write down some statements about the shape you see. be specific as possible. cube roots
TRANSCRIPT
Write down some statements about
the shape you see. Be specific as
possible.
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
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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
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