# 3D Shapes Worksheets

• Section 1 of the 3D shapes worksheet contains 27 skills-based 3D shapes questions, in 3 groups to support differentiation
• Section 2 contains 4 applied 3D shapes questions with a mix of worded problems and deeper problem solving questions
• Section 3 contains 4 foundation and higher level GCSE exam style questions
• Answers and a mark scheme for all questions are provided
• Questions follow variation theory with plenty of opportunities for students to work independently at their own level
• All questions created by fully qualified expert secondary maths teachers
• Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards
• Other free printable teaching resources, covering geometric shapes, including properties of 2D shapes worksheets, and area worksheets like the area of a quadrilateral, are available

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### 3D shapes at a glance

A three-dimensional shape (3D shape) (sometimes called a solid shape) has three dimensions, length, width and height. Students are expected to recognise and name common 3D shapes, such as cubes, cuboids and triangular prisms. We live in a three-dimensional world, so students should be familiar with the real life examples of different 3D shapes around them e.g. a tin of baked beans in the shape of a cylinder.

3D shape properties include the number of faces, vertices and edges. A face is a flat or curved surface. An edge is where two faces meet, and a vertex is a corner where edges meet. For example, a square-based pyramid has 5 faces (1 square and 4 triangular), 8 edges and 5 vertices, and a cuboid has 6 faces, 8 edges and 12 vertices.

A prism is a geometric shape that has a constant cross-section. If we cut a prism parallel to its end, we reveal an identical shape. For example, a hexagonal prism would consist of two hexagonal faces at either end, and six rectangular faces joining the hexagons. If we cut this prism through the rectangular faces, the shapes revealed inside would be hexagons. Another example of a prism is a cuboid (sometimes called a rectangular prism) which has all rectangular faces.

There are different 3D shapes activities students can do to learn properties of 3D shapes. For example, it can be useful for students to create a set of revision flashcards with the name, diagram and properties of each 3D shape. Creating a 3D paper model or a net or using real life examples can help students to identify faces, edges and vertices.

Looking forward, students can then progress to additional 3D shapes worksheets and more geometry worksheets, for example an angles in polygons worksheet or how to calculate volume worksheet.

For more teaching and learning support on Geometry our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.

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