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The problem you've presented asks how many 1 cm³ sugar cubes can fit into a swimming pool with dimensions 25 m x 10 m x 5 m.

First, we need to convert the dimensions of the pool from meters to centimeters, as the sugar cubes are measured in centimeters. The conversion factor is 1 meter = 100 centimeters.

**Dimensions in centimeters:**
- Length: \(25 \, \text{m} \times 100 = 2500 \, \text{cm}\)
- Width: \(10 \, \text{m} \times 100 = 1000 \, \text{cm}\)
- Depth: \(5 \, \text{m} \times 100 = 500 \, \text{cm}\)

**Volume of the pool in cubic centimeters:**
\[ 2500 \, \text{cm} \times 1000 \, \text{cm} \times 500 \, \text{cm} = 1,250,000,000 \, \text{cm}^3 \]

Since each sugar cube occupies 1 cm³, the number of sugar cubes that can fit into the pool is equal to the volume of the pool in cubic centimeters.

Hence, you can fit \(1,250,000,000\) sugar cubes in the pool. This can be represented in scientific notation as \(1.25 \times 10^9\).

The correct answer is **A. \(1.25 \times 10^9\)**.

Do you have any other questions about this problem, or is there anything else you'd like to explore? Here are some related questions to consider:

1. How would the number of sugar cubes change if the dimensions of each cube were doubled?
2. What would be the volume in liters of the swimming pool?
3. How many sugar cubes would fit in a pool half the depth?
4. What would the volume be if the pool had a cylindrical shape with the same height and base area?
5. How does changing the shape of the pool affect the volume calculation?

**Tip:** When converting units for a volume calculation, ensure all dimensions are in the same unit system before multiplying to avoid errors.

La longitud de la arista de un terrón de azúcar con forma de cubo es de un centímetro. ¿Cuántos terrones de azúcar se pueden meter en una piscina vacía de dimensiones 25 m x 10 m x 5 m?

Solve the problem of how many 1 cm³ sugar cubes fit in a swimming pool with dimensions 25 m × 10 m × 5 m by converting units and calculating the pool's volume. Suitable for students in Grades 6-8.

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