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O #4 Perfect Cubes Worksheet
O Opening: (WRITE THE QUESTION)
1.
Between what two consecutive whole
numbers is 120?
Building PERFECT Cubes with
Blocks
Perfect Cubes
5
7
6
8
1
3
2
4
2x2x2=8
2
2
2
3 x 3 x 3 = 27
Perfect Cubes
If a number is a perfect cube, then
you can find its exact cube root.
A perfect cube is a number that can
be written as the cube (raised to
third power) of another number.
radical sign
index
3
27
radicand
What are the Perfect Cubes?
O 13 = 1 x 1 x 1 = 1
O 23 = 2 x 2 x 2 = 8
O 33 = 3 x 3 x 3 = 27
O 43 = 4 x 4 x 4 = 64
O 53 = 5 x 5 x 5 = 125
O and so on and on and on…..
Perfect Cubes
Dimensions Perfect
Cubes
Cube Root
Example 1:
3
64  4
because
 4 4 4   4
3
 64
Example 2:
3
64   4
 4  4  4 
because
  4    64
3
Example 3:
3
27  3 because
3  27
3
Example 4:
3
216  6
because
6  216
3
Example 5:
64
4
3
because

125
5
 444 


 555 
3
64
4
  
 5  125
Example 6:
Is 216 a perfect cube?
O Yes because 63 = 216.
Example 7:
Is 504 a perfect cube?
O No because you can’t cube
any number to get 504.
Example 8:
x  64 x  8 because
8  8  64 and 8  8  64
2
Example 9:
x  27
3
x  3 because
3  3  3  27
Homework
Closing Challenge:
1.
2.
3.
3
2a
8a 
6
3
27m
3
64 y
12
15


3m
4
4 y
5