1.

The face diagonal of the cube is 10 cm. Find the volume of the cube.1. 250 cm32. 250√2 cm33. 125√2 cm34. 125 cm3

Answer» Correct Answer - Option 2 : 250√2 cm3

Given: 

Face diagonal of the cube is 10 cm

Concept:  

Face diagonal of cube = √2 × side

The volume of the cube = (Side)3

Calculation: 

Face diagonal of cube =  √2 × side

⇒ 10 = √2 × side

⇒ Side = 5√2 cm 

The volume of the cube is 

⇒ (5√2)3 

⇒ 250√2 cm3

∴ The required volume of the cube is 250√2 cm3.  



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