Nets, plans and elevations

Part ofMathsGeometry and measure

Key points about nets, plans and elevations

Bullet points represented by lightbulbs
  • The of a 3D shape is what a shape looks like when it is opened out into a 2D shape.

  • Plans and elevations are 2D drawings of a 3D shape when looked at from different perspectives.

  • dot paper is used to draw or visually represent a 3D shape.

When drawing nets to create 3D models, make sure you know how to measure properly using a ruler, and are confident with the process for constructing accurate triangles.

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What are nets?

There are eleven different net options for a cube

The net of a 3D shape is what the shape looks like when it is unfolded and laid flat.

For example, there are 11 different possible nets for a cube. The net in the shape of a cross, in the top left of the image, is the most commonly used.

There are eleven different net options for a cube
The nets of a cuboid and tetrahedron

The net of any 3D shape, such as a cuboid or tetrahedron, can be drawn, but each face must be measured and constructed accurately.

Find out more about drawing nets

GCSE exam-style questions

  1. Complete the net for the triangular prism.

The two-dimensional shapes that form a net can be arranged in different ways for a particular 3D shape, so the positions of the triangles in the net can be varied.

Two rectangles, representing the two sides that are 90 degrees to each other, are drawn to start off the net for the triangular prism.

  1. A cuboid measures 6 cm by 3 cm by 3 cm. Complete the net for the cuboid.
A cuboid equal to 3 by 3 by 6 centimetres. One of the larger rectangular sides is drawn on grid paper.

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How to draw plans and elevations

A 3 by 4 by 5 cuboid made up smaller cubes and drawn on isometric dot paper
Image caption,
This 5 by 4 by 3 cuboid has been drawn from an isometric perspective on isometric dot paper.

Plans and elevations are 2D drawings of a 3D shape when looked at from different perspectives.

  • A plan is a scale drawing showing a 3D shape when it is looked at from above.

  • An elevation is the view of a 3D shape when it is looked at from the side or from the front.

A 3 by 4 by 5 cuboid made up smaller cubes and drawn on isometric dot paper
Image caption,
This 5 by 4 by 3 cuboid has been drawn from an isometric perspective on isometric dot paper.

Find out more about drawing plans and elevations

GCSE exam-style questions

  1. Here is the front elevation, side elevation and plan view of a 3D shape.

What is the name of the shape?

The front and side elevations are congruent rectangles and the plan view is a circle

  1. A solid shape is drawn on isometric dot paper.

Using squared paper, draw the front elevation, side elevation and plan view of the 3D shape.

A shape consisting of 7 cubes. 6 cubes are laid flat in an upside-down L shape, with a line of 3 cubes at the top and 3 cubes going down from the furthest right cube. The final cube sits on top of the cube in position 2 from the end of the cubes in a row of 4.

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Quiz – Nets, plans and elevations

Practise what you've learned about nets, plans and elevations with this quiz.

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Now you've revised nets, plans and elevations, why not learn about line and rotational symmetry?

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