Cross-sections and right prisms
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A right prism has matching end faces in the shape of a square. The ends are 3 cm apart. A cut is parallel to them. What is the most specific shape name for the cross-section among these choices?
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Answer: Square
- Parallel cross-sections of a right prism match its end shape.
- The section is a square.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Recognise a constant shape through a prism and compare other solids.
Read the official VCAA curriculum description (VC2M6SP01)
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- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M6SP01-C01A right prism has congruent parallel polygon ends. Slices parallel to those ends repeat their shape and size.
- VC2M6SP01-C02A prism keeps its parallel cross-section constant. A cone or pyramid narrows, so slices parallel to the base change size.
- VC2M6SP01-C03Physically comparing parallel cross-sections and relating them to right prisms.
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Descriptor-derived subskills
- D01Recognise a parallel cross-sectionA right prism has congruent parallel polygon ends. Slices parallel to those ends repeat their shape and size.
- D02Distinguish constant and changing sectionsA prism keeps its parallel cross-section constant. A cone or pyramid narrows, so slices parallel to the base change size.