🤓 Based on our data, we think this question is relevant for Professor Norton's class at FSCJ.

__ Recall:__ The

If **r = radius of the sphere**, then the diagonal **d = 4r**, since it spans through 2 spheres. We can express the **diagonal b** in terms of the **length of the cube a**, using Pythagorean theorem.

When spheres of radius r are packed in a body-centered cubic arrangement, they occupy 68 % of the available volume. Use the fraction of occupied volume to calculate the value of a, the length of the edge of the cube in terms of r.