Surface area of prisms | Maths | Quizalize & Oak National Academy

Starter quiz

The area of a rectangle with a width of 7 cm and a length of 12 m is ______m².
- '84' ✓
The area of a triangle with a base length of 14 cm and a perpendicular height of 8 cm is ______ cm².
- '56' ✓
The area of a trapezium is being calculated ${\text {Area}}={{1}\over{2}} \times {(6+16)} \times {12} = 132 \text{ cm}^2$ . What is the perpendicular height of this trapezium?
- 6
- 12 ✓
- 16
- 22
A prism is a polyhedron with a base that is a ______ and a parallel opposite face that is identical. The corresponding edges of the two polygons are joined by parallelograms.
- 'polygon' ✓
The perimeter of this shape is______ cm.
- '46' ✓
Match the shape of the base with the name of the prism.
- rectangular base
  
  ⇔
  
  cuboid ✓
- square base
  
  ⇔
  
  cube ✓
- pentagonal base
  
  ⇔
  
  pentagonal prism ✓
- triangular base
  
  ⇔
  
  triangular prism ✓

The surface area is the ______ area of all the surfaces of a closed 3D shape. The surfaces include all faces and any curved surfaces.
- 'total' ✓
Which of these are nets for a cube?
Here is a right prism. Which of these descriptions is correct?
- The prism has 6 different shaped faces.
- The prism has 6 faces, two are parallelograms and four are rectangles.
- The prism has 6 faces, two are trapeziums and four are rectangles. ✓
- The prism has 6 faces, two are isosceles triangles and four are rectangles.
The areas of the faces of a triangular prism are $24\text{ cm}^2,24\text{ cm}^2,50\text{ cm}^2, 40\text{ cm}^2\text{ and }30\text{ cm}^2$ respectively. The surface area is ______ $\text{ cm}^2$ .
- '168 ' ✓
$The surface area of this right-angled isosceles triangular prism is <span class="blank">______</span> <Math>\text{ cm}^2</Math>.$

The surface area of this right-angled isosceles triangular prism is ______ $\text{ cm}^2$ .
- '240.2 ' ✓
In a right prism, the rectangular faces can be seen as one large rectangle. The dimensions of the large rectangle are the ______ of the base by the length of the prism.
- 'perimeter' ✓

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The surface area of a 3D shape is the sum of the area of all the faces.
The net of a prism can help find the surface area of a prism but can be time consuming.
By using known area facts, the area of all the faces can be found and summed.
It is important to find the surface area systematically and efficiently.

Pupils may try to avoid sketching of nets or faces and in turn miss information.

Reassure pupils that a sketch does not need to be perfect and just needs to convey the key information.

Prism - polyhedron with base and identical parallel opposite side with corresponding edges joined by parallelograms.
Faces - Faces are the flat 2D surfaces of a 3D shape.
Nets - The net of a 3D object is a 2D representation of its faces that can be folded up into the 3D object.
Surface area - The surface area is the total area of all the surfaces of a closed 3D shape. The surfaces include all faces and any curved surfaces.