What is the volume of a cube if the perimeter of one face of the cube is 40 cm? 

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SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 3)
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  1. 1000 cm3
  2. 820 cm3
  3. 600 cm3
  4. 800 cm3

Answer (Detailed Solution Below)

Option 1 : 1000 cm3
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PYST 1:SSC CGL 2023 - Quantitative Aptitude(Held On:14 Jul 2023 Shift 1)
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Detailed Solution

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Given:

Perimeter of one face of cube = 40 cm

Formula used:

Volume of cube = (side)3

Calculation:

Let, side of a cube = a cm

Perimeter of one face of cube = 40 cm

⇒ 4 × a = 40 cm

⇒ a = 10 cm

Volume of cube = a3 = (10)3 = 1000 cm3

∴ The correct answer is 1000 cm3.

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