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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.
mathsExponentsCubes and Cube Roots

### Representation of Cubes and Cube Roots

In this page, cube of a number and cube root of a number are revised in a simple thought process.

click on the content to continue..

What is 5^3?

• 125
• 125
• 53

The answer is "125".

An exponent of power 3 is called cube of the number.

eg: Cube of 7 is 7^3 = 343.

Which of the following is a meaning for the word "cube"?

• the 3D shape of equal sides and 90^@ angles between edges
• the 3D shape of equal sides and 90^@ angles between edges
• c shaped tube

The answer is "the 3D shape of equal sides and 90^@ angles between edges".

The exponent cube is representative of "volume of the shape cube, side to the power 3".

What is 8^(1/3)?

• 2
• 2
• 8/3

The answer is "2".

What is root(3)(125)?

• 4
• 5
• 5

The answer is "5".

An exponent of power 1/3 or the 3rd root is called cube root of the number.

eg: Cube root of 64 is 64^(1/3) = root(3)(64) = 4.

What is cube of 3?

• 42
• 27
• 27

The answer is "27".

Cube of 3 is 3^3.

What is cube root of 8?

• 4
• 2
• 2

The answer is "2".

Cube root of 8 is root(3)(8) = 8^(1/3).

What is root(3)(1000)?

• 10
• 10
• 2

The answer is "10".

the symbol in root(3)(1000) is the cube root.

What is the term used to refer "a number to the power of 3"?

• Pronunciation : Say the answer once

What is the term used to refer "a number to the power of 1/3"?

• Pronunciation : Say the answer once
Cube of a number : A number to the power 3 is the cube of the number.
eg: 6^3 = 6xx6 xx 6 = 216
Cube Root of a number : A number to the power 1/3 is the cube root of the number.
eg: root(3)(216) = 6 as 6^3=216.