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

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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