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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.continue
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 `3`rd 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
    Spelling: Write the answer once

The answer is "cube".

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

  • Pronunciation : Say the answer once
    Spelling: Write the answer once

The answer is "cube root".

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`.

                            
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