Question

a cube has a diagonal of √192 cm. what is the volume of the cube?

Answer 1

Answer:

512 cm³

Step-by-step explanation:

Let the side of the cube be 'a' cm.

Then the length of the diagonal of the cube=√3*a cm

⇒√3*a=√192

           =8√3

⇒a=8 cm.

The volume of the cube=a³cm³.

⇒Volume = (8)³

⇒Volume = 512 cm³

Answer 2

Answer:512

Step-by-step explanation:

cube of diagonal =$\sqrt{3} a$

$\sqrt{3}a$=√19

a=√192/$\sqrt{3\\}$

= $\sqrt{3*64} /\sqrt{3}$=8$\sqrt{3\\}$/

=8

volume=$a^{3}$=512

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