Water block

A block with a 50 cm² base is filled with water 5 cm under the edge. How many can sugar cubes with 2 cm edge be thrown into a container that overflow water?

Correct answer:

n =  31

Step-by-step explanation:

$$\begin{gathered} S=50{\text{cm}}^2 \\ h=5\text{ cm } \\ V=S\cdot h=50\cdot 5=250{\text{cm}}^2 \\ a=2\text{ cm } \\ {V}_1=a^3=2^3=8{\text{cm}}^3 \\ {n}_1=V\mathrm{/}{V}_1=250\mathrm{/}8={\displaystyle \frac{125}{4}}=31\frac{1}{4}=31.25 \\ n=\lfloor n_1\rfloor =\lfloor 31.25\rfloor =31 \end{gathered}$$

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