Volume and surface area of solids
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Log in to continueMeasure right prisms, cylinders and composite solids using appropriate square and cubic units.
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A right rectangular prism is 3 cm long, 2 cm wide and 2 cm high. Find its volume.
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Answer: 12 cm³
- Base area = 3 × 2 = 6 cm².
- Volume = base area × height = 12 cm³.
- 3 × 2 × 2 = 12.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Measure right prisms, cylinders and composite solids using appropriate square and cubic units.
Read the official VCAA curriculum description (VC2M9M01)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
Activities to practise beyond the quiz
- 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.
- VC2M9M01-C01Separate volume from surface area.
- VC2M9M01-C02Model and calculate composite solids, including hidden joined faces.
- VC2M9M01-C03Use the radius and perpendicular height of a right circular cylinder.
- VC2M9M01-C04Construct and analyse cylinder or composite models.
- VC2M9M01-C05Apply and explain volume and surface area of solids using read and connect representations.
- VC2M9M01-C06Apply and explain volume and surface area of solids using build and check a model.
- VC2M9M01-C07Apply and explain volume and surface area of solids using calculate and explain each step.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Right-prism measuresSeparate volume from surface area.
- D02Circular basesUse the radius and perpendicular height of a right circular cylinder.
- D03Read and connect representationsApply and explain volume and surface area of solids using read and connect representations.
- D04Build and check a modelApply and explain volume and surface area of solids using build and check a model.
- D05Calculate and explain each stepApply and explain volume and surface area of solids using calculate and explain each step.