Question

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?

Answer 1

Given:

The dimension of rectangular parallelepiped is 50cm by 100cm by depth 30 cm.

Step-by-step explanation:

The formula for the base area of parallelepiped is,

`\begin{gathered} A=50\cdot100 \\ =5000 \end{gathered}`

Determine the volume in terms of cm^3.

`40\text{ liters}*\frac{1000\text{ cm\textasciicircum{}3}}{1\text{ liter}}=40000\text{ cm\textasciicircum{}3}`

The formula for the depth of aquarium is,

`d=(V)/(A)`

Substitute the values in the formula to determine the depth of water in aquarium.

`\begin{gathered} d=(40,000)/(5000) \\ =8 \end{gathered}`

So depth of water in aquarium is 8 cm.