Question

The diagonal of a cube is √192 cm. its volume (in cm3) will be

Answer 1

diagonal of cube= √3*side

Answer 2

Answer:

512 cubic cm.

Step-by-step explanation:

Diagonal of Cube = $\sqrt{3} a$

Where a is the side of the cube

Since we are given that The diagonal of a cube is √192 cm

So, $\sqrt{192}=\sqrt{3} a$

$\frac{\sqrt{192}}{\sqrt{3}}= a$

$8= a$

thus the side of the cube is 8 cm

Volume of cube = $a^3$

Where a is the side of the cube

So, Volume of cube = $8^3$

                                  = $512 cm^3$

Hence the volume of cube is 512 cubic cm.