Evaluate proportional and scale models
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Log in to continueUse direct and inverse proportion, dimensional scaling and measurement-error checks in practical models.
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A solid is enlarged with positive length scale factor 2. Its original volume is 3 cm³. Find the new volume.
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Answer: 24 cm³
- All three independent length dimensions scale by 2.
- Volume scale factor = 2³ = 8.
- New volume = 24 cm³.
- (2)^3 = 8.
- 3 × 8 = 24.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Use direct and inverse proportion, dimensional scaling and measurement-error checks in practical models.
Read the official VCAA curriculum description (VC2M10M04)
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- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M10M04-C01Choose k, k² or k³ for lengths, areas and volumes.
- VC2M10M04-C02Formulate and compare direct, inverse and object-scaling models.
- VC2M10M04-C03Recalculate with plausible bounds on measured inputs.
- VC2M10M04-C04Evaluate, modify and report a practical model including measurement error.
- VC2M10M04-C05Apply and explain evaluate proportional and scale models using calculate and explain each step.
- VC2M10M04-C06Apply and explain evaluate proportional and scale models using build and check a model.
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Subskills
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Descriptor-derived subskills
- D01Scale the right measureChoose k, k² or k³ for lengths, areas and volumes.
- D02Test how errors affect predictionsRecalculate with plausible bounds on measured inputs.
- D03Calculate and explain each stepApply and explain evaluate proportional and scale models using calculate and explain each step.
- D04Build and check a modelApply and explain evaluate proportional and scale models using build and check a model.