5. A glass aquarium is in the form of a rectangular parallelepiped with dimensions 50cm by 100cm, and its depth is 30cm.What is the depth of the water when the aquarium contains 40 liters?

Respuesta :

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.