A cuboid is 8 m long . 12 m broad and 3.5 m high. Find its
total surface area.

Answer

To find the total surface area of a cuboid, we can follow these steps:

### Step 1: Identify the dimensions of the cuboid
The dimensions given are:
- Length (L) = 8 m
- Breadth (B) = 12 m
- Height (H) = 3.5 m

### Step 2: Write down the formula for the total surface area of a cuboid
The formula for the total surface area (TSA) of a cuboid is:
\[ \text{TSA} = 2(LB + BH + HL) \]

### Step 3: Calculate each term in the formula
Now we will calculate each term in the formula:
1. Calculate \( LB \):
\[ LB = L \times B = 8 \times 12 = 96 \, \text{m}^2 \]

2. Calculate \( BH \):
\[ BH = B \times H = 12 \times 3.5 = 42 \, \text{m}^2 \]

3. Calculate \( HL \):
\[ HL = H \times L = 3.5 \times 8 = 28 \, \text{m}^2 \]

### Step 4: Sum the calculated areas
Now, we will sum these areas:
\[ LB + BH + HL = 96 + 42 + 28 = 166 \, \text{m}^2 \]

### Step 5: Multiply the sum by 2 to find the total surface area
Now, we will multiply the sum by 2:
\[ \text{TSA} = 2 \times 166 = 332 \, \text{m}^2 \]

### Final Answer
The total surface area of the cuboid is:
\[ \text{TSA} = 332 \, \text{m}^2 \]

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