Te reo Māori terms
click each term to open in Te AkaLearning objective overview
Master Teaching Guide coverage for this objective.
Resources
- CorbettMaths worksheet on the volume of a coneQuestions PDF · Answers
- CorbettMaths worksheet on the volume of a pyramidQuestions PDF · Answers
- CorbettMaths worksheet on the volume of a sphereQuestions PDF · Answers
Terminology
- pyramid
- cone
- sphere
- volume
- base area
- perpendicular height
- radius
- in terms of pi
- scale factor
Task goals
- Find the volume of a cone, square pyramid, or rectangular pyramid using the correct formula.
- Find the volume of a sphere or hemisphere, keeping the answer in terms of pi where appropriate.
- Find a cone's perpendicular height from its radius and slant height using Pythagoras' theorem before finding the volume.
- Rearrange a volume formula to solve reverse problems (given the volume, find a missing radius, height, or base side length).
- Apply the k-cubed scale-factor rule when every length of a solid is multiplied by a constant.
- Find the total volume of a composite solid made of two joined shapes (e.g. a hemisphere joined to a cone).
Key skills
- Volume
- Pyramids
- Cones
- And
- Spheres
Quick stats
- 81 total questions
- 3 difficulty levels
- Answers included
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.




