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