If the diagonal of a cube is of length 3 l, then the total surface area of the cube is?
1. 6 l2
2. 12√3 l2
3. 18 l2
4. 9√5 l2
If the diagonal of a cube is of length 3 l, then the total surface area of the cube is?
1. 6 l2
2. 12√3 l2
3. 18 l2
4. 9√5 l2
1. 6 l2
2. 12√3 l2
3. 18 l2
4. 9√5 l2
Correct Answer – Option 3 : 18 l2
Given:
Diagonal of a cube is of length = 3 l
Concept:
Diagonal of cube = √3 × a
The total surface area of cube = 6 × a2
Where a = side
Explanation:
According to the question,
√3 × a = 3 l
⇒ a = √3 l
The total surface area of cube = 6 × (√3 l)2
⇒ The total surface area of cube = 18 l2
∴ The total surface area of the cube is 18 l2.