VIC #1 The opposite of cube root is _____________________. 53 = _________________
3
√125 = _______________
→
The opposite of cube is _____________________. 3
√27 = _______________
→
33 = ________________
Perfect Cubes (Why are they called perfect cubes?) 13 = ___________
23 = ___________
33 = ___________
43 = ___________
53 = ___________
63 = ___________
73 = ___________
83 = ___________
93 = ___________
103 = ___________
Examples 3
1. √8 = __________
3
2. √64 = _____________
Objective: Cube and Cube Roots VIC #2 3 What about negative numbers? What is the √−27 ?
Can you find the cube root of a negative number? Why or why not?
VIC #3 You can also find the cube root of fractions and decimals. Examples: 3
1
2. √0.125 = _____________
8
4. √0.008 = ______________
3
1. √8 = ______________
3
3
3. √27 = ________________
VIC #4 Sometimes, cube roots are not whole numbers. In those situations, you will need to decide what two integers each cube root falls between and then estimate the value. Examples: 3
1. √44 3
What two integers does √44 fall between? 3
What is the approximate value of √44 ? 3
2. √115 3
What two integers does the √115 fall between? 3
What is the approximate value of the √115 ?
Objective: Cube and Cube Roots Practice: Find the cube root of each number. Round to the tenths place if necessary. 3
2. √250 = ______________
3
4. √0.512 = ____________
1. √125 = _____________
3. √– 64 = ______________
3
27
5. √216 = _______________
3
3
1
3
6. √– 8 = ______________
Tell what two integers each cube root falls between. 3
7. √90 = ______________
3
8. √500 = _________________
Solve 9. A cube has a volume of 125 ft3. What is the length of one side of the cube?
10. Mr. Smith calculated the volume of two cubes. • Cube J had a volume of 343 cm3. • Cube K had a volume of 27 cm3. What is the difference in the measures of the side lengths of cube J and cube K?
8
11. Linda makes an ice cube having a volume of 64 cubic inch. What is the side length of the ice cube?
12. A square has an area of 64 square units. A cube has a volume of 64 cubic units. What is the difference in the side length of the square and the length of one edge of the cube?
You can also find the cube root of fractions and decimals. Examples: 1. â. 1. 8. 3. = 2. â0.125. 3. = ______. 3. â. 8. 27. 3. = 4. â0.008. 3. = VIC #4. Sometimes, cube roots are not whole numbers. In those situations, you will need to decide what two integers each cube root falls between and then estimate the value.
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