# What is the formula for the surface area of a cuboid?

#### Understand the Problem

The question is asking for the formula to calculate the surface area of a cuboid. A cuboid is a three-dimensional shape with six rectangular faces, and the surface area can be calculated by adding the areas of all the faces together. The formula is typically expressed as 2(lb + bh + hl), where l is the length, b is the breadth, and h is the height of the cuboid.

The surface area of a cuboid is given by the formula $SA = 2(lb + bh + hl)$.

The formula to calculate the surface area of a cuboid is

$$SA = 2(lb + bh + hl)$$

#### Steps to Solve

1. Identify the dimensions of the cuboid

To calculate the surface area, we need the values for the length ($l$), breadth ($b$), and height ($h$) of the cuboid.

1. Apply the surface area formula

Using the formula for the surface area of a cuboid:

$$SA = 2(lb + bh + hl)$$

where $SA$ is the surface area, $l$ is the length, $b$ is the breadth, and $h$ is the height.

1. Calculate the individual areas of each pair of faces

We can break down the components:

• The area of the two length-breadth faces: $2(lb)$
• The area of the two breadth-height faces: $2(bh)$
• The area of the two height-length faces: $2(hl)$

So, when summed together, we end up with:

$$SA = 2(lb + bh + hl)$$

1. Substitute the values into the formula

Once we have the values for $l$, $b$, and $h$, we replace them in the formula to compute the total surface area.

The formula to calculate the surface area of a cuboid is

$$SA = 2(lb + bh + hl)$$