Answer:
The edge length is 3/4
Step-by-step explanation:
Given
Shape: Cube
[tex]Volume = 27/64[/tex]
Required
Determine the edge length
Let the edge length be l.
So:
[tex]Volume=l^3[/tex]
Substitute 27/64 for Volume
[tex]27/64=l^3[/tex]
Express as exponent og 3
[tex]3^3/4^3 = l^3[/tex]
Apply indices rule
[tex](3/4)^3 = l^3[/tex]
Take cube root of both sides
[tex]3/4 = l[/tex]
[tex]l =3/4[/tex]
