3D Shapes

3D Shapes

Volume
1. Cylinder
  1. V= πr^2 x H
  2. V= (Pi x radius) squared x Height
2. Cuboid
  1. V= L x W x H
  2. Volume= Length x Width x Height
3. Prism
  1. V= Area of cross-section x Length
  2. V= AC x L
4. REMEMBER
  1. Give in cubic units
    1. x^3
5. Cube
  1. L x 3
Surface Area
1. Formulas
  1. Cuboid
    1. 2hl x 2 hw x lw
  2. Cylinder
    1. 2πrh x 2πr^2
2. It is a sum of all the faces
3. x^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
    2. 1 x 1 x 1m
    3. =
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
Properties of 3D Shapes
1. Cube/Cuboid
  1. 6 faces
  2. 12 edges
  3. 8 edges
2. Tringular Prism
  1. 2 triangular faces
  2. 3 rectangular faces
3. Cylinder
  1. 2 circular faces
  2. 1 curved face

Resource summary

	Created by Emma Boxley over 11 years ago