Find the surface area of a cuboid 16 m long, 14 m broad and 7 m high.

Options

A. 1568 `m^3`
B. 868 `m^2`
C. 6815 `m^3`
D. 688 `m^2`

Answer

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

### Step 1: Identify the dimensions of the cuboid
The dimensions given are:
- Length (L) = 16 m
- Breadth (B) = 14 m
- Height (H) = 7 m

### Step 2: Use the formula for the surface area of a cuboid
The formula for the surface area (SA) of a cuboid is:
\[ SA = 2(LB + BH + LH) \]

### Step 3: Calculate each term inside the parentheses
1. Calculate \( LB \):
\[ LB = L \times B = 16 \times 14 = 224 \, \text{m}^2 \]

2. Calculate \( BH \):
\[ BH = B \times H = 14 \times 7 = 98 \, \text{m}^2 \]

3. Calculate \( LH \):
\[ LH = L \times H = 16 \times 7 = 112 \, \text{m}^2 \]

### Step 4: Add the results from Step 3
Now, we add these three results together:
\[ LB + BH + LH = 224 + 98 + 112 = 434 \, \text{m}^2 \]

### Step 5: Multiply by 2 to find the surface area
Now, we multiply the sum by 2:
\[ SA = 2 \times 434 = 868 \, \text{m}^2 \]

### Final Answer
The surface area of the cuboid is \( 868 \, \text{m}^2 \).

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