Measuring 69764

You need to count 3 liters of water for one fish in the aquarium. Jaroslav has an aquarium measuring 80 cm x 50 cm with a height of 45 cm. Determine the maximum number of fish Jaroslav can keep in this aquarium if the water level reaches 5 cm below the top edge of the aquarium. Ignore the sand and plants.

Correct answer:

n =  53

Step-by-step explanation:

$$\begin{gathered} V_1=3\text{l}\to {\text{cm}}^3=3\cdot 1000{\text{cm}}^3=3000{\text{cm}}^3 \\ a=80\text{cm} \\ b=50\text{cm} \\ c=45-5=40\text{cm} \\ V=a\cdot b\cdot c=80\cdot 50\cdot 40=160000{\text{cm}}^3 \\ {n}_0=V/V_1=160000/3000=\frac{160}{3}=53\frac{1}{3}\doteq 53.3333 \\ n=\lfloor n_0\rfloor =\lfloor 53.3333\rfloor =53 \end{gathered}$$

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