Question

the volume of a cube whose diagonal is 5 √3 cm is​

Answer 1

Let side of the cube be a. Then

a√3 = 5√3

or a =5.

so volume = 5³ = 125

Answer 2

Answer: 5 cm

Step-by-step explanation:

Let the edge of cube be 'a' cm

Diagonal of cube=5$\sqrt{3}$cm

$\sqrt{3}$ a=5 $\sqrt{3}$

a=5 cm

Volume of cube=$a^{3}$=$5^{3}$=125 $cm^{3}$