# 3D Shapes

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.

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 Created by Emma Boxley over 6 years ago
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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