cubes
DESCRIPTION
What is a perfect cube? How do you find cube roots?TRANSCRIPT
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Cubes and Cube Cubes and Cube RootsRoots
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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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PERFECT CUBES PERFECT CUBES
What does that mean?What does that mean?
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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
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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
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Is 8 a perfect cube?that number’s square root.
Perfect Cubes and Cube Roots
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that.
Perfect Cubes and Cube Roots
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that.
Perfect Cubes and Cube Roots
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8 is a perfect cube and its cube root is 2
Perfect Cubes and Cube Roots
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Is 5 a perfect cube?
Perfect Cubes and Cube Roots
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Is 5 a perfect cube?
Perfect Cubes and Cube Roots
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Three Dimensions
Perfect Cube
Volume
Perfect Cubes and Cube Roots
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Perfect Cube: 8 Cube Root 2
Volume: 8 units3 Side Length: 2 units
Perfect Cubes and Cube Roots
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Cubes and Cubic RootsCubes and Cubic Roots
33 27 3 3 27or
Notice that 27 objects can be arranged into a cube of 3 levels (high) of 3 rows and 3 columns.
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Cube RootCube Root 3 cubed is 27, so the 3 cubed is 27, so the cube root of 27 is 3cube root of 27 is 3
33 2727
The cube root of a number is ...The cube root of a number is ...... a special value that when ... a special value that when cubedcubed gives the original gives the original number.number.
The cube root of The cube root of 2727 is ... is ...... ... 33, because , because when 3 is cubedwhen 3 is cubed you get you get 2727..
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Perfect Cubes and Cube Roots
Side Length
Volume Operation
Volume Perfect Cube
2 units 2 x 2 x 2 8 units3 8
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Perfect Cube: Cube Root
Volume: units3 Side Length: units
Perfect Cubes and Cube Roots
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Perfect Cubes and Cube Roots
Side Length
Volume Operation
Volume Perfect Cube
1 unit 1 x 1 x 1 1 units3 1
2 units 2 x 2 x 2 8 units3 8
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Perfect Cubes and Cube Roots
Side Length
Volume Operation
Volume Perfect Cube
1 unit 13 1 units3 1
2 units 23 8 units3 8
3 units 33 27 units3 27
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Perfect Cubes and Cube Roots
Side Length
Volume Operation
Volume Perfect Cube
1 unit 13 1 units3 1
2 units 23 8 units3 8
3 units 33 27 units3 27
4 units
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Perfect Cubes and Cube Roots
Side Length
Volume Operation
Volume Perfect Cube
1 unit 13 1 units3 1
2 units 23 8 units3 8
3 units 33 27 units3 27
4 units 43
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Perfect Cubes and Cube Roots
Side Length
Volume Operation
Volume Perfect Cube
1 unit 13 1 units3 1
2 units 23 8 units3 8
3 units 33 27 units3 27
4 units 43 64 units3
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Perfect Cubes and Cube Roots
Side Length
Volume Operation
Volume Perfect Cube
1 unit 13 1 units3 1
2 units 23 8 units3 8
3 units 33 27 units3 27
4 units 43 64 units3 64
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Perfect Cubes and Cube Roots
Side Length
Volume Operation
Volume Perfect Cube
1 unit 13 1 units3 1
2 units 23 8 units3 8
3 units 33 27 units3 27
4 units 43 64 units3 64
S units S3 S3 units3 S3
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Perfect Cubes and Cube Roots
Side Length of cube
Volume Operation
Volume of cube
Perfect Cube
1 unit 13 1 units3 1
2 units 23 8 units3 8
3 units 33 27 units3 27
4 units 43 64 units3 64
S units S3 S3 units3 S3
10 units
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Perfect Cubes and Cube Roots
Side Length of cube
Volume Operation
Volume of cube
Perfect Cube
1 unit 13 1 units3 1
2 units 23 8 units3 8
3 units 33 27 units3 27
4 units 43 64 units3 64
S units S3 S3 units3 S3
10 units 103
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Perfect Cubes and Cube Roots
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Perfect Cubes and Cube Roots
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Perfect Cubes and Cube Roots
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Perfect Cubes and Cube Roots
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Perfect Cubes and Cube Roots
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Practice
Is 827 a perfect cube?
Perfect Cubes and Cube Roots
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You Can Also Cube Negative You Can Also Cube Negative NumbersNumbers
Have a look at this: Have a look at this: If you cube 5 you get 125: 5 × 5 × 5 = 125If you cube 5 you get 125: 5 × 5 × 5 = 125 If you cube -5 you get -125: -5 × -5 × -5 = -125If you cube -5 you get -125: -5 × -5 × -5 = -125 So the So the cube rootcube root of -125 is -5 of -125 is -5
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Perfect CubesPerfect Cubes The Perfect Cubes are the cubes of the The Perfect Cubes are the cubes of the
whole numbers::
It is easy to work out the cube root of a perfect It is easy to work out the cube root of a perfect cube, but it is cube, but it is really hardreally hard to work out other cube to work out other cube roots.roots.
Perfect Cubes
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 etc
1 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375 …
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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.