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Objective: You will be able to determine if a number is a perfect cube and to find the cube root of a number that is a perfect cube.

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Presentation on theme: "Objective: You will be able to determine if a number is a perfect cube and to find the cube root of a number that is a perfect cube."— Presentation transcript:

1 Objective: You will be able to determine if a number is a perfect cube and to find the cube root of a number that is a perfect cube.

2 Remember A cube is a three dimensional prism with 6 square faces; so all sides are congruent and all angles are right angles. Perfect Cubes and Cube Roots

3 Squares and Cubes: Similarities - All sides congruent - All angles 90 degrees Differences: - Square is 2 dimensional - Cube is 3 dimensional that number’s square root. Perfect Cubes and Cube Roots

4 Remember A number is a perfect square if you can take that many 1 x 1 unit squares and form them into a square. The side length of the square you form is that number’s square root. Perfect Cubes and Cube Roots

5 A number is a if you can take that many and form them into a. The side length of the you form is that number’s. Perfect Cubes and Cube Roots perfect squareperfect cube 1 x 1 x 1 unit cubes square cube square 1 x 1 unit squares square root cube cube root

6 A number is a perfect cube if you can take that many 1 x 1 x 1 unit cubes and form them into a cube. The side length of the cube you form is that number’s cube root.is that number’s square root. Perfect Cubes and Cube Roots

7 Is 8 a perfect cube? that number’s square root. Perfect Cubes and Cube Roots

8 that. Perfect Cubes and Cube Roots

9 that. Perfect Cubes and Cube Roots

10 8 is a perfect cube and its cube root is 2 Perfect Cubes and Cube Roots

11 Is 5 a perfect cube? Perfect Cubes and Cube Roots

12 Is 5 a perfect cube? Perfect Cubes and Cube Roots

13 Three Dimensions Perfect Cube Volume Perfect Cubes and Cube Roots

14 Perfect Cube: 8Cube Root 2 Volume: 8 units 3 Side Length: 2 units Perfect Cubes and Cube Roots

15 Side Length Volume Operation VolumePerfect Cube 2 units2 x 2 x 28 units 3 8

16 Perfect Cube: Cube Root Volume: units 3 Side Length: units Perfect Cubes and Cube Roots

17 Side Length Volume Operation VolumePerfect Cube 1 unit1 x 1 x 11 units 3 1 2 units2 x 2 x 28 units 3 8

18 Perfect Cube: Cube Root Volume: units 3 Side Length: units Perfect Cubes and Cube Roots

19 Side Length Volume Operation VolumePerfect Cube 1 unit1313 1 units 3 1 2 units2323 8 units 3 8 3 units3 27 units 3 27

20 Perfect Cubes and Cube Roots Side Length Volume Operation VolumePerfect Cube 1 unit1313 1 units 3 1 2 units2323 8 units 3 8 3 units3 27 units 3 27 4 units

21 Perfect Cubes and Cube Roots Side Length Volume Operation VolumePerfect Cube 1 unit1313 1 units 3 1 2 units2323 8 units 3 8 3 units3 27 units 3 27 4 units4343

22 Perfect Cubes and Cube Roots Side Length Volume Operation VolumePerfect Cube 1 unit1313 1 units 3 1 2 units2323 8 units 3 8 3 units3 27 units 3 27 4 units4343 64 units 3

23 Perfect Cubes and Cube Roots Side Length Volume Operation VolumePerfect Cube 1 unit1313 1 units 3 1 2 units2323 8 units 3 8 3 units3 27 units 3 27 4 units4343 64 units 3 64

24 Perfect Cubes and Cube Roots Side Length Volume Operation VolumePerfect Cube 1 unit1313 1 units 3 1 2 units2323 8 units 3 8 3 units3 27 units 3 27 4 units4343 64 units 3 64 S unitsS3S3 S 3 units 3 S3S3

25 Perfect Cubes and Cube Roots Side Length of cube Volume Operation Volume of cube Perfect Cube 1 unit1313 1 units 3 1 2 units2323 8 units 3 8 3 units3 27 units 3 27 4 units4343 64 units 3 64 S unitsS3S3 S 3 units 3 S3S3 10 units

26 Perfect Cubes and Cube Roots Side Length of cube Volume Operation Volume of cube Perfect Cube 1 unit1313 1 units 3 1 2 units2323 8 units 3 8 3 units3 27 units 3 27 4 units4343 64 units 3 64 S unitsS3S3 S 3 units 3 S3S3 10 units10 3

27 Perfect Cubes and Cube Roots Side Length of cube Volume Operation Volume of cube Perfect Cube 1 unit1313 1 units 3 1 2 units2323 8 units 3 8 3 units3 27 units 3 27 4 units4343 64 units 3 64 S unitsS3S3 S 3 units 3 S3S3 10 units10 3 1000 u 3

28 Perfect Cubes and Cube Roots Side Length of cube Volume Operation Volume of cube Perfect Cube 1 unit1313 1 units 3 1 2 units2323 8 units 3 8 3 units3 27 units 3 27 4 units4343 64 units 3 64 S unitsS3S3 S 3 units 3 S3S3 10 units10 3 1000 u 3 1000

29 Perfect Cubes and Cube Roots

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34 Practice Is 827 a perfect cube? Perfect Cubes and Cube Roots

35 Conclusion: You can now determine if a number is a perfect cube and find the cube root of a number that is a perfect cube.

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