Cuboid-shaped 27421

The cuboid-shaped aquarium has the dimensions of the bottom: a = 0.7 m, b = 0.4 m. if it is filled to 90% of its volume and contains 75.6 liters of water?

Correct answer:

c =  0.3 m

Step-by-step explanation:

$$\begin{gathered} a=0.7\text{m} \\ b=0.4\text{m} \\ p=90\%=\frac{90}{100}=\frac{9}{10}=0.9 \\ V=75.6\text{l}\to {\text{m}}^3=75.6:1000{\text{m}}^3=0.0756{\text{m}}^3 \\ V=abh \\ h=V/(a\cdot b)=0.0756/(0.7\cdot 0.4)=\frac{27}{100}=0.27\text{m} \\ h=p\cdot c \\ c=h/p=0.27/0.9=0.3\text{m} \end{gathered}$$

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