Properties of prisms
I can appreciate that all prisms have two congruent polygonal parallel faces (bases) with parallelogram faces joining the corresponding vertices of the bases.
- Year 8
Properties of prisms
I can appreciate that all prisms have two congruent polygonal parallel faces (bases) with parallelogram faces joining the corresponding vertices of the bases.
Lesson details
Key learning points
- Prisms are 3D shapes with a cross-section that is a uniform polygon.
- All prisms will have a pair of parallel faces that are congruent.
- This polygon cross section is often used to name the prism.
- The sides connecting the bases are parallelograms.
Keywords
Prism - A prism is a polyhedron with a base that is a polygon and a parallel opposite face that is identical.
Cross-section - A cross section is a 2D face made from cutting straight through any plane of a 3D object.
Common misconception
I can tell a 3D shape is a prism because the 2D faces on both ends are congruent.
The cross-sectional face must be the same throughout, not just at the two ends of the shape. Also, the two end faces must be parallel.
Equipment
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.Which of these polygons has exactly six sides?
Q2.Match each polygon to the number of sides it has.
Q3.This is a triangular-based pyramid. This 3D shape has 4 vertices and 6 edges. It has faces.
Q4.This is a triangular prism. Match the property of this object to its value.
Q5.The front face of this cuboid is parallel to which other face?
Q6.The front and right faces of this cuboid have equal area. Which faces of this cuboid are congruent to the front face?
Assessment exit quiz
6 Questions
Q1.Which of these 3D shapes are prisms?
Q2.This 3D shape is a prism. The base face and cross-section shown were used to help identify this shape as a prism. Which of these statements must be true?
Q3.Which of these names are appropriate for this prism?
Q4.Which of these words can used as part of the name of this prism?
Q5.Alex says: "This prism is a rectangular prism, because this face is a rectangle". Which of these statements is correct?
Q6.Match each property of an octagonal prism to its value.
