Volume and capacity of right prisms
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Log in to continueUse equal cross-sections to find volume and convert between cubic and capacity units.
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A right prism has cross-sectional area 12 cm² and length 8 cm. What is its volume?
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Answer: 96 cm³
- Volume = cross-sectional area × length.
- 12 × 8 = 96 cm³. Every equal slice has the same cross-section.
- 12 × 8 = 96.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Use equal cross-sections to find volume and convert between cubic and capacity units.
Read the official VCAA curriculum description (VC2M8M02)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
- VC2M8M02-C01Calculate right-prism volume using cross-sectional area.
- VC2M8M02-C02Connect cubic centimetres, millilitres and litres.
- VC2M8M02-C03Calculate volume when the prism has a triangular cross-section.
- VC2M8M02-C04Apply and explain volume and capacity of right prisms using read and connect representations.
- VC2M8M02-C05Apply and explain volume and capacity of right prisms using calculate and explain each step.
- VC2M8M02-C06Apply and explain volume and capacity of right prisms using work backwards from what is known.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Equal slices make a prismCalculate right-prism volume using cross-sectional area.
- D02Cubic space and liquid capacityConnect cubic centimetres, millilitres and litres.
- D03Find the cross-section firstCalculate volume when the prism has a triangular cross-section.
- D04Read and connect representationsApply and explain volume and capacity of right prisms using read and connect representations.
- D05Calculate and explain each stepApply and explain volume and capacity of right prisms using calculate and explain each step.
- D06Work backwards from what is knownApply and explain volume and capacity of right prisms using work backwards from what is known.