CUBE ROOTS Write down some statements about the

CUBE ROOTS Write down some statements about the

CUBE ROOTS Write down some statements about the shape you see. Be specific as possible. Perfect Cubes and 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 Side Volume Volume Length Operation Perfect Cube

1 unit 1x1x1 1 units 1 2 units 2x2x2 2 units 8 Perfect Cubes and Cube Roots Side Volume Volume Length Operation 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 Volume Volume Length Operation 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 Volume Volume Length Operation 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 Volume Volume Length Operation 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 Volume Volume Length Operation 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 Volume Length Operation of cube 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, x= p Common Core #4 Evaluate perfect cube roots in the form of x = p and estimate non-perfect cube roots to the nearest tenth. Perfect Cubes and Cube Roots Square Root Cube Root

SAMPLE QUESTIONS Find the cube root of a given number, p. For example what is the cube root of 9,261? Answer is 21 because 21=9,261 Find the cube root for the following: (1)x = 2197 (2) b = 4913 (3) Answers are 13, 17, and 12 3 1728 SAMPLE HARDER QUESTIONS Estimate cube roots. For example, to the nearest tenth, what is the cube root of 3? We know 1 = 1 and 2 = 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. 1.4 = 2.744 Close but we need to now check 1.5.. 1.5 = 3.375 So 1.4 is the best answer since it is closer to 3 than 1.5

YOU TRY THESE Estimate the cube root to the nearest tenth by finding x. (1) x = 11 (2) Answers are (1) 2.2 and (2) 4.6 And (3) 8.3 3 (3) x = 562 99

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