If the diagonal of a cube is of length 3 l, then the total surface are

1.	If the diagonal of a cube is of length 3 l, then the total surface area of the cube is?1. 6 l22. 12√3 l23. 18 l24. 9√5 l2
Answer» 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.

If the diagonal of a cube is of length 3 l, then the total surface area of the cube is?1. 6 l22. 12√3 l23. 18 l24. 9√5 l2

Answer» 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.

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If the diagonal of a cube is of length 3 l, then the total surface area of the cube is?1. 6 l22. 12√3 l23. 18 l24. 9√5 l2

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