Respuesta :

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]

Answer:

3/4

Step-by-step explanation: try dividing because 4 is able to reach 64 and 3 can go to 27