Answer :
To empty the tank in the shape of prism completely, Colin has to wait 150 minutes for the water of the pond to at zero level.
What is the prism volume formula?
- V=Bh, where B is the base area and h is the height, is the formula for a prism's volume. The prism has a rectangular base.
- The rectangle measures 9 cm in length and 7 cm in breadth.
- A rectangle's area A is equal to its length l and width w.
Given :
A pond in the shape of a prism.
Colin uses a pump to empty the pond. The level goes down by 20 cm in the first 30 minutes.
Solution :
We know that the volume of the prism is given by,
Volume = ( Base area ) × height
Base area = 1/2 ( 1.4 + 0.6 ) × 2 ⇒2 m²
Volume = 2 × 1 = 2m³
Given that the level of pond goes down by 20 cm in the first 30 minutes. Therefore, the volume becomes,
Volume = 2 × 0.8 = 1.6m³
Now, the rate of emptying the tank is,
[tex]= \frac{2 - 16}{30} = \frac{1}{75}[/tex] m³/min
time = volume / rate
= [tex]\frac{2}{\frac{1}{75} }[/tex] = 150
Therefore, Colin has to wait 150 minutes for the pond to completely empty
Learn more about volume of prism
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