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What will be the volume of a cube whose total surface area is 1944 cm2?

This question was previously asked in
NTPC CBT-I (Held On: 20 Jan 2021 Shift 1)
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  1. 5832 cm3
  2. 3888 cm3
  3. 729 cm3 
  4. 972 cm3

Answer (Detailed Solution Below)

Option 1 : 5832 cm3
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Detailed Solution

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Given

Total surface area of cube = 1944 cm2

Formula used

Total surface area of cube = 6(side)2

Volume of cube = (side)3

Calculation

Let side of a cube is a cm.

6a2 = 1944

⇒ a2 = 1944/6

⇒ a2 = 324

⇒ a = 18 cm

Volume of a cube = (18)3

⇒ 18 × 18 × 18

⇒ 5832 cm3

∴ The volume of a cube is 5832 cm3

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