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Understanding Cubes and Cube Roots

Understanding Cubes and Cube Roots

Assessment

Interactive Video

•

Mathematics

•

6th - 7th Grade

•

Practice Problem

•

Hard

Created by

Emma Peterson

FREE Resource

The video tutorial explains how to solve equations involving cubes and cube roots. It begins by defining cubing as finding the volume of a cube and cube rooting as finding the side length of a cube with a given volume. The tutorial highlights that cubing and cube rooting are inverse operations, similar to squaring and square rooting. It provides examples to demonstrate these concepts and shows how to solve equations by applying inverse operations. The video also discusses the possibility of negative solutions in cube equations and how to handle cube roots of negative numbers.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean to cube a number?

Finding the volume of a cube

Finding the area of a square

Finding the circumference of a circle

Finding the perimeter of a triangle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a cube has a volume of 8, what is the length of each side?

4

3

1

2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the inverse operation of cubing a number?

Squaring

Square rooting

Cube rooting

Multiplying

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the cube root of 27?

5

4

2

3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you cube a number and then take the cube root of the result?

You get a negative number

You get zero

You get the original number back

You get a different number

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If x cubed equals 64, what is the value of x?

2

3

4

5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why does negative 4 not work as a solution for x cubed equals 64?

Because negative 4 cubed equals zero

Because negative 4 cubed equals negative 64

Because negative 4 cubed equals 128

Because negative 4 cubed equals positive 64

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