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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
GM5-4
New NZC (2026)
NZC26-P4-MEA-MEA-P-Y10-03NZC26-P4-MEA-MEA-P-Y10-07NZC26-P4-MEA-MEA-P-Y10-05NZC26-P4-MEA-MEA-P-Y10-08NZC26-P4-MEA-MEA-K-Y10-05NZC26-P3-MEA-MEA-K-Y8-04NZC26-P3-MEA-MEA-P-Y8-07NZC26-P3-MEA-MEA-P-Y8-08
Resources
- Alpha textbook: Volume of prisms in Ex 24.04, pg 382
- Alpha textbook: Volume of prisms (harder) in PSC 24A
- Alpha textbook: Application of volume in Ex 24.05, pgs 383 – 385
- CorbettMaths worksheetQuestions PDF · Answers
- Beta: Skills in Ex 17.01, 17.03, pg 317, 320
- Beta: Exercise 17.03, pgs 320 & 321
- Beta: Exercise 17.04, pgs 321 & 322
- Beta: Exercise 17.05, pg 323
Terminology
- volume
- prism
- cylinder
- base area
- cross-section
- depth
- length
- height
- three-dimensional
- cubic units
- triangular prism
- rectangular prism
Task goals
- Apply the volume formula (volume = base area × depth) to calculate volumes of prisms with different cross-sectional shapes.
- Find missing dimensions when volume and other measurements are known using inverse operations.
- Solve real-world problems involving prism volumes and compare volumes of different prisms.
- Understand that the volume formula applies to all prisms with uniform cross-sections, including cylinders.
Where this fits
What leads into this objective, and where it goes next.
Before
Measurement applications: compound 3D shapes
Measurement applications: design and justify
Area of L-shapes and composite shapes
You are here
Volume of prism
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:
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.