VC2M7M02 Official strand: Measurement

Volume from a constant cross-section

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Calculate rectangular and triangular right-prism volumes.

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A rectangular prism is 5 cm long, 4 cm wide and 3 cm high. What is its volume?

A59 cm³ B60 cm³ C600 cm³ D61 cm³

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Answer: 60 cm³

Base area = 5 × 4 = 20 cm².
Multiply by height 3: 60 cm³.

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Curriculum reference

Victorian Curriculum F–10 Version 2.0

Pi Leo practice scope

Calculate rectangular and triangular right-prism volumes.

Read the official VCAA curriculum description (VC2M7M02)

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VC2M7M02-C01A rectangular prism contains layers of rectangular area. Its volume is length × width × height in cubic units.
VC2M7M02-C02For a right triangular prism, multiply half the base × perpendicular triangle height by the prism length.
VC2M7M02-C03An area multiplied by a perpendicular length gives a volume. Do not confuse an area measure with the prism’s full length.
VC2M7M02-C04Representing and explaining a prism-volume calculation in a practical model.

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Descriptor-derived subskills

D01
Multiply three perpendicular lengthsA rectangular prism contains layers of rectangular area. Its volume is length × width × height in cubic units.
D02
Find the triangular end area firstFor a right triangular prism, multiply half the base × perpendicular triangle height by the prism length.
D03
Track the dimensions and unitsAn area multiplied by a perpendicular length gives a volume. Do not confuse an area measure with the prism’s full length.