Question

If the surface area of cube is
216cm, find its side and LSA.

Please answer it as soon as possible
​

Answer 1

Answer:

Given:-

Surface Area of cube = 216 cm^2

To find :-

• Side (a) of cube

• Lateral Surface Area of cube (LSA)

Solution:-

Let the side be 'a'cm

Then,

Total surface area of cube = 6a^2=216

=>

$= > 6 {a}^{2} = 216 \\ = > {a}^{2} = \frac{216}{6} \\ = > {a}^{2} = 36 \\ = > a = \sqrt{36} = 6cm$

Now ,

Side of cube (a) = 6cm

Then,

Lateral surface area of cube (LSA) = 4a^2

$= > 4 {a}^{2} \\ = > 4( {6}^{2}) \\ = > 4 \times 36 = 144 {cm}^{2}$

Some More Formulas about Cube:-

• Total surface area (TSA) = 6a^ 2

• Lateral surface area (LSA) = 4a^2

• Volume of Cube = a^3

• Length of Diagonal = √3a

Answer 2

Answer:

$\huge\rm\underline\purple{Given :-}$

• Surface area of cube is 216cm

$\huge\rm\underline\purple{To Find :-}$

• Side of cube
• Lateral Surface Area of cube

$\huge\rm\underline\purple{Solution :-}$

Surface area of cube = 6a²

⇒ 216 = 6a²

⇒ 216/6 = a²

⇒ 36 = a²

⇒ sq root 36 = a

⇒ 6 = a

• a = 6

Lateral Surface Area of cube = 4a²

⇒ LSA = 4 × (6)²

⇒ LSA = 4 × 36

⇒ LSA = 144 cm²

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