Because $$(-3) \times (-3) \times (-3) = -27$$

Question 1

What is the value of $$x$$ that satisfies the equation $$x^3 = 27$?

Accepted Answer

$$x = 3$$

Question 2

Which of the following numbers is a perfect cube?

Accepted Answer

$$27$$

Question 3

Solve for $$x in $$the equation $$8x^3 = 216$.

Accepted Answer

$$x = 3$$

Question 4

A cube has a volume of $$x^3 = 125$ cubic centimeters. What is the length of one side of the cube?

Accepted Answer

$$x = 5$$

Question 5

What is the cubed root of $$-64$$?

Accepted Answer

$$-4$$

Question 6

Which statement best describes the cubed root of a negative number?

Accepted Answer

It is always negative.

Question 7

If $$x^3 = -27$, what is the value of x$?

Accepted Answer

$$x = -3$$

Question 8

Which of the following expressions is a perfect cube?

Accepted Answer

$$x^6$$

Question 9

Find the value of $$x$$ that satisfies $$x^3 = 1$.

Accepted Answer

$$x = 1$$

Question 10

A cube-shaped box has a volume of $$x^3 = 8$ cubic inches. What is the length of one edge of the box?

Accepted Answer

$$x = 2$$

Question 11

Which of the following is the correct definition of a cubed root?

Accepted Answer

A value that, when multiplied by itself three times, gives the original number.

Question 12

Solve for $$x in $$the equation $$x^3 = -8$.

Accepted Answer

$$x = -2$$

Question 13

Which of the following is NOT a perfect cube?

Accepted Answer

$$100$$

Question 14

If $$x^3$$ $$y^3 = 64$, what is the value of xy$?

Accepted Answer

$$xy = 4$$

Question 15

A medicine is stored in a cubic container with a volume of $$x^3 = 1000$ mL. What is the length of one side of the container?

Accepted Answer

$$x = 10$$

Question 16

Which of the following equations demonstrates the inverse relationship between cubing and cubed roots?

Accepted Answer

$$\sqrt[3]{x^3$} = x$$

Question 17

If $$x^3 = 216$, what is the value of x$?

Accepted Answer

$$x = 6$$

Question 18

Which of the following best explains why the cubed root of $$-27 is$$ $$-3$$?

Accepted Answer

Because $$(-3) 	imes (-3) 	imes (-3) = -27$$

Question 19

A cube has a side length of $$x$$ units. If its volume is $$x^3 = -125$, what is x$?

Accepted Answer

$$x = -5$$

Question 20

Which of the following is a variable in the expression $$x^3$$?

Accepted Answer

$$x$$

Finding Perfect Cubed Roots of Monomials with Integers and Variables

Study Guide - Practice Questions