The length , breadth and height of a room are ` 6m , 5.4 m and 4 m` respectively . Find the area of (i) its four walls. (ii) its roof

Answer

To solve the problem of finding the area of the four walls and the roof of a room with given dimensions, we will follow these steps:

### Step 1: Identify the dimensions of the room
- Length (L) = 6 m
- Breadth (B) = 5.4 m
- Height (H) = 4 m

### Step 2: Calculate the area of the four walls
The formula for the curved surface area (CSA) of a cuboid, which represents the area of the four walls of the room, is given by:
\[ \text{CSA} = 2H(L + B) \]

Substituting the values:
\[ \text{CSA} = 2 \times 4 \times (6 + 5.4) \]
\[ \text{CSA} = 2 \times 4 \times 11.4 \]
\[ \text{CSA} = 8 \times 11.4 \]
\[ \text{CSA} = 91.2 \, \text{m}^2 \]

### Step 3: Calculate the area of the roof
The area of the roof of the room can be calculated using the formula:
\[ \text{Area of Roof} = L \times B \]

Substituting the values:
\[ \text{Area of Roof} = 6 \times 5.4 \]
\[ \text{Area of Roof} = 32.4 \, \text{m}^2 \]

### Final Results
1. The area of the four walls of the room is **91.2 m²**.
2. The area of the roof of the room is **32.4 m²**.

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