The surface area of water in a swimming pool forms a rectangle with a length of 40 meters and a breadth of 15 meters. The depth of water increases uniformly from 1.2 meters at one end to 2.8 meters at the other end. What is the volume (in m³) of water in the pool?

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Question

This question was previously asked in

RRB PO Prelims Memory Based Paper (Held On: 3 August 2024 Shift 2)

Answer 1

The pool is a rectangular prism with a sloping bottom. The depth increases uniformly from one end to the other, forming a triangular prism shape.

The depth increases uniformly from 1.2 meters to 2.8 meters. The average depth is:

Average Depth = (1.2 + 2.8) / 2 = 2.0 meters

The surface area of the pool is a rectangle with a length of 40 meters and a breadth of 15 meters:

Surface Area = Length × Breadth = 40 × 15 = 600 m²

The volume of water in the pool is the product of the surface area and the average depth:

Volume = Surface Area × Average Depth = 600 × 2.0 = 1200 m³

Thus, the volume of water in the pool is 1200 m³.