Question

a rectangular aquarium is 16 cm long 70 cm wide and 50 cm high. Mohit uses 600ml mud to fill the aquarium completely with water. what is the maximum number of marks that he can put into the aquarium before the aquarium is filled completely?​

Answer 1

{Some corrections in the question}

Question : A rectangular aquarium is 16 cm long 70 cm wide and 50 cm high. Mohit uses 600ml mud, to fill the aquarium completely with water. How much water is needed to fill the aquarium completely ?

Solution :

➜ Length of aquarium = 16 cm

➜ Width of aquarium = 70 cm

➜ Height of aquarium = 50 cm

➜ Quantity of mud = 600 ml

Here, we know that, 1 litre = 1000 ml. Hence

➜ Quantity of mud = 0.6 litre ----{1}

Now, by formula of volume of cuboid;

➜ Volume of aquarium = Length * Width * Height

➜ Volume of aquarium = 16 * 70 * 50

➜ Volume of aquarium = 1120 * 50

➜ Volume of aquarium = 56000 cm³

Here, we know that, 1 litre = 1000 cm³

Hence,

➜ Volume of aquarium = 56000/1000 litre

➜ Volume of aquarium = 56 litre

∴ Capacity of the aquarium is 56 litres ----{2}

To find out, the capacity of the aquarium after filling 0.6 litre mud. From {1} and {2}

➜ Remaining space in the aquarium = Capacity of the aquarium - Quantity of mud

➜ Remaining space in the aquarium = 56 - 0.6

➜ Remaining space in the aquarium = 55.4 litre

Answer :

∴ To fill the aquarium completely 55.4 litre water is needed.

{Note : 1 litre = 1000 cm³ = 0.001 m³. Hence, 55.4 litre = cm³ = 0.0554 m³}

Answer 2

60cm by 70cm by 50cm =2, 10,000

2,10,000 ➗600

=350

hence 350 cups are use to fill the aquarium.