Given:
The dimension of rectangular parallelepiped is 50cm by 100cm by depth 30 cm.
Explanation:
The formula for the base area of parallelepiped is,
[tex]\begin{gathered} A=50\cdot100 \\ =5000 \end{gathered}[/tex]Determine the volume in terms of cm^3.
[tex]40\text{ liters}\times\frac{1000\text{ cm\textasciicircum{}3}}{1\text{ liter}}=40000\text{ cm\textasciicircum{}3}[/tex]The formula for the depth of aquarium is,
[tex]d=\frac{V}{A}[/tex]Substitute the values in the formula to determine the depth of water in aquarium.
[tex]\begin{gathered} d=\frac{40,000}{5000} \\ =8 \end{gathered}[/tex]So depth of water in aquarium is 8 cm.