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75% of the total surface area of a cube is 1300.5 sq.cm, Find the volume of the cube. 
1. 3375 cu.cm
2. 4913 cu.cm
3. 4096 cu.cm
4. 5832 cu.cm

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Correct Answer - Option 2 : 4913 cu.cm

Given:

75% of T.S.A = 1300.5 sq.cm

Formula used:

T.S.A of cube = 6a2

Volume of cube = a3

Calculation:

Let the T.S.A be x

so, 3/4 × x = 1300.5

⇒ x = (1300.5 × 4)/3 = 1734 sq.cm

6a2 = 1734

⇒  a2 = 289

⇒ a = 17 cm

Volume = 173 = 4913 cu.cm

∴ The volume is 4913 cu.cm

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