Remember: A cube is a three dimensional (3-D) prism with 6 square faces; so all sides are congruent(same) and all angles are right angles. Perfect Cubes.

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Presentation transcript:

Remember: A cube is a three dimensional (3-D) prism with 6 square faces; so all sides are congruent(same) and all angles are right angles. Perfect Cubes and Cube Roots

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

Remember: A number is a perfect square if you multiply the same number such as: 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

3 x 3 = 9 3 3

The square root of 9 is 3

Remember: A number is a perfect cube if you multiply the same number such as: 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 8 a perfect cube? that number’s square root. Perfect Cubes and Cube Roots

that. Perfect Cubes and Cube Roots

that. Perfect Cubes and Cube Roots

8 is a perfect cube and its cube root is 2 Perfect Cubes and Cube Roots A perfect cube is a number that can be written as the cube (raised to third power) of another number.

Is 5 a perfect cube? Perfect Cubes and Cube Roots

Is 5 a perfect cube? Perfect Cubes and Cube Roots

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

Make chart 1-10 on side length Side Length Volume Operation VolumePerfect Cube 2 units2 x 2 x 28 units 3 8

Perfect Cubes and Cube Roots Make chart 1-10 on side length Side Length Volume Operation VolumePerfect Cube 1 unit1 x 1 x 11 units units2 x 2 x 28 units 3 8

Perfect Cubes and Cube Roots Make chart 1-10 on side length Side Length Volume Operation VolumePerfect Cube 1 unit units units units units3 27 units 3 27

Perfect Cubes and Cube Roots Make chart 1-10 on side length Side Length Volume Operation VolumePerfect Cube 1 unit units units units units3 27 units units

Perfect Cubes and Cube Roots Make chart 1-10 on side length Side Length Volume Operation VolumePerfect Cube 1 unit units units units units3 27 units units4343

Perfect Cubes and Cube Roots Make chart 1-10 on side length Side Length Volume Operation VolumePerfect Cube 1 unit units units units units3 27 units units units 3

Perfect Cubes and Cube Roots Make chart 1-10 on side length Side Length Volume Operation VolumePerfect Cube 1 unit units units units units3 27 units units units 3 64

Perfect Cubes and Cube Roots

square

Perfect Cubes and Cube Roots square cube Area Volume

The cube root of 64 is written as Cube Roots and Cubes are Opposites because

Examples :

Complete Your Perfect Cubes and Cube Roots Chart 1-10 and Study. You will have a quiz on it Thursday. Perfect Cubes and Cube Roots