Question

The lateral surface area of a cube is 1156 cm2

, then the side of the cube is

(1) 17 2 cm (2) 28 cm

(3) 17 cm (4) 34 cm​

Answer 1

Answer:

(3) 17cm

Step-by-step explanation:

lateral surface area of a cube=4×side²

1156= 4×side²

side²=1156/4

side=√289

=17cm

Answer 2

Required Answer :

${\underline {\boxed {\Large {\bf \gray { Option \: C \: (17 \: cm) } }}}}$

Explanation:-

Given:

• Lateral surface area of cube = 1156 cm²

To calculate:

• Side of the cube.

Calculation:

We know that,

$\boxed{\bf{ {Lateral \: Surface}_{(Cube)} = 4 \times {a}^{2}}}$

Where,

a = side

But, according to the question:

• Step 1 : Forming suitable equation.

➨ $\bf { 1156 = 4 \times {a}^{2}}$

• Step 2 : Transposing 4 from RHS to LHS.

➨ $\bf { \dfrac{ 1156}{4} = {a}^{2}}$

• Step 3 : Solving LHS.

➨ $\bf { 289= {a}^{2}}$

➨ $\bf { \sqrt{289}= a }$

➨ $\bf \red { 17 = a }$

Therefore, side of the cube is 17 cm.

Option C is correct.

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More formulae related to cube :

Volume of cube ⇒ (Side)³

T.S.A of cube ⇒ (6 × Side)²

L.S.A of cube ⇒ (4 × Side)²