The surface area of a`(10cmxx 4cmxx3cm)` brick is

Options

A. `84cm^(2)`
B. `124 cm^(2)`
C. `164 cm^(2)`
D. `180cm^(2)`

Answer

To find the surface area of a brick with dimensions 10 cm, 4 cm, and 3 cm, we can follow these steps:

### Step 1: Identify the dimensions of the brick
- Length (L) = 10 cm
- Breadth (B) = 4 cm
- Height (H) = 3 cm

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

### Step 3: Substitute the dimensions into the formula
Now, we will substitute the values of L, B, and H into the formula:
\[ SA = 2(10 \times 4 + 4 \times 3 + 3 \times 10) \]

### Step 4: Calculate the products inside the brackets
Now, we calculate each of the products:
- \( 10 \times 4 = 40 \)
- \( 4 \times 3 = 12 \)
- \( 3 \times 10 = 30 \)

### Step 5: Add the results from the previous step
Now, we add these results together:
\[ 40 + 12 + 30 = 82 \]

### Step 6: Multiply by 2 to find the total surface area
Now, we multiply the sum by 2:
\[ SA = 2 \times 82 = 164 \, \text{cm}^2 \]

### Final Answer
The surface area of the brick is \( 164 \, \text{cm}^2 \).

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