3D Shapes

Emma Boxley
Mind Map by , created over 6 years ago

AQA IGCSE Maths (EOY exams yr 8) Mind Map on 3D Shapes, created by Emma Boxley on 05/05/2013.

88
1
0
Tags
Emma Boxley
Created by Emma Boxley over 6 years ago
Fractions and percentages
Bob Read
GCSE Maths Symbols, Equations & Formulae
Andrea Leyden
Using GoConqr to study Maths
Sarah Egan
English Speech Analysis Terminology
Fionnghuala Malone
GCSE AQA Chemistry Atomic Structure and Bonding
Joseph Tedds
New GCSE Maths
Sarah Egan
HISTOGRAMS
Elliot O'Leary
GCSE Maths: Geometry & Measures
Andrea Leyden
New GCSE Maths required formulae
Sarah Egan
FREQUENCY TABLES: MODE, MEDIAN AND MEAN
Elliot O'Leary
3D Shapes
1 Volume
1.1 Cylinder
1.1.1 V= πr^2 x H
1.1.2 V= (Pi x radius) squared x Height
1.2 Cuboid
1.2.1 V= L x W x H
1.2.2 Volume= Length x Width x Height
1.3 Prism
1.3.1 V= Area of cross-section x Length
1.3.2 V= AC x L
1.4 REMEMBER
1.4.1 Give in cubic units
1.4.1.1 x^3
1.5 Cube
1.5.1 L x 3
2 Surface Area
2.1 Formulas
2.1.1 Cuboid
2.1.1.1 2hl x 2 hw x lw
2.1.2 Cylinder
2.1.2.1 2πrh x 2πr^2
2.2 It is a sum of all the faces
2.3 x^2
3 Converting Volume Units
3.1 Example
3.1.1 A cube has the length of 1m. This is the same as a length of 100cm. Therefore, 1m^3 = 1000000cm^3
3.2 1m^3 = 1000000cm^3
3.2.1 Why?
3.2.1.1 100 x 100 x 100cm
3.2.1.2 1 x 1 x 1m
3.2.1.3 =
4 Volumes of Enlargements
4.1 Example
4.1.1 If a cube of length 1cm is enlarged by a scale factor of 2, what is the volume of the new shape?
4.1.1.1 Before = 1^3 Now= 2^3
4.1.1.1.1 8
5 Properties of 3D Shapes
5.1 Cube/Cuboid
5.1.1 6 faces
5.1.2 12 edges
5.1.3 8 edges
5.2 Tringular Prism
5.2.1 2 triangular faces
5.2.2 3 rectangular faces
5.3 Cylinder
5.3.1 2 circular faces
5.3.2 1 curved face

Media attachments