Problem

17 A rectangular swimming pool is 10 meters long and 4.5 meters wide. If the volume of the water in the pool is 72 cubic meters, how deep is the water?

Answer

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Answer

\( \boxed{1.6} \) meters is the depth of the water in the pool.

Steps

Step 1 ：Given a rectangular swimming pool with length = 10 meters, width = 4.5 meters, and volume of water = 72 cubic meters. We need to find the depth of the water.

Step 2 ：Using the formula for the volume of a rectangular prism: Volume = Length * Width * Depth, we can rearrange to find the depth: Depth = Volume / (Length * Width).

Step 3 ：Substitute the given values: Depth = 72 / (10 * 4.5).

Step 4 ：\( Depth = \frac{72}{45} \)

Step 5 ：\( Depth = 1.6 \)

Step 6 ：\( \boxed{1.6} \) meters is the depth of the water in the pool.

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