Respuesta :

Answer:

The edge length of the cube is = 3/4

Step-by-step explanation:

The volume of a cube is = l × l × l

= l³

V = l³

27/64 = l³

l = ∛(27/64)

l = 3/4

All edge lengths of the cube are equal. Then the edge length of the cube is 3/4 units.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The volume of the cube is 27/64 cubic units.

We know the formula of the volume is given as

[tex]\rm Volume = a^3[/tex]

where a is the edge length of the cube.

[tex]a^3 = \dfrac{27}{64}\\\\\\a \ \ = \sqrt[3]{\dfrac{27}{64}}\\\\\\a \ \ = \dfrac{3}{4}[/tex]

The edge length of the cube is 3/4 units.

More about the geometry link is given below.

https://brainly.com/question/7558603