1.

If the total surface area of a cube is 864 square cm, find the volume of the cube:1. 1728 cm32. 1624 cm33. 144 cm34.

Answer» Correct Answer - Option 1 : 1728 cm3

Given: 

Total surface area of cube 864 cm2

Formula used: 

If one side of the cube be 'a' then,

Total surface area of the cube = 6a2

Volume of cube = a3

Calculation:

Accordingly,

6a2 = 864

a2= 144

a = 12

Volume of cube = a3 = 123

⇒  1728 cm3

∴ The volume of the cube is 1728 cm3.

 



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