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A swimming pool is 7m long, 5m wide, 1m deep at the shallow end, and 3m deep at the deep end.The floor slopes evenly. What is the volume (in m3) of water in the pool?

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The best way to solve this is to break the total volume of the pool up into two simple shapes.

The upper volume of the pool will be a simple rectangular solid with the following dimensions:

L=7m
W=5m
D=1m

Volume of this section = L x W x D = 35 m^3


Now the lower volume of the pool will be a a triangular prism solid with he following dimensions:

Base=7m
Height=2m (3m total - 1m top section)
W=5m

Volume of this section = 0.5 x B x H x W = 35m^3

Now just add these two sections together to find the total volume of the pool:

V1 + V2 = 35 m^3 + 35 m^3 = 70 m^3

Therefore the total volume of the pool is 70 cubic meters.

I hope that was helpful to you, good luck.

If you choose to rate this solution using the Thumbs Up scale provided, I thank you very much for your time and consideration.

Joe.

Posted on May 29, 2011

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