Water block

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

Correct answer:

n =  31

Step-by-step explanation:

$$\begin{gathered} S=50{\text{cm}}^2 \\ h=5\text{cm} \\ V=S\cdot h=50\cdot 5=250{\text{cm}}^2 \\ a=2\text{cm} \\ {V}_1=a^3=2^3=8{\text{cm}}^3 \\ {n}_1=V/V_1=250/8=\frac{125}{4}=31\frac{1}{4}=31.25 \\ n=\lfloor n_1\rfloor =\lfloor 31.25\rfloor =31 \end{gathered}$$

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