The surface area of a cube is 864 cm2. The volume of the cube is         .

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 2)
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  1. 1728 cm3
  2. 2197 cm3
  3. 1331 cm3
  4. 729 cm3

Answer (Detailed Solution Below)

Option 1 : 1728 cm3
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Detailed Solution

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Given:

The surface area of a cube is 864 cm2

Concept used:

1. Surface area of a cube = 6 × (Side)2

2. Volume of a cube = (Side)3

Calculation:

Let the measure of each side of the cube be A cm.

​According to the question,

6A2 = 864

⇒ A2 = 144

⇒ A = 12

Now, the volume of the cube = 123 = 1728 cm3

∴The volume of the cube is 1728 cm3.

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