Mark has a container in the shape of a cube. he uses 64 cubes with side lengths of
1 inch to completely fill the container.
what is the edge length of the container?

Step-by-step explanation:

The volume of a cube can be calculated with this formula:

Where "s" is the length of any edge of the cube.

We know that the length of each side of any of the cubes that Mark uses to fill the container, is 1 inch. Then, we can find the volume of any of them:

Since  Mark's container has the shape of a cube and he uses 64 of those cubes to completely fill this container, we get that the  the volume of the container is:

Finally, we can substitute this volume into the formula and the solve for "s":

a - base

b - exponent

so,