12 litres of water is poured into an aquarium of dimensions 50 cm length, 30 cm breadth and 40 cm height. By what height (in cm) will the water rise? Options106820
Question
12 litres of water is poured into an aquarium of dimensions 50 cm length, 30 cm breadth and 40 cm height. By what height (in cm) will the water rise? Options106820
Solution
To solve this problem, we need to convert the volume of water from litres to cubic centimeters because the dimensions of the aquarium are given in centimeters.
1 litre = 1000 cubic centimeters
So, 12 litres = 12 * 1000 = 12000 cubic centimeters
The volume of the water poured into the aquarium will be equal to the volume of the aquarium up to the height the water rises.
Let's denote the height the water rises as h.
The volume of the aquarium up to height h is given by the formula for the volume of a cuboid, which is length * breadth * height.
So, 12000 cubic centimeters = 50 cm * 30 cm * h
Solving for h, we get h = 12000 cubic centimeters / (50 cm * 30 cm) = 8 cm
So, the water will rise by 8 cm.
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