Children's Pool Dimensions, Surface Area for Tiles, and Volume for Water

Understanding the dimensions of a children's pool and calculating the necessary materials for tiling and the volume for water is essential for ensuring a safe and enjoyable swimming experience. In this article, we will break down the process step-by-step using a specific example, which involves a 10-meter long, 5-meter wide, and 0.5-meter deep pool. Let's explore how to calculate the required surface area for tiling the perimeter walls and the volume of water the pool can hold.

Dimensions and Calculations

The dimensions of our children's pool are as follows:

Length 10 meters (m) Width 5 meters (m) Depth 0.5 meters (m) [50 cm]

1. Tiles for the Perimeter Walls

The first step is to determine the surface area for tiling the perimeter walls of the pool. To do this, you need to calculate the perimeter of the base and then multiply it by the depth to find the area of the walls.

Calculate the perimeter: Perimeter 2 × (Length Width) 2 × (10 5) 2 × 15 30 meters (m) Calculate the surface area of the walls: Area of the walls Perimeter × Depth 30 m × 0.5 m 15 square meters (m2)

To ensure you have enough tiles, you may need to consider additional factors such as the layout and overlap. For simplicity, let's assume the tiles cover the entire area without any gaps or overlaps.

Note:

The calculations show that you will need approximately 15 square meters of tiles to line the perimeter walls of the pool.

2. Volume of Water the Pool Can Hold

Next, we will calculate the volume of water the pool can accommodate using the formula for the volume of a rectangular prism.

Calculate the volume of the pool: Volume Length × Width × Depth 10 m × 5 m × 0.5 m 25 cubic meters (m3) Convert the volume to liters: Since 1 cubic meter (m3) is equivalent to 1000 liters (L): Volume in liters 25 m3 × 1000 L/m3 25000 liters

This means the pool can hold 25000 liters of water when filled to the brim.

Summary:

Tiles needed for lining the perimeter walls: 15 m2 Volume of water the pool can hold: 25000 liters

Additional Calculations for Reference

For further clarity, let's go through another set of calculations using slightly different methods to arrive at the same result:

1. Area of the base of the swimming pool:

A_{base} 10 times 5 50 text{ sq m}

2. Perimeter of the swimming pool:

P 2 times (10 5) 30 text{ m}

3. Area of the inner walls of the swimming pool:

A_{walls} P times text{Depth} 30 text{ m} times 0.5 text{ m} 15 text{ sq m}

4. Total area of the base and inner walls:

A_{total} A_{base} A_{walls} 50 15 65 text{ sq m}

5. Area of tiles needed:

text{Number of tiles needed} frac{A_{total}}{2} frac{65}{4} 16.25 text{ tiles}

6. Quantity of water needed to fill the pool:

text{Area of base} times text{Depth} 50 text{ sq m} times 0.5 text{ m} 25 text{ cub m}

7. Convert cubic meters to liters:

text{1 m}^3 1,000,000 text{ cm}^3, text{ so} 25 text{ m}^3 25,000,000 text{ cm}^3

8. Convert cubic centimeters to liters:

text{1 L} 1000 text{ cm}^3, text{ so} 25,000,000 text{ cm}^3 25,000 text{ L}

9. Convert liters to hectoliters:

text{25,000 L} frac{25,000}{100} 250 text{ hectoliters}

Thus, the pool can hold 25,000 liters or 250 hectoliters of water when filled to its maximum capacity.

Conclusion

By carefully calculating the necessary surface area for tiling the perimeter walls and the volume of the pool, you can ensure that the pool meets the required specifications for a safe and enjoyable swimming experience for children. Whether you're a parent, a child, or a professional in pool construction, these calculations are essential for any project involving a children's pool.