To solve this problem, we need to determine the volume of the pond and then see how many containers, each with a volume of 300 cm³, are needed to fill it.

Step 1: Calculate the Volume of the Pond

The dimensions of the pond are given as:

• Length: 6 m (which we convert to cm: $6 \, \text{m} = 600 \, \text{cm}$)
• Width: 3000 cm
• Depth: 1.5 m (which we convert to cm: $1.5 \, \text{m} = 150 \, \text{cm}$)

The volume $V$ of a rectangular pond is calculated as: $V = \text{length} \times \text{width} \times \text{depth}$ Substitute the values: $V = 600 \, \text{cm} \times 3000 \, \text{cm} \times 150 \, \text{cm}$ $V = 270,000,000 \, \text{cm}^3$

Step 2: Determine the Number of Containers Needed

Each container has a volume of 300 cm³. To find the number of containers, we divide the total volume of the pond by the volume of each container: $\text{Number of containers} = \frac{\text{Volume of pond}}{\text{Volume of one container}}$ $\text{Number of containers} = \frac{270,000,000}{300}$ $\text{Number of containers} = 900,000$

Answer

The park attendants will need 900,000 containers of 300 cm³ each to fill the pond.

Would you like further details or have any other questions?

Here are five related questions to extend this topic:

1. What would happen to the number of containers needed if each container held 500 cm³ instead of 300 cm³?
2. How much water, in liters, would be needed to fill the pond?
3. If the pond were twice as deep, how many containers would be required?
4. How does the shape of the container affect the total number of containers needed?
5. What if the container volume is given in liters instead of cm³—how would you convert it?

Tip: Always ensure that units are consistent throughout the calculation to avoid errors.