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

     

 

6859mm3

10648mm3

39304mm3

68921mm3

 

50.653cm3

15.625cm3

21.952cm3

29.791cm3

 

 

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Keywords: Starter | Calculator | Cube Root | Xmas

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    Answers

    19mm 22mm 34mm 41mm
    37mm 25mm 28mm 31mm

    Refresh the numbers used in this activity
    Computer Teacher, do your students have access to computers?
    Do you have "Laptops in Lessons"?

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

    Laptop

    Here is the URL which will take them to a concise version of this page.

    Transum.org/go/?Start=December12

     

    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.