Find the surface area of a chalk box, whose length, breadth and height are 16 cm, 4 cm and 6 cm respectively.

Answer

To find the surface area of a chalk box (which is a cuboid), we can follow these steps:

### Step 1: Identify the dimensions of the cuboid
The dimensions given are:
- Length (l) = 16 cm
- Breadth (b) = 4 cm
- Height (h) = 6 cm

### Step 2: Use the formula for the total surface area of a cuboid
The formula for the total 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
Substituting the values into the formula:
\[ SA = 2(16 \times 4 + 4 \times 6 + 6 \times 16) \]

### Step 4: Calculate each term inside the parentheses
Calculate each multiplication:
- \( 16 \times 4 = 64 \)
- \( 4 \times 6 = 24 \)
- \( 6 \times 16 = 96 \)

Now, add these results together:
\[ 64 + 24 + 96 = 184 \]

### Step 5: Multiply by 2 to find the total surface area
Now, multiply the sum by 2:
\[ SA = 2 \times 184 = 368 \, \text{cm}^2 \]

### Final Answer
The surface area of the chalk box is \( 368 \, \text{cm}^2 \).

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