Cuboid Surface Area Calculation

We need to find the surface area of a cuboid with the given dimensions.

• Length ($l$): 10 cm
• Breadth ($b$): 5 cm
• Height ($h$): 2 cm

Surface Area Formula

The formula for the total surface area of a cuboid is:

Surface Area = $2(lb + bh + hl)$

Step-by-Step Calculation

Substitute the given values into the formula:

Surface Area = $2 \times ((10 \text{ cm} \times 5 \text{ cm}) + (5 \text{ cm} \times 2 \text{ cm}) + (2 \text{ cm} \times 10 \text{ cm}))$

First, calculate the products inside the parentheses:

• $l \times b = 10 \times 5 = 50 \text{ cm}^2$
• $b \times h = 5 \times 2 = 10 \text{ cm}^2$
• $h \times l = 2 \times 10 = 20 \text{ cm}^2$

Now, add these values:

Surface Area = $2 \times (50 \text{ cm}^2 + 10 \text{ cm}^2 + 20 \text{ cm}^2)$

Surface Area = $2 \times (80 \text{ cm}^2)$

Finally, perform the multiplication:

Surface Area = $160 \text{ cm}^2$

Final Answer

The surface area of the cuboid is $160 \text{ cm}^2$.