3D shapes: faces, edges, vertices
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Statistics
Sets and Venn diagrams
Sampling and bias
Collecting data: types and classes of data
Mean, median, mode and range
Simple charts and graphs
Pie charts
Scatter graphs
Frequency tables: finding averages
Grouped frequency tables
Box plots - Higher
Cumulative frequency - Higher
Histograms and frequency density - Higher
Interpreting data
Comparing data sets
Probability
Trigonometry
Angles and geometry
Shapes and area
Properties of 2D shapes
Congruence: conditions for congruent triangles
Similar shapes: Scaling
The four transformations
Area and perimeter: Formulae
Area and circumference of circles: Formulae
3D shapes: faces, edges, vertices
Surface area of 3D shapes: Nets, formulae
Volume of 3D shapes: Formulae
Volume of 3D shapes: Comparing, rates of flow
Area and volume scale factors
Projections and elevations of 3D shapes
Ratio proportion and rates of change
Graphs
Coordinates and midpoints
Straight line graphs
Drawing straight line graphs
Finding the gradient of a straight line
Equation of a straight line: y = mx + c
Coordinates and ratio
Parallel and perpendicular lines
Quadratic graphs
Reciprocal and cubic graphs
Exponential graphs and circles - Higher
Trigonometric graphs - Higher
Solving equations using graphs
Graph transformations - Higher
Real-life graphs
Distance-time graphs
Velocity-time graphs - Higher
Gradients of real-life graphs - Higher
Algebra
Simplifying algebraic expressions
Multiplying and dividing algebraic expressions
Single brackets: Expanding and factorising
Double brackets: Expanding and factorising
Double and triple brackets - Higher
Solving equations
Expressions, equations, formulae, functions and identities
Writing formulae and equations from word problems
Writing formulae and equations from diagrams
Rearranging formulae
Factorising quadratics
The quadratic formula - Higher
Complete the square - Higher
Algebraic fractions - Higher
Sequences
Finding the nth term
Solving inequalities
Inequalities on graphs - Higher
Iteration - Higher
Simultaneous equations: elimination and substitution
Non-linear simultaneous equations - Higher
Algebraic proof - Higher
Composite and inverse functions - Higher
Number
Types of numbers
Order of operations: BODMAS
Multiplying and dividing by powers of 10
Multiplying and dividing whole numbers
Multiplying and dividing decimals
Negative numbers: add, subtract, multiply, divide
Prime numbers and prime factorisation
Multiples, factors and prime factors
LCM and HCF
Fractions
Fractions, decimals and percentages
Writing recurring decimals as fractions
Rounding: Integers, decimal places, significant figures
Estimation
Error intervals
Upper and lower bounds - Higher
Powers and roots: Square and cube numbers
Laws of indices: multiply, divide, brackets
Index laws: negative and fractional indices - Higher
Surds: Simplify, add and subtract - Higher
Rationalising surds - Higher
Standard form calculations
Explainer Video
Summary
3D shapes: faces, edges, vertices
In a nutshell
There are eight main 3D shapes that you need to learn. 3D shapes also have their own parts that can be labelled such as faces, edges and vertices.
Names of common 3D shapes
Here are a list of 3D shapes you need to know.
name | illustration |
| Cube |  |
| Cuboid |  |
| Sphere |  |
| Cylinder |  |
| Square-based pyramid |  |
| Triangular-based pyramid (also known as a tetrahedron) |  |
| Cone |  |
| Triangular prism |  |
Labelling 3D shapes
There are three important terms to know when dealing with 3D shapes.
name | Definition |
| Face | A flat (2D) surface on the 3D shape |
| Edge | A line where two faces meet |
| Vertex | A point where two or more edges meet |
Example 1
How many faces, edges and vertices does a cube have?
| By drawing a transparent cube, it can be seen that a cube has:
|  |
FAQs - Frequently Asked Questions
What is the face of a 3D shape?
A face of a 3D shape is a flat (2D) surface.
What is an edge of a 3D shape?
The edge of a 3D shape is a line where two faces meet.
What is a vertex of a 3D shape?
The vertex of a 3D shape is a point where 2 or more edges meet.
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