Perfect Square and Perfect Cube Numbers

​Lesson 1.4

Evaluate Cubic and Square Roots​

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Definitions:

Cube Root: The cube root of a number is the answer to what number times itself three times equals the original number. For example, the cube root of 27 would be 3 because 3 X 3  X 3 = 27.

Perfect Cube: A perfect cube is any number that can be obtained by multiplying a number by itself 3 times. For example, 64 is a perfect cube because 64 = 4 X 4  X 4.

Subject | Subject

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How to Find Cube and Square Roots:

​To find square roots, you must find out what number times itself is equal to the number in question. When dealing with perfect squares, you will get back an integer. If it is not a perfect square, you must use a calculator to find the square root.

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The same applies for cubic roots except you need to find what number times itself 3 times is equal to the number in question. If the number is not a perfect cube you must use a calculator.​

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Note: Using a calculator will always work.​

Subject | Subject

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​Example: A square has area of 9. What is the length of each side?

Multiple Choice

A square has area of 16. What is the length of each side?

• 16

• 8

• 4

• 2

Multiple Choice

A square has area of 25. What is the length of each side?

• 25

• 15

• 10

• 5

​A cube has volume of 8. What is the length of each side?

Multiple Choice

A cube has a volume of 27. What is the length of each side?

• 27

• 18

• 9

• 3

Multiple Choice

A cube has volume of 125. What is the length of each side?

• 125

• 50

• 25

• 5

​Would you classify 169 as a perfect square, a perfect cube or neither?

Multiple Choice

Would you classify 36 as a perfect square, a perfect cube or neither?

• Perfect Square

• Perfect Cube

• Neither

Multiple Choice

Would you classify 45 as a perfect square a perfect cube or neither?

• Perfect Square

• Perfect Cube

• Neither

​Conclusion: Write two complete sentences about what you learned.