Find the lateral surface area of a cuboid whose dimensions are `24 m xx 25 cm xx 6 m`.

Answer

To find the lateral surface area of a cuboid with dimensions `24 m x 25 cm x 6 m`, we first need to ensure that all dimensions are in the same unit. Let's convert all dimensions to centimeters.

1. **Convert dimensions to the same unit:**
- Length (L) = 24 m = 2400 cm (since 1 m = 100 cm)
- Breadth (B) = 25 cm
- Height (H) = 6 m = 600 cm

2. **Use the formula for lateral surface area of a cuboid:**
The lateral surface area (LSA) of a cuboid is given by the formula:
\[ LSA = 2 \times H \times (L + B) \]

3. **Substitute the dimensions into the formula:**
\[ LSA = 2 \times 600 \times (2400 + 25) \]

4. **Calculate the sum of length and breadth:**
\[ 2400 + 25 = 2425 \]

5. **Substitute this value back into the formula:**
\[ LSA = 2 \times 600 \times 2425 \]

6. **Calculate the product:**
\[ LSA = 1200 \times 2425 \]

7. **Perform the multiplication:**
\[ LSA = 2910000 \text{ cm}^2 \]

8. **Final Answer:**
The lateral surface area of the cuboid is \( 2910000 \text{ cm}^2 \).