How to read:
There are two ways to look at voids; composite or verticle. Compostie consists of two vertical layers of voids. The first layer (a) contains the placed item (base) and the 3 voids that surround it (v1, v2, v3). The second layer (b) consists of the 4 voids above the placed item (v1, v2, v3, v4). The voids aways exist in the same orientation: v1 is along the length, v2 is along the width, v3 is the junction between v1 & v2, while v4 only exists above the substrate.
The vertical layer is almost the same except v1a does not stop at the items depth but goes all the way to the top of the box. There is still a 2nd layer and it represents the void above the item. You cannot join v4b to v1a, v2a, or v1a+v2a+v3a until you bridge the depth gap up to the starting depth of v4b.
The following is demonstrating TWO different boxes placing ONE item. Each box has a unique item.
This is a representation of only the vertical views for a 24" x 24" x 24" box.
Trying to place 50815 items over 24 substrates into boxes
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name: Box #0 | %: 100 | volume: 13824 | used: 0
Packing Qty (1991) of size h23.9 inches | w23.9 inches
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LINE ITEM plain_paper #9 EXHAUSTED
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name: Box #0 | %: 68.4 | volume: 13824 | used: 4365
Packing Qty (2373) of size h16.9 inches | w22.9 inches
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LINE ITEM plain_paper #17 EXHAUSTED
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name: Box #0 | %: 42.9 | volume: 13824 | used: 7890
Packing Qty (1244) of size h17.9 inches | w21.9 inches
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name: Box #0 | %: 42.8 | volume: 13824 | used: 7903
Packing Qty (1235) of size h17.9 inches | w21.9 inches
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name: Box #0 | %: 42.7 | volume: 13824 | used: 7916
Packing Qty (1226) of size h17.9 inches | w21.9 inches
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name: Box #0 | %: 42.7 | volume: 13824 | used: 7917
Packing Qty (1225) of size h17.9 inches | w21.9 inches
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name: Box #0 | %: 42.7 | volume: 13824 | used: 7918
Packing Qty (1224) of size h17.9 inches | w21.9 inches
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<next box>
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name: Box #0 | %: 42.7 | volume: 13824 | used: 7918
Packing Qty (1224) of size h17.9 inches | w21.9 inches
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<next box>
<NEW box>
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name: Box #1 | %: 100 | volume: 13824 | used: 0
Packing Qty (1224) of size h17.9 inches | w21.9 inches
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LINE ITEM plain_paper #7 EXHAUSTED
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name: Box #1 | %: 86.7 | volume: 13824 | used: 1841
Packing Qty (2434) of size h18.9 inches | w19.9 inches
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LINE ITEM plain_paper #12 EXHAUSTED
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name: Box #1 | %: 61.3 | volume: 13824 | used: 5355
Packing Qty (2373) of size h17.9 inches | w19.9 inches
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name: Box #0 | %: 42.7 | volume: 13824 | used: 7918
Packing Qty (144) of size h17.9 inches | w19.9 inches
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<next box>
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Packing Qty (144) of size h17.9 inches | w19.9 inches
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LINE ITEM plain_paper #0 EXHAUSTED
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name: Box #0 | %: 42.7 | volume: 13824 | used: 7918
Packing Qty (2665) of size h14.9 inches | w19.9 inches
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name: Box #1 | %: 37.8 | volume: 13824 | used: 8599
Packing Qty (809) of size h14.9 inches | w19.9 inches
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LINE ITEM plain_paper #20 EXHAUSTED
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name: Box #1 | %: 31.1 | volume: 13824 | used: 9519
Packing Qty (2908) of size h14.9 inches | w18.9 inches
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name: Box #0 | %: 27.4 | volume: 13824 | used: 10030
Packing Qty (2321) of size h14.9 inches | w18.9 inches
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name: Box #1 | %: 26.6 | volume: 13824 | used: 10154
Packing Qty (498) of size h14.9 inches | w18.9 inches
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LINE ITEM plain_paper #19 EXHAUSTED
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name: Box #1 | %: 22.7 | volume: 13824 | used: 10692
Packing Qty (1675) of size h12.9 inches | w18.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #1 | %: 19.1 | volume: 13824 | used: 11187
Packing Qty (1145) of size h12.9 inches | w18.9 inches
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name: Box #1 | %: 19 | volume: 13824 | used: 11194
Packing Qty (1138) of size h12.9 inches | w18.9 inches
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name: Box #1 | %: 19 | volume: 13824 | used: 11194
Packing Qty (1137) of size h12.9 inches | w18.9 inches
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name: Box #1 | %: 19 | volume: 13824 | used: 11195
Packing Qty (1136) of size h12.9 inches | w18.9 inches
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<next box>
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Packing Qty (1136) of size h12.9 inches | w18.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #1 | %: 19 | volume: 13824 | used: 11195
Packing Qty (876) of size h12.9 inches | w18.9 inches
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<next box>
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Packing Qty (876) of size h12.9 inches | w18.9 inches
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name: Box #1 | %: 19 | volume: 13824 | used: 11195
Packing Qty (875) of size h12.9 inches | w18.9 inches
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<next box>
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Packing Qty (875) of size h12.9 inches | w18.9 inches
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name: Box #1 | %: 19 | volume: 13824 | used: 11195
Packing Qty (874) of size h12.9 inches | w18.9 inches
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<next box>
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Packing Qty (874) of size h12.9 inches | w18.9 inches
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UNABLE TO PLACE 874 LEFT OVER OF plain_paper #22 {open new box}
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name: Box #0 | %: 11.4 | volume: 13824 | used: 12245
Packing Qty (874) of size h12.9 inches | w18.9 inches
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<next box>
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name: Box #1 | %: 19 | volume: 13824 | used: 11195
Packing Qty (874) of size h12.9 inches | w18.9 inches
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<next box>
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Packing Qty (874) of size h12.9 inches | w18.9 inches
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UNABLE TO PLACE 874 LEFT OVER OF plain_paper #22 {open new box}
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name: Box #0 | %: 11.4 | volume: 13824 | used: 12245
Packing Qty (874) of size h12.9 inches | w18.9 inches
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<next box>
<NEW box>
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name: Box #2 | %: 100 | volume: 13824 | used: 0
Packing Qty (874) of size h12.9 inches | w18.9 inches
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LINE ITEM plain_paper #22 EXHAUSTED
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name: Box #2 | %: 94.1 | volume: 13824 | used: 818
Packing Qty (1037) of size h12.9 inches | w16.9 inches
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LINE ITEM plain_paper #15 EXHAUSTED
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name: Box #2 | %: 87.8 | volume: 13824 | used: 1685
Packing Qty (2939) of size h8.9 inches | w22.9 inches
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LINE ITEM plain_paper #2 EXHAUSTED
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name: Box #2 | %: 71.2 | volume: 13824 | used: 3984
Packing Qty (2496) of size h11.9 inches | w16.9 inches
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LINE ITEM plain_paper #14 EXHAUSTED
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name: Box #2 | %: 57.2 | volume: 13824 | used: 5911
Packing Qty (2741) of size h7.9 inches | w23.9 inches
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name: Box #2 | %: 46.8 | volume: 13824 | used: 7349
Packing Qty (756) of size h7.9 inches | w23.9 inches
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LINE ITEM plain_paper #3 EXHAUSTED
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name: Box #2 | %: 42.9 | volume: 13824 | used: 7897
Packing Qty (2799) of size h8.9 inches | w20.9 inches
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name: Box #2 | %: 36.1 | volume: 13824 | used: 8834
Packing Qty (1487) of size h8.9 inches | w20.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #2 | %: 33.3 | volume: 13824 | used: 9219
Packing Qty (947) of size h8.9 inches | w20.9 inches
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name: Box #2 | %: 30.5 | volume: 13824 | used: 9604
Packing Qty (407) of size h8.9 inches | w20.9 inches
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name: Box #2 | %: 30.5 | volume: 13824 | used: 9605
Packing Qty (406) of size h8.9 inches | w20.9 inches
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<next box>
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Packing Qty (406) of size h8.9 inches | w20.9 inches
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UNABLE TO PLACE 406 LEFT OVER OF plain_paper #8 {open new box}
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name: Box #1 | %: 19 | volume: 13824 | used: 11195
Packing Qty (406) of size h8.9 inches | w20.9 inches
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<next box>
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Packing Qty (406) of size h8.9 inches | w20.9 inches
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UNABLE TO PLACE 406 LEFT OVER OF plain_paper #8 {open new box}
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name: Box #0 | %: 11.4 | volume: 13824 | used: 12245
Packing Qty (406) of size h8.9 inches | w20.9 inches
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<next box>
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name: Box #2 | %: 30.5 | volume: 13824 | used: 9605
Packing Qty (406) of size h8.9 inches | w20.9 inches
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<next box>
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Packing Qty (406) of size h8.9 inches | w20.9 inches
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UNABLE TO PLACE 406 LEFT OVER OF plain_paper #8 {open new box}
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #1 | %: 19 | volume: 13824 | used: 11195
Packing Qty (406) of size h8.9 inches | w20.9 inches
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<next box>
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Packing Qty (406) of size h8.9 inches | w20.9 inches
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UNABLE TO PLACE 406 LEFT OVER OF plain_paper #8 {open new box}
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name: Box #0 | %: 11.4 | volume: 13824 | used: 12245
Packing Qty (406) of size h8.9 inches | w20.9 inches
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<next box>
<NEW box>
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name: Box #3 | %: 100 | volume: 13824 | used: 0
Packing Qty (406) of size h8.9 inches | w20.9 inches
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LINE ITEM plain_paper #8 EXHAUSTED
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name: Box #3 | %: 97.9 | volume: 13824 | used: 290
Packing Qty (2545) of size h9.9 inches | w17.9 inches
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LINE ITEM plain_paper #21 EXHAUSTED
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name: Box #3 | %: 85.4 | volume: 13824 | used: 2021
Packing Qty (1813) of size h10.9 inches | w15.9 inches
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LINE ITEM plain_paper #10 EXHAUSTED
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name: Box #3 | %: 76.7 | volume: 13824 | used: 3227
Packing Qty (1231) of size h10.9 inches | w14.9 inches
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LINE ITEM plain_paper #1 EXHAUSTED
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name: Box #3 | %: 71.1 | volume: 13824 | used: 3994
Packing Qty (1514) of size h11.9 inches | w12.9 inches
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LINE ITEM plain_paper #11 EXHAUSTED
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name: Box #3 | %: 64.7 | volume: 13824 | used: 4886
Packing Qty (1740) of size h5.9 inches | w23.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #3 | %: 59.5 | volume: 13824 | used: 5601
Packing Qty (418) of size h5.9 inches | w23.9 inches
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LINE ITEM plain_paper #16 EXHAUSTED
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 254
name: Box #3 | %: 57.8 | volume: 13824 | used: 5827
Packing Qty (2563) of size h6.9 inches | w17.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #3 | %: 53.4 | volume: 13824 | used: 6445
Packing Qty (1261) of size h6.9 inches | w17.9 inches
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name: Box #3 | %: 49.7 | volume: 13824 | used: 6949
Packing Qty (196) of size h6.9 inches | w17.9 inches
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LINE ITEM plain_paper #18 EXHAUSTED
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name: Box #3 | %: 49.1 | volume: 13824 | used: 7042
Packing Qty (1727) of size h7.9 inches | w12.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #3 | %: 46.5 | volume: 13824 | used: 7389
Packing Qty (840) of size h7.9 inches | w12.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #3 | %: 44.3 | volume: 13824 | used: 7698
Packing Qty (49) of size h7.9 inches | w12.9 inches
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LINE ITEM plain_paper #5 EXHAUSTED
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 254
name: Box #3 | %: 44.2 | volume: 13824 | used: 7717
Packing Qty (2005) of size h8.9 inches | w11.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #3 | %: 41.8 | volume: 13824 | used: 8039
Packing Qty (1214) of size h8.9 inches | w11.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #3 | %: 39.5 | volume: 13824 | used: 8360
Packing Qty (424) of size h8.9 inches | w11.9 inches
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LINE ITEM plain_paper #23 EXHAUSTED
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 254
name: Box #3 | %: 38.3 | volume: 13824 | used: 8532
Packing Qty (2246) of size h5.9 inches | w13.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #3 | %: 35.9 | volume: 13824 | used: 8867
Packing Qty (1182) of size h5.9 inches | w13.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #3 | %: 34.1 | volume: 13824 | used: 9116
Packing Qty (391) of size h5.9 inches | w13.9 inches
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LINE ITEM plain_paper #4 EXHAUSTED
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 254
name: Box #3 | %: 33.2 | volume: 13824 | used: 9239
Packing Qty (1113) of size h6.9 inches | w10.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #3 | %: 31.3 | volume: 13824 | used: 9495
Packing Qty (227) of size h6.9 inches | w10.9 inches
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LINE ITEM plain_paper #6 EXHAUSTED
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 254
name: Box #3 | %: 30.8 | volume: 13824 | used: 9560
Packing Qty (2643) of size h5.9 inches | w5.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 254
name: Box #2 | %: 30.5 | volume: 13824 | used: 9605
Packing Qty (1853) of size h5.9 inches | w5.9 inches
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OVERALL PERCENTAGE: 77.7 @ $16