Question

Lateral surface area of a cube whose edge is $3.5\,cm$ is ?

Answer 1

Hint: This question is just an application of a single formula. There are basically two formulas for finding the area of a cube. The first one is for total surface area and the second one is for lateral surface area. Don’t get confused by them. You have to find the lateral surface area.

Formula used:
lateral surface area of cube= $4{a^2}$
Where ‘$a$’ is the side of cube

Complete step by step answer:
In the given question, we have
Side length of a cube $ = \,a\, = 3.5cm$

$\text{Lateral surface area of cube} = 4{a^2}$
Now, putting the value of a
$ \Rightarrow \text{Lateral surface area of cube} =4{\left( {3.5} \right)^2}$
On squaring, we get
$ \Rightarrow \text{Lateral surface area of cube} =4 \times 12.25$
On multiplication, we get
$ \Rightarrow \text{Lateral surface area of cube} =49\,c{m^2}$

Hence, the required lateral surface area is $49\,c{m^2}$.

Note: The lateral area of a cube is defined as the total area of all side faces of the cube. A cube is a three-dimensional shape that is made up of $6$ congruent square faces. All the $6$ square faces of the cube are of the same size. Surface area of a cube is the sum of areas of all the faces of the cube that covers it. The formula for surface area is equal to six times the square of length of the sides of the cube. It is represented by $6{a^2}$, where a is the side length of the cube. It is basically the total surface area. A cube consists of an ‘n’ number of square units. Hence the space covered by these square units on the surface of the cube is the surface area.