1. **Problem statement:**
A fish pond is a rectangular prism with length 4 m, width 3 m, and depth 2 m.
2. **Find the volume of the empty pond:**
The volume $V$ of a rectangular prism is given by the formula:
$$V = \text{length} \times \text{width} \times \text{height}$$
3. **Calculate the volume:**
$$V = 4 \times 3 \times 2 = 24 \text{ cubic meters}$$
4. **Find the volume of water when filled to 1.5 m depth:**
Height for water volume calculation is $1.5$ m.
5. **Convert dimensions to centimetres:**
Length: $4 \text{ m} = 400 \text{ cm}$
Width: $3 \text{ m} = 300 \text{ cm}$
Height: $1.5 \text{ m} = 150 \text{ cm}$
6. **Calculate volume in cubic centimetres:**
$$V = 400 \times 300 \times 150 = 18,000,000 \text{ cm}^3$$
7. **Convert volume to litres:**
Since $1000 \text{ cm}^3 = 1 \text{ L}$,
$$\frac{18,000,000}{1000} = 18,000 \text{ L}$$
**Final answers:**
- Volume of empty pond: $24$ cubic meters
- Height for water volume: $1.5$ m
- Length in cm: $400$ cm
- Width in cm: $300$ cm
- Height in cm: $150$ cm
- Volume of water: $18,000,000$ cm$^3$
- Volume in litres: $18,000$ L
Pond Volume 21A93A
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.