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Today we will investigate the volume of cubes

Today we will investigate the volume of cubes. DESCRIPTION OF A CUBE. WHAT IS A CUBE?. DESCRIPTION OF A CUBE. A cube is a three-dimensional geometric figure with all sides made of squares called faces. How many faces does a cube have?. DESCRIPTION OF A CUBE. IT HAS 6 FACES. 5. 2. 4. 3.

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Today we will investigate the volume of cubes

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  1. Today we will investigate the volume of cubes

  2. DESCRIPTION OF A CUBE • WHAT IS A CUBE?

  3. DESCRIPTION OF A CUBE • A cube is a three-dimensional geometric figure with all sides made of squares called faces. • How many faces does a cube have?

  4. DESCRIPTION OF A CUBE • IT HAS 6 FACES. 5 2 4 3 1 6

  5. DESCRIPTION OF A CUBE • Two faces intersect in a segment called an edge. • How many edges does a cube have?

  6. DESCRIPTION OF A CUBE • IT HAS 12 EDGES. width height length

  7. DESCRIPTION OF A CUBE • Three faces intersect in a point called a vertex. • How many vertices does a cube have?

  8. DESCRIPTION OF A CUBE • IT HAS 8 VERTICES. 6 7 2 3 5 8 1 4

  9. BUILDING CUBES • Complete the cube table using a single cube. • Surface area is the sum of the areas of all the faces. • Volume is the number of cubes needed for the figure – or how many cubes will fit inside the shape.

  10. BUILDING CUBES Compare your answer.

  11. BUILDING CUBES • Use the snap cubes to build the next larger cube. • What is the size of the cube?

  12. BUILDING CUBES • The size of the cube is 2 x 2 x 2 or 2 units length x 2 units width x 2 units height. • Complete the cube table for this single cube.

  13. BUILDING CUBES • How do your answers compare with these?

  14. BUILDING CUBES • Look at your answers for the 1x1x1 cube and the 2x2x2 cube. Do you notice any patterns on the table? • Now build the next larger cube. • How large is the cube?

  15. BUILDING CUBES • Size of the cube is 3x3x3. • Complete the table for this cube

  16. BUILDING CUBES • How do your answers compare with these? • Do your patterns still work?

  17. BUILDING CUBES • Use the snap cubes to build the next larger cube. • How large is the cube? ANSWER

  18. BUILDING CUBES • Size of cube is 4x4x4. • Complete the cube table for this cube.

  19. BUILDING CUBES • How do your answers compare with these? • Do your patterns still work?

  20. BUILDING CUBES • Use your pattern to complete the table for a 5x5x5 cube.

  21. BUILDING CUBES • Now build the cube to see if your patterns work.

  22. BUILDING CUBES • Here is the 5x5x5 cube.

  23. BUILDING CUBES Compare your answer.

  24. BUILDING CUBES • Use your patterns to complete the table for these cubes. 6x6x6 7x7x7 8x8x8 9x9x9 10x10x10 ANSWER

  25. BUILDING CUBES

  26. BUILDING CUBES • Compare your answer.

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