Christmas Boxes:
The volumes of these cubical boxes are given here.
How long are each of the edges?

     

 

1728mm3

3375mm3

17576mm3

68921mm3

 

24.389cm3

5.832cm3

9.261cm3

13.824cm3

 

 

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Keywords: Starter | Calculator | Cube Root

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Answers

12mm 15mm 26mm 41mm
29mm 18mm 21mm 24mm

Refresh the numbers used in this activity
Teacher, do your students have one to one access to computers?

Whether your students each have a TabletPC or share a desktop PC, this activity lends itself to eLearning (Engaged Learning).

 

Does your calculator have a cube root key?

Launch the calculator on your computer.

There is a way of calculating the "cube root" on a calculator.

Can anyone in your class work it out?

 

Interesting fact for the Teacher:

There is a simple method to compute the cube roots using a non-scientific calculator, which requires only the multiplication and square root buttons. No memory is required. The following method is used:

  • Press the square root button twice.
  • Press the multiplication button.
  • Press the square root button twice.
  • Press the multiplication button.
  • Press the square root button four times.
  • Press the multiplication button.
  • Press the square root button eight times.
  • Press the multiplication button...

This process is continued until the number does not change when the multiplication button is pressed, since the repeated square root gives 1 (this means that the solution has been determined to as many significant digits as the calculator can handle). Then, press the square root button one last time. At this point an approximation of the cube root of the original number will be shown in the display.

A full explanation of why this works can be found on Wikipedia, the free online encyclopedia.

On the Windows calculator, switch to scientific mode, type in your number, the INV   x^3 to get the cube root.