Question 6

A rectangular swimming pool is 50 meters long and 25 meters wide. Its depth is always the same along its width but linearly increases along its length from 1 meter at one end to 4 meters at the other end. How much water (in cubic meters) is needed to completely fill the pool?

Solution

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The volume of cuboid will be 50*25*1=1250

The volume of the portion below cuboid will be Area of triangle*width =$$\frac{1}{2}\cdot3\cdot50\cdot25=1875$$

.'. Total volume = 1875+1250= 3125.

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