If the volume of a cube is 5832 cm3, then what is the lateral surface area of this cube ? 

This question was previously asked in
SSC MTS (2022) Official Paper (Held On: 09 May 2023 Shift 3)
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  1. 1024 cm2
  2. 384 cm2
  3. 576 cm2
  4. 1296 cm2

Answer (Detailed Solution Below)

Option 4 : 1296 cm2
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
90 Qs. 150 Marks 90 Mins

Detailed Solution

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Given:

The volume of the cube = 5832 cm³.

Formula Used:

Side of Cube (a) = cube root of (Volume of cube)

Lateral Surface Area of a Cube = 4 × a²

Calculation:

⇒ a3 = (5832)

⇒ a = 18

So, Lateral surface area = 4 × (18)² = 1296 cm²

∴ The lateral surface area of the cube is 1296 cm².

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