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Shape and Space

Shape and Space. Volume Level 4. A. Counting cubes. length. What is a cube?. height. width. A cube is a solid shape with 3 dimensions:. width. height =. length =. keywords. A. Counting cubes. length. What is a cube?. Dice are examples of cubes. height. width.

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Shape and Space

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  1. Shape and Space Volume Level 4

  2. A. Counting cubes. length What is a cube? height width A cube is a solid shape with 3 dimensions: width height = length = keywords

  3. A. Counting cubes. length What is a cube? Dice are examples of cubes. height width A cube is a solid shape with 3 dimensions: width height = length = Each dimension has the same measurement.

  4. A. Volume of a cube. Calculate the volume of one cube: 1cm length = 1cm This is sometimes called a ‘centicube’ 1cm height = 1cm 1cm width = 1cm keyword ( ) ( ) ( ) length × width Volume = height × = 1cm3 cubed

  5. Volume of cuboids. keyword A cuboid is a name given to a solid rectangular box shape. One row Q: What is the volume for this row of centicubes? (4 centimetres cubed) A: Volume = 4 × 1cm3 = 4cm3

  6. 4 3 2 1 This cuboid has one layer. This layer has three rows. Each row has four centicubes. 4 = 12 cm3 1 3 Volume = layers × rows × centicubes

  7. ( ) rows × centicubes ( ) ( ) Volume of a cuboid = layers × = 24 cm3 2 × layers 2 4 × centicubes 4 3 × rows 3

  8. B. Calculating the volume of cuboids = 24 cm3 Volume of cuboid = layers × rows × centicubes ( 2 ) × ( 3 ) × ( 4 ) This means we don’t need to count cubes now! height height = 2cm length length = 4cm width width = 3cm

  9. Calculate the volume of the cuboid below with the following dimensions: Does it matter which edge is length, width or height? 4 4 cm 2 2 cm 7 7 cm ( ) Volume = height × width × length ( ) ( ) = 56 cm3

  10. Does it matter which edge is length, width or height? height height width width length Length If this cuboid is tipped on to another side: Volume is a product of all three edges, it does not matter how each edge is labelled!

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