If two-third part of an aquarium is full of water. When we tilt the aquarium in such a way that the water becomes diagonal shape. In this process, 93.5 litres of water is flown out. Find the capacity of the aquarium.
If two-third part of an aquarium is full of water. When we tilt the aquarium in such a way that the water becomes diagonal shape. In this process, 93.5 litres of water is flown out. Find the capacity of the aquarium. Correct Answer 561 litre
Given:
2/3 part aquarium is full.
Concept used:
Diagonal of the cuboid divides cuboid into two equal volumes.
Calculation:
Let the volume of the aquarium be ‘X’.
Water in aquarium = (2/3)X
When we tilt the aquarium, the water becomes the diagonal shape i.e half of water left and 93.5 litres of water flown out.
⇒ (2/3)X – 93.5 = X/2
⇒ 2X – 280.5 = (3/2)X
⇒ -280.5 = -(X/2)
⇒ X = 561 litre
∴ The capacity of the aquarium is 561 litre.
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Feb 20, 2025