Find the volume and surface area of a cuboid 18 m long, 14 m broad and 7 m high.

Answer

To find the volume and surface area of a cuboid with the given dimensions, we will follow these steps:

### Step 1: Identify the dimensions of the cuboid
- Length (l) = 18 m
- Breadth (b) = 14 m
- Height (h) = 7 m

### Step 2: Calculate the volume of the cuboid
The formula for the volume (V) of a cuboid is:
\[ V = l \times b \times h \]

Substituting the values:
\[ V = 18 \, \text{m} \times 14 \, \text{m} \times 7 \, \text{m} \]

Calculating step-by-step:
1. First, calculate \( 18 \times 14 \):
\[ 18 \times 14 = 252 \]
2. Now multiply the result by the height (7):
\[ 252 \times 7 = 1764 \]

Thus, the volume of the cuboid is:
\[ V = 1764 \, \text{m}^3 \]

### Step 3: Calculate the surface area of the cuboid
The formula for the surface area (SA) of a cuboid is:
\[ SA = 2 \times (l \times b + b \times h + h \times l) \]

Substituting the values:
\[ SA = 2 \times (18 \times 14 + 14 \times 7 + 7 \times 18) \]

Calculating step-by-step:
1. Calculate \( 18 \times 14 \):
\[ 18 \times 14 = 252 \]
2. Calculate \( 14 \times 7 \):
\[ 14 \times 7 = 98 \]
3. Calculate \( 7 \times 18 \):
\[ 7 \times 18 = 126 \]
4. Now sum these results:
\[ 252 + 98 + 126 = 476 \]
5. Finally, multiply by 2:
\[ SA = 2 \times 476 = 952 \]

Thus, the surface area of the cuboid is:
\[ SA = 952 \, \text{m}^2 \]

### Final Results:
- Volume of the cuboid = 1764 m³
- Surface area of the cuboid = 952 m²

---