Miscellaneous Military Items: Determining the Number of Shot in a Triangular Pile

Miscellaneous Military Information: Determining the Number of Shot in a Triangular Pile

Side	Content	Side	Content
2	4	26	3276
3	10	27	3654
4	20	28	4060
5	35	29	4495
6	56	30	4960
7	84	31	5455
8	120	32	5984
9	165	33	6545
10	220	34	7140
11	286	35	7770
12	364	36	8436
13	455	37	9139
14	560	38	9880
15	680	39	10660
16	816	40	11480
17	969	41	12341
18	1140	42	13244
19	1330	43	13440
20	1540	44	15180
21	1771	45	16215
22	2024	46	17296
23	2300	47	18624
24	2600	48	19600
25	2925	49	20825

Note:

1. Side = number of shot in one side at the base of the pile.

2. Content = number of shot in the pile.

3. Rule for finding the number of shot in a triangular pile: Multiply the base by the base + 1. Then multiply this product by the base + 2. Divide the result by 6. For example:

To find the number of shot in a triangular pile with 6 balls at the base:

(6) X (6 + 1) = 42
42 X (6 + 2) = 336
336 / 6 = 56

Source:

The Little Bombardier and Pocket Gunner London: T Egerton; 1801. Page 192

Tousard, Louis de. American Artillerist's Companion or Elements of Artillery Vol. 1 New York: Greenwood Press; 1969. Page 364

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