Question

the diagonal of a cube is √12 cm. find its volume

Answer 1

Given length of diagonal of a cube = √12 cm
Recall that length of diagonal of a cube = √3 × Length of edge of the cube
⇒ √12 = √3 × Length of edge of the cube
∴  Length of edge of the cube = √12 / √3
                                               = 2√3 / √3 = 2
Thus the edge of the given cube is 2 cm

so volume of cube = a^3
= 2*2*2
= 8cm^3

Answer 2

Hi friend!!

we know that, the diagonal of a cube ( 'a' as it's side) is given by √3×a

Given,

√3×a=√12

√3×a=2√3

a=2

so, the volume of the cube =a³

=(2cm)³

=8cm³

I hope this will help you ;)