Volume = 27 cm^{3}
Volume = 12167 mm^{3}
DIAGRAM NOT TO SCALE
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Hint: If you don't have a calculator with a cube root function here are the keys
you would need to press to find the cube root of 12167:
12167^(1÷3)
This works because raising a number to the power one third is equivalent to finding the cube root of the number.
Note to teacher: Doing this activity once with a class helps students develop strategies. It is only when they do this activity a second time that they will have the opportunity to practise those strategies. That is when the learning is consolidated. Click the button above to regenerate another version of this starter from random numbers.
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Casio Classwiz CalculatorThere is currently a lot of talk about this new calculator being the best in its price range for use in the Maths classroom. The new ClassWiz features a highresolution display making it easier to view numerical formulas and symbols but it isn't a graphical calculator as such (it has the capacity to draw graphs on your smart phone or tablet, via a scannable QR code and an app). As well as basic spreadsheet mode and an equation solving feature you also get the ability to solve quadratic, cubic or quartic polynomial inequalities and the answer is given just as it should be written down, using the correct inequality symbols! This calculator has a highperformance processor and twice the memory of previous models ensuring speedy operation and superior computational power.more... 
Teacher, do your students have
access to computers? 

Here a concise URL for a version of this page without the comments.
Transum.org/go/?Start=August12
Here is the URL which will take them to a self marking quiz about volume.
There is a simple method to compute the cube roots using a nonscientific calculator, which requires only the multiplication and square root buttons. No memory is required. The following method is used:
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 onWikipedia, the free online encyclopedia.