Coloured Cube 3D
Colour in the remaining faces of the nets of the cubes to match the rotating three-dimensional picture.
Cube Face Meetings
Visualise the cubes formed by the nets and paint the three faces meeting at a vertex.
Cubical Net Challenge
Find all the ways of painting the faces of cubes using only two colours.
Apply formulae for the volumes and surface areas of cylinders to answer a wide variety of questions
Dice Net Challenge
Drag the numbers onto the net so that when it is folded to form a cube numbers on opposite faces add up to prime numbers.
Faces, Edges and Vertices
Calculate the number of faces, edges and vertices on 3D Shapes.
Net or Not
Drag the nets into the corresponding panels to show whether they would fold to form a cube.
Plans and Elevations
Interpret plans and elevations of three dimensional shapes.
Puzzle Cube Net
A jumbled moving-block puzzle cube is shown as a net. Can you solve it?
Questions about the scale factors of lengths, areas and volumes of similar shapes.
Work out the surface areas of the given solid shapes.
Use formulae to solve problems involving the volumes of cuboids, cones, pyramids, prisms and composite solids.
Yes No Questions
A game to determine the mathematical item by asking questions that can only be answered yes or no.
What are platonic solids and why are there only five of them?
Tetrahedron and Pyramid
A tetrahedron and a pyramid have edges of equal length. If they are glued together on a triangular face with the vertices aligned, how many faces will the new shape have?
Volumes of Cylinders
Dr Frost demonstrates how to find the volume of a cylinder with a number of worked examples.
3D Trigonometry Presentation
A slide presentation (a poem) introducing using trigonometry (including Pythagoras' Theorem) to find lengths and angles on three dimensional shapes.
This is a simple interactive that does nothing more than allow you to create 3D drawings of models made with cubes.
The Great Dodecahedron
Pupils are not allowed to use their hands to point but must describe fully any shapes they can see in this picture.
Determine whether the given nets would fold to produce a dice.
A dice is reflected in two mirrors. What numbers can be seen?
Faces and Edges
Find the number of faces, edges and vertices on some familiar objects.
How many triangles are there on the surface of a regular icosahedron.
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Teachers might find the complete Shape (3D) Topic List useful.
A particular skill is required to be able to excel in this area of Mathematics. Spatial awareness is important for solving multi-step problems that arise in areas such as architecture, engineering, science, art, games, and everyday life. Children have varying abilities visualizing three dimensional relationships but these abilities can be developed through practical activities and working through mathematical problems. Breaking down three dimensional situations into smaller two dimensional parts in an important strategy for problem solving.
See also the "Shape" Starters.