Help your students prepare for their Maths GCSE with this free plans and elevations worksheet of 35 questions and answers
Plans and elevations function as 2D representations of 3D shapes. The plan view is drawn looking directly from above, and the front elevation and side elevation are drawn looking from the front and the side of the 3D shape. Plans and elevations are scale drawings, so when drawing them students should be encouraged to measure accurately, using a ruler for straight lines, compasses for circles and protractors for angles.
In a very simple case, such as a box in the shape of a cuboid, all faces are rectangular 2D shapes, so the plan view would be the top of the box, the front elevation would be the front of the box, and the side elevation would be the side of the box – and these would all be rectangles.
Students are sometimes asked to draw plans and elevations for non-standard 3D shapes made from centimetre cubes drawn on isometric paper. In this case, it can be helpful to colour-code the top, front and side faces.
It is also important that students are able to work backwards, i.e. given the plan and elevations, produce a sketch of the solid shape they represent.
Looking forward, students can then progress to additional 3D shapes worksheets and more geometry worksheets for example an angles in polygons worksheet or volume and surface area of spheres worksheet.
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