12 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise?

(1 litre = 1000cm3)

Verified Answer :

12 l = 12000 cm3 = x 30 50 => x = 12000/1500 = 8 cm;

The water will rise to 8 cm

Further explanation

Given:

The aquarium dimension = 50 cm x 30 cm x 40 cm

Volume pour to the aquarium = 12 litres = 12000 cm³

First step

We will calculate the volume of the aquarium:

Volume = 50x30x40

             = 60000 cm³

When we pour 12000 cm³ water into the aquarium, only the height changed, the length and breadth are the same.

Now, we calculate the height when the volume is 12000 cm³

Volume = length x breadth x height

\(height = \frac{Volume}{length.breadth}\)

                  = \(\frac{12000}{1500}\)

                  = 8 cm

So, when we pour 12 litres of water into the aquarium, the water height would be 8 cm

Learn more

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Keywords: volume, height, calculate volume of aquarium