# CLASS-6SURFACE AREA OF CUBE

SURFACE AREA OF CUBE -

In a cube, length = breadth = height = a units

The surface area of a cube of an edge a units in length

=  2 (lb + lh + bh) sq.units

=  2 {(a X a) + (a X a) + (a X a)}

=  2 (a² + a² + a²)

=  2 (3a²)

=  6a²

Surface area of a cube = 6 (length of an edge)²

Example.1) Let's say you have a cube with a side length of 4 inches. To find its surface area, you would use the formula -

Ans.)

Surface Area = 6s²

Surface Area = 6 (4 inches)²

Surface Area = 6 (16 square inches)

Surface Area = 96 square inches

So, the surface area of this cube is 96 square inches.   (Ans.)

Example.2) Suppose you have a cube with a side length of 2 centimeters. To calculate its surface area, use the formula -

Ans.)

Surface Area = 6

Surface Area = 6 (2 cm)²

Surface Area = 6 (4 square centimeters)

Surface Area = 24 square centimeters

The surface area of this cube is 24 square centimeters.      (Ans.)

Example.4) Consider a cube with a side length of 5 meters. To determine its surface area, apply the formula -

Ans.)

Surface Area = 6

Surface Area = 6 (5 meters)²

Surface Area = 6 (25 square meters)

Surface Area = 150 square meters

So, the surface area of this cube is 150 square meters.     (Ans.)

In each of these examples, we used the formula for the surface area of a cube, substituting the given side length (s) to find the total surface area. The surface area represents the sum of the areas of all six faces of the cube.