The aquarium

The aquarium has a capacity of 18 liters. What is its height when the square bottom is 8 2/3 cm long?

Result

h =  239.645 cm

Solution:

V=18 l=18⋅ 1000 cm3=18000 cm3 a=8+23=263≐8.6667 cm  S=a2=8.66672≐6769≐75.1111 cm2  h=V/S=18000/75.1111≐239.645≐239.645 cmV=18 \ l=18 \cdot \ 1000 \ cm^3=18000 \ cm^3 \ \\ a=8 + \dfrac{ 2 }{ 3 }=\dfrac{ 26 }{ 3 } \doteq 8.6667 \ \text{cm} \ \\ \ \\ S=a^2=8.6667^2 \doteq \dfrac{ 676 }{ 9 } \doteq 75.1111 \ \text{cm}^2 \ \\ \ \\ h=V/S=18000/75.1111 \doteq 239.645 \doteq 239.645 \ \text{cm}

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