Introduction:

The surface area of a cuboid is a key concept in geometry. It refers to the total area of all the faces of a cuboid, which is a three-dimensional shape with six rectangular faces.



Understanding Surface Area of a Cuboid:



A cuboid, also known as a rectangular prism, has six faces, each a rectangle.

The surface area is the sum of the areas of all these faces.

Formula for Calculating Surface Area:



The surface area of a cuboid is calculated using the formula: Surface Area = 2lw + 2lh + 2wh, where:

l is the length of the cuboid.

w is the width.

h is the height.

Example:



For a cuboid with a length of 6 units, width of 4 units, and height of 3 units:

The surface area = 2(6×4) + 2(6×3) + 2(4×3) = 48 + 36 + 24 = 108 square units.

Key Points to Remember:



Calculate the area of each face and sum them up to get the total surface area.

The surface area is expressed in square units.

Practical Applications:



Knowing the surface area of a cuboid is useful in various real-world scenarios like packaging, construction, and design.