The lateral surface area of a cuboid with length 15 cm, breadth 8 cm and height 5 cm is ………. `cm^(2)`.

Options

A. 115
B. 230
C. 600
D. 300

Answer

To find the lateral surface area (LSA) of a cuboid, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the dimensions of the cuboid**:
- Length (L) = 15 cm
- Breadth (B) = 8 cm
- Height (H) = 5 cm

2. **Use the formula for lateral surface area of a cuboid**:
- The formula for the lateral surface area (LSA) of a cuboid is given by:
\[ \text{LSA} = 2H(L + B) \]
- Here, H is the height, L is the length, and B is the breadth.

3. **Substitute the values into the formula**:
- Substitute L = 15 cm, B = 8 cm, and H = 5 cm into the formula:
\[ \text{LSA} = 2 \times 5 \times (15 + 8) \]

4. **Calculate the sum inside the parentheses**:
- Calculate \(15 + 8\):
\[ 15 + 8 = 23 \]

5. **Multiply the values**:
- Now substitute back into the equation:
\[ \text{LSA} = 2 \times 5 \times 23 \]
- Calculate \(2 \times 5 = 10\):
\[ \text{LSA} = 10 \times 23 \]

6. **Final multiplication**:
- Now calculate \(10 \times 23\):
\[ \text{LSA} = 230 \text{ cm}^2 \]

### Final Answer:
The lateral surface area of the cuboid is **230 cm²**.

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