There's some pretty simple rules of thumb when it comes to knowing what will be the cheapest way to ship:
Related: How to Get Free Shipping Supplies from USPS, UPS, FedEx, and DHL
One benefit of Priority Mail Cubic is you can use your own packaging, but USPS also offers free boxes you can use with Priority Mail Cubic:
Priority Mail Box - 1096L | OD: 9-7/16" x 6-7/16" x 2-3/16" | Cubic Tier 1
Priority Mail Box - 4 | OD: 7-1/4" x 7-1/4" x 6-1/2" | Cubic Tier 2
Priority Mail Box - 1097 | OD: 11.625" x 2.5" x 13.4375" | Cubic Tier 3
Priority Mail Box - 1092 | OD: 12.25" x 2.875" x 13.6875" | Cubic Tier 3
Priority Mail Box - 1095 | OD: 12.5" x 3.125 x 15.375" | Cubic Tier 4
Priority Mail Box - Shoe Box | OD: 7-3/8" x 5-1/4" x 14-7/8" | Cubic Tier 4
Learn More: USPS First Class Package and Other USPS Mail Classes