Exploring Cubes and Volumes in a 3D World

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Dive into a world of cubes and volumes as you unravel puzzles, calculate missing blocks, and explore various scenarios involving cubes. Discover the concepts of volume, missing cubes, colors, and more in this engaging journey through three-dimensional space.


Uploaded on Oct 01, 2024 | 0 Views


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  1. one block missing

  2. some cm. cubes are glued together and then packed in a box what is the volume of the surrounding cuboid box?

  3. how many blocks will the whole box hold? how many more blocks to fill it up?

  4. how many cubes are missing from the 4 4 4 cube?

  5. how many red cubes? the outer shell is all red

  6. assume that it is solid all the way through how many cubes?

  7. what would the volume of this be? [how many cubes would there be?] keep going .

  8. how many of each colour? how many in the next layer?

  9. how many orange cubes could there be? (i) if the cube is the same on all sides and the inside is hollow? (ii) if the cube is the same on all sides and the (not visible) inside is all orange cubes?

  10. what is the most red cubes there could be?

  11. what are the volumes of these? (1) (2) (3) (4) (5) (6)

  12. volumes (in cubes)? (7) (8) (b) (a) (9) (10) (11) (c) surface areas? (1) (2) (3) (12) (4) (5) (6) can you work this out in two different ways?

  13. how many cubes? 8 6 12 8 12 14

  14. 22 27 13 18 17

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