GCSE Maths revision · Geometry and measures

Plans, elevations and solids

Foundation and Higher

The idea

A plan is the view from above; a front or side elevation is the view from the front or side. Each is a flat 2D drawing, with no perspective.

  1. Picture looking straight down (plan) or straight at a face (elevation).
  2. Draw only what you would see, with full lines for edges.
  3. Use the grid to keep each length to scale.

Watch out An elevation is flat: do not draw it as a 3D sketch.

See it worked

Worked exampleNon-calculator1 mark

How many edges does a triangular prism have?

  1. The two triangular faces each have 3 edges: 2 ×\times 3 = 6.
  2. Three more edges join corresponding vertices, so 6 + 3 = 9.

Answer 99

Your turn

Question 1Non-calculator3 marks

A triangular prism has two triangular ends joined by rectangles.

(a) Write down the number of faces of a triangular prism.

(b) Write down the number of edges.

(c) Write down the number of vertices.

Question 2Non-calculator2 marks

A solid is made from unit cubes in six stacks on a 3-column by 2-row rectangular base. From left to right, the front-row stack heights are 2, 1 and 4 cubes; the back-row heights are 3, 5 and 2 cubes. There are no gaps inside any stack. How many unit squares are in the front elevation?

Question 3Non-calculator6 marks

A cuboid has front width 1.2 m, height 0.75 m and depth 40 cm. Its front face is viewed straight on.

(a) Which shape is the front elevation? Select one answer.

(b) Find the area of the front elevation in square centimetres.

(c) Find the volume in litres. Use 1000 cubic centimetres = 1 litre.

(a)

In past papers

66 official questions in 62 papers since 2017. The latest:

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