Question

find the side of a cube whose L.S.A is 196cm2​

Answer 1

Answer:

The side of the cube is 7 cm.

Step-by-step explanation:

Solution:

Lateral Surface Area = 196 cm²

Let the side be = y

$\bigstar \: \boxed{\sf{Lateral \: Surface \: Area \: of \: Cube = {4s}^{2} }}$

$\sf{\longrightarrow} \: 4 {y}^{2} = 196$

$\sf{\longrightarrow} \: {y}^{2} = \dfrac{196}{4}$

$\sf{\longrightarrow} \: {y}^{2} = 49$

$\sf{\longrightarrow} \: y = \sqrt{49}$

$\sf{\longrightarrow} \: y = \sqrt{7 \times 7}$

$\sf{\longrightarrow} \: y = 7$

Side = 7 cm

Therefore, the side of the cube is 7 cm.

Answer 2

Answer:

Given :-

• LSA of cube = 196 cm²

To Find :-

Side of cube

Concept :-

At first we will assume the side as x And, after we will use the formula of finding LSA :- 4a²

a is the side

$\sf \mapsto \: 196 = 4 {x}^{2}$

$\sf \mapsto \: \dfrac{196}{4} = {x}^{2}$

$\sf \mapsto \: 49 = {x}^{2}$

$\sf \mapsto \: \sqrt{49} = x {}^{2}$

$\frak \pink {7 = x}$

Let's Verify

$\sf \to \: 196 = 4( {7)}^{2}$

$\sf \to \: 196 = 4 \times 49$

$\sf \to \: 196 = 196$

• Hence, the side of cube is 7 cm