Question

Diagonal of a cube is 3√3 cm. Find the volume of the cube​

Answer 1

Solution:

The diagonal of cube = 3√3 cm

To be found :-

The volume of the cube

The formula for finding diagonal of cube

= √3a    [ ∴ In which a is the side of the cube ]

So,

⇒ √3a = 3√3

⇒ a =  

⇒ a = 3

Therefore,

Side of the cube = a = 3 cm

Now,

Volume of the cube = a³  unit cube.

[ ∴ In which a is the side of the cube ]

= (3)³ = 3 × 3 × 3

=  27 cm cube.

Hence,

The volume of the cube is 27 cm cube.

Answer 2

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Diagonal of a cube is 3√3 cm. Find the volume of the cube

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