Perfect Squares and Cubes

Perfect Squares and Cubes and their Roots

A perfect square is a value that is obtained by multiplying two equal integers.

• Check out the image for some examples of perfect squares.

Perfect Squares

Multiple Choice

Which number is perfect square?

• 124

• 144

• 158

• 164

Multiple Choice

16²

• 256

• 289

• 396

• 324

A perfect cube is a value that is obtained by multiply three equal integers.

For example:

• 5³ = 5 x 5 x 5 = 125​

Perfect Cubes

Multiple Choice

A cube has side lengths of 4 in. What is the volume?

• 16in³

• 64in³

• 64in²

• 64in

Multiple Choice

What is the value of $$7^3$$ ? 

• 733

• 19

• 21

• 343

Multiple Choice

What is equal to $$14^2$$  ?

• 121

• 196

• 144

• 169

Multiple Choice

5²

• 16
• 25
• 20
• 10

Multiple Choice

7²

• 50
• 49
• 14
• 48

Multiple Choice

Is 225 a perfect square?

• Yes
• No

Multiple Choice

Which of the following is NOT a perfect square?

• 1
• 4
• 100
• 8

Multiple Choice

What is 2 cubed?

2³

• 8

• 6

• 4

• 16

Multiple Choice

What number, n, cubed is equal to 64?

n³ = 64

• 4

• 2

• 8

• 262,144

Multiple Choice

Which number is both a perfect square and a perfect cube?

• 64

• 27

• 81

• 16

Multiple Choice

Evaluate. 7³

• 313
• 323
• 333
• 343

Multiple Choice

When you square a number you multiply that number by ____________

• 4

• 2

• itself

• 10

Multiple Choice

$$-6^2$$  = ? 

• 36

• -36

• 12

• -12

Multiple Choice

$$\left(-6\right)^2$$  = ?

• 12

• -12

• -36

• 36