3D Shapes

Description

AQA IGCSE Maths (EOY exams yr 8) Mind Map on 3D Shapes, created by Emma Boxley on 05/05/2013.
Emma Boxley
Mind Map by Emma Boxley, updated more than 1 year ago
Emma Boxley
Created by Emma Boxley almost 11 years ago
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1

Resource summary

3D Shapes
  1. Volume
    1. Cylinder
      1. V= πr^2 x H
        1. V= (Pi x radius) squared x Height
        2. Cuboid
          1. V= L x W x H
            1. Volume= Length x Width x Height
            2. Prism
              1. V= Area of cross-section x Length
                1. V= AC x L
                2. REMEMBER
                  1. Give in cubic units
                    1. x^3
                  2. Cube
                    1. L x 3
                  3. Surface Area
                    1. Formulas
                      1. Cuboid
                        1. 2hl x 2 hw x lw
                        2. Cylinder
                          1. 2πrh x 2πr^2
                        3. It is a sum of all the faces
                          1. x^2
                          2. Converting Volume Units
                            1. Example
                              1. A cube has the length of 1m. This is the same as a length of 100cm. Therefore, 1m^3 = 1000000cm^3
                              2. 1m^3 = 1000000cm^3
                                1. Why?
                                  1. 100 x 100 x 100cm
                                    1. 1 x 1 x 1m
                                      1. =
                                  2. Volumes of Enlargements
                                    1. Example
                                      1. If a cube of length 1cm is enlarged by a scale factor of 2, what is the volume of the new shape?
                                        1. Before = 1^3 Now= 2^3
                                          1. 8
                                    2. Properties of 3D Shapes
                                      1. Cube/Cuboid
                                        1. 6 faces
                                          1. 12 edges
                                            1. 8 edges
                                            2. Tringular Prism
                                              1. 2 triangular faces
                                                1. 3 rectangular faces
                                                2. Cylinder
                                                  1. 2 circular faces
                                                    1. 1 curved face
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