So, this was a problem in the new standardized high school tests California has started using(CAASP). These new tests are completely done on the computer, and feature what they call Computer Adaptive Testing. Basically, the test "adapts" to how the student is doing, and offers harder or easier problems based on it.
However, this problem appeared as the second to last question, and was extremely tricky. I'm curious as to how one is supposed to do this problem.
How many spheres with diameter $3$ can one fit into a rectangular prism with dimensions $24.1$, $30.1$, and $16.9$?
If anybody needs any clarifications, I'll try to be fairly prompt.