If the volume of a cube is 512 cm3, then the measure of the main diagonal of the cube will be:

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RRB Group D 13 Sept 2022 Shift 1 Official Paper
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  1. \(8\sqrt 3 \) cm
  2. \(17\sqrt 3 \) cm
  3. \(14\sqrt 3 \) cm
  4. \(7\sqrt 3 \) cm

Answer (Detailed Solution Below)

Option 1 : \(8\sqrt 3 \) cm
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Detailed Solution

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Given:

The volume of a cube is 512 cm3

Formula Used:

Volume of cube = Side3

The diagonal of the cube = a√3

Calculation:

The volume of a cube is 512 cm3.

Let the side be x.

⇒ x3 = 512

⇒ x = 8 cm

The diagonal of the cube = 8√3

The answer is 8√3

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