Question

Assertion(A): Volume of a cube is 216cm3 Then side of cube is 6 cm Reasoning(R ) : Volume of cube is equal to side x side * a) both are correct b) both are incorrect c) (A) is correct R) is incorrect d) A) is incorrect R) is correct​

Answer 1

Answer: Answer is (A)

Step-by-step explanation: Correct option is

A

216 cm  

3

 

Given, lateral surface area of a cube =216 cm  

2

.

 

We know, total surface area of cube =6(a)  

2

.

∴6(a)  

2

=216  

⟹(a)  

2

=  

6

216

​

 

⟹(a)  

2

=36  

⟹ a =6.

Also, volume of cube =( a)  

3

.

∴ Volume of cube =(6)  

3

=216 cm  

3

.

 

Therefore, option A is correct.

Answer 2

Solution :-

Assertion (A) :- Volume of a cube is 216cm³ Then side of cube is 6 cm .

Let us assume that, side of cube is x cm .

So,

→ Volume = side × side × side

→ Volume = (side)³

→ (x)³ = 216

→ x³ = 2 × 2 × 2 × 3 × 3 × 3

→ x³ = 2³ × 3³

→ x³ = (2 × 3)³

→ x³ = 6³

cube root both sides,

→ x = 6 cm .

Therefore when volume of a cube is 216cm³, then side of cube is 6 cm .

Hence, Assertion (A) is correct.

Reason (R) :- Volume of cube is equal to side x side .

• Incorrect .
• Volume of cube = Side × Side × Side .

Hence, Option (C) (A) is correct (R) is incorrect is correct answer .

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