A swimming pool is 10 m wide and 25 m long. It is 1.2 m deep at one end and 2.2 m deep at the other end. The floor slopes uniformly from one end to the other.
a)Explain why the shape of the pool is a prism. 1.2 m
b)The pool is filled with water at a rate of 2 m³ per minute. How long will it take to fill the pool?

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Lanuel

At a rate of 2 m³ per minute, it would take 212.5 minutes to fill this swimming pool.

The shape of the pool.

Based on the information provided, we can logically deduce that the shape of this pool is a prism because it is deep (2.2 m) at one end and shallow (1.2 m) at the other end.

How to calculate the time?

First of all, we would determine the volume of this swimming pool as follows:

Volume = 1/2 × (1.2 + 2.2) × 10 × 25

Volume = 1/2 × (3.4) × 250

Volume = 1.7 × 250

Volume = 425 m³.

For the time, we have:

Time = volume/rate

Time = 425/2

Time = 212.5 minutes.

Read more on prism here: brainly.com/question/3867601

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