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CUBE ROOTS
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.
So how many perfect cubes could you make given 1000 blocks that are 1 x 1 x 1?
Perfect Cubes and Cube Roots
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 2 units³ 8
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
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
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
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
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
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
x units x3 p units3 So, x³= p
Common Core #4Evaluate perfect cube roots
in the form of x³ = p and estimate non-perfect cube roots to the nearest tenth.
Square Root Cube Root
Perfect Cubes and Cube Roots
Find the cube root of a given number, p.
For example what is the cube root of 9,261?
Answer is 21 because 21³=9,261
Find the cube root for the following:(1)x³ = 2197 (2) b³ = 4913 (3)
Answers are 13, 17, and 12
SAMPLE QUESTIONS
3 1728
Estimate cube roots.
For example, to the nearest tenth, what is the cube root of 3?
We know 1³ = 1 and 2³ = 8 so the answer lies somewhere between 1 and 2. You must pick a number say 1.4 and multiply it three times and see how close it is to the number 3.
1.4³ = 2.744 Close but we need to now check 1.5…..1.5³ = 3.375 So 1.4 is the best answer since it is closer to
3 than 1.5
SAMPLE HARDER QUESTIONS
Estimate the cube root to the nearest tenth by finding x.
(1) x³ = 11 (2) (3) x³ = 562
Answers are (1) 2.2 and (2) 4.6And (3) 8.3
YOU TRY THESE
3 99