Shape (3D)

Activities

Coloured Cube 3D
Activity
Colour in the remaining faces of the nets of the cubes to match the rotating three-dimensional picture.

Cube Face Meetings
Activity
Visualise the cubes formed by the nets and paint the three faces meeting at a vertex.

Cubical Net Challenge
Activity
Find all the ways of painting the faces of cubes using only two colours.

Cylinders
Activity
Apply formulae for the volumes and surface areas of cylinders to answer a wide variety of questions

Dice Net Challenge
Activity
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
Activity
Calculate the number of faces, edges and vertices on 3D Shapes.

Net or Not
Activity
Drag the nets into the corresponding panels to show whether they would fold to form a cube.

Plans and Elevations
Activity
Interpret plans and elevations of three dimensional shapes.

Puzzle Cube Net
Activity
A jumbled moving-block puzzle cube is shown as a net. Can you solve it?

Similar Shapes
Activity
Questions about the scale factors of lengths, areas and volumes of similar shapes.

Surface Area
Activity
Work out the surface areas of the given solid shapes.

Volume
Activity
Use formulae to solve problems involving the volumes of cuboids, cones, pyramids, prisms and composite solids.

Yes No Questions
Activity
A game to determine the mathematical item by asking questions that can only be answered yes or no.

Videos

Platonic Solids
Activity
What are platonic solids and why are there only five of them?

Tetrahedron and Pyramid
Activity
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
Activity
Dr Frost demonstrates how to find the volume of a cylinder with a number of worked examples.

Visual Aids

3D Trigonometry Presentation
Activity
A slide presentation (a poem) introducing using trigonometry (including Pythagoras' Theorem) to find lengths and angles on three dimensional shapes.

Cube Construction
Activity
This is a simple interactive that does nothing more than allow you to create 3D drawings of models made with cubes.

The Great Dodecahedron
Activity
Pupils are not allowed to use their hands to point but must describe fully any shapes they can see in this picture.

Starters

Starter
Dice Nets
Determine whether the given nets would fold to produce a dice.

Starter
Dice Reflections
A dice is reflected in two mirrors. What numbers can be seen?

Starter
Faces and Edges
Find the number of faces, edges and vertices on some familiar objects.

Starter
Icosahedron
How many triangles are there on the surface of a regular icosahedron.

20 items are currently in this category.

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.


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