Find the surface area of a cuboid 10 m long, 5 m broad and 3 m high.

Options

A. 105 sq m
B. 104 sq m
C. 170 sq m
D. 190 sqm

Answer

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

### Step 1: Identify the dimensions of the cuboid.
- Length (l) = 10 m
- Breadth (b) = 5 m
- Height (h) = 3 m

### Step 2: Write down the formula for the surface area of a cuboid.
The formula for the surface area (SA) of a cuboid is:
\[ SA = 2(lb + bh + hl) \]
where:
- \( l \) = length
- \( b \) = breadth
- \( h \) = height

### Step 3: Substitute the values into the formula.
Now we will substitute the values of length, breadth, and height into the formula:
\[ SA = 2(10 \times 5 + 5 \times 3 + 3 \times 10) \]

### Step 4: Calculate the products inside the parentheses.
First, calculate each term:
- \( lb = 10 \times 5 = 50 \)
- \( bh = 5 \times 3 = 15 \)
- \( hl = 3 \times 10 = 30 \)

Now, add these values together:
\[ 50 + 15 + 30 = 95 \]

### Step 5: Multiply the sum by 2.
Now, multiply the sum by 2 to find the surface area:
\[ SA = 2 \times 95 = 190 \]

### Step 6: State the final answer.
The surface area of the cuboid is \( 190 \, \text{m}^2 \).

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