Discussion
How many cubes of 2 mm can be put in a cubical box of 8 cm?
Answer: C
64000 cubes fit in the box.
Convert to the same unit first: the box edge is 8 cm = 80 mm. Along each edge, \(80 / 2 = 40\) small cubes fit, so
\[ \begin{aligned} \text{cubes} &= 40^{3} \\ &= 64000 \end{aligned} \]
Equivalently, the volume ratio is \(\frac{80^3}{2^3} = \frac{512000}{8} = 64000\). 6400 and 16000 come from slips with the unit conversion or the powers, and 400 is far too few.
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