Properties of prisms | Maths | Quizalize & Oak National Academy

Starter quiz

Which of these polygons has exactly six sides?
- quadrilateral
- pentagon
- hexagon ✓
- octagon
- polygon
Match each polygon to the number of sides it has.
- equilateral triangle
  
  ⇔
  
  3 ✓
- parallelogram
  
  ⇔
  
  4 ✓
- pentagon
  
  ⇔
  
  5 ✓
- octagon
  
  ⇔
  
  8 ✓
- pentadecagon
  
  ⇔
  
  15 ✓
This is a triangular-based pyramid. This 3D shape has 4 vertices and 6 edges. It has ______ faces.
- '4' ✓
This is a triangular prism. Match the property of this object to its value.
- vertices
  
  ⇔
  
  6 ✓
- edges
  
  ⇔
  
  9 ✓
- faces
  
  ⇔
  
  5 ✓
The front face of this cuboid is parallel to which other face?
- top face
- bottom face
- left face
- right face
- back face ✓
The front and right faces of this cuboid have equal area. Which faces of this cuboid are congruent to the front face?
- top face
- bottom face
- left face ✓
- right face ✓
- back face ✓

Exit quiz

Which of these 3D shapes are prisms?
- a ✓
- b
- c ✓
- d
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?
- The base face and cross-section must be parallel to each other. ✓
- The base face and cross-section must be perpendicular to each other.
- The base face and cross-section must be congruent to each other. ✓
- The base face and cross-section must be equidistant to each other.
- The base face and cross-section must both be parallelograms.
Which of these names are appropriate for this prism?
- isosceles hexagonal prism
- hexagonal prism ✓
- regular hexagonal prism
- irregular hexagonal prism ✓
- right hexagonal prism ✓
Which of these words can used as part of the name of this prism?
- right
- oblique ✓
- parallelogram
- trapezium ✓
- isosceles ✓
Alex says: "This prism is a rectangular prism, because this face is a rectangle". Which of these statements is correct?
- Alex is correct because parallel cross-sections to this face are all rectangles.
- Alex is incorrect because this is not the face that is the cross-sectional base. ✓
- This prism is a right angled triangular prism. ✓
- This prism is definitely a right prism because there is a right angle.
Match each property of an octagonal prism to its value.
- number of vertices
  
  ⇔
  
  16 ✓
- number of edges
  
  ⇔
  
  24 ✓
- number of parallelogram faces
  
  ⇔
  
  8 ✓
- number of octagonal faces
  
  ⇔
  
  2 ✓
- number of total faces
  
  ⇔
  
  10 ✓

Worksheet

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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.

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.

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.