.
Where this fits
What leads into this objective, and where it goes next.
Before
Area of L-shapes and composite shapes
Measurement applications: design and justify
Converting units
You are here
Surface area
Do
Finding: the area of circles and composite shapes that include circles or semicircles; the surface area and volume or capacity of prisms, pyramids, and cylinders
Statement▸
Year 10 · Measurement · Measuring
NZC26-P4-MEA-MEA-P-Y10-03
Do
Calculating the surface area of cubes, rectangular prisms, triangular prisms, cylinders, and composite figures
Statement▸
Year 10 · Measurement · Measuring
NZC26-P4-MEA-MEA-P-Y10-07
Also under GM5-4:
- Volume of prism
- Liquid volume
- Measurement applications: surface area and paint
- Measurement applications: compound shapes
Also under GM5-6:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.