PART V. MENSURATION OF SOLIDS, APPLIED TO GAUGING. PROBLEM I. The side of a cubical vessel being given, to find its content in ale and wine gallons, and malt bushels. EXAM. 2. By Multiplication. 58.7 side. 58.7 side. 4109 4696 2935 3445.69 product. 58.7 side. 24119 83 275655 2 1722845 202262.003 cubic inches. .003 546 multiplier. 1213572 018 8090480 12 1011310015 606786009 717.221062638 ale gallons. Here 86.5 x 86.5 × 86.5 = 748.25 X 86.5 = 647214.625, the content in cubic inches; and 647214.625 231 2801.794, the content of the vat in wine gallons. H 3 EXAM. 4. (See the Note.) Gallons. 862 content. 282 cubic inches. 1724 6896 1724 243084 content in cubic inches. Cubic Inches. 243084(62.4 inches, the side required. 216 27084 resolvend. 18 triple of 6. 1098 divisor. 8 cube of 2. 72 square of 2 x by the triple of 6. 216 triple of 2 × by the square of 6. 22328 subtrahend. 4756000 second resolvend. 186 triple of 62. 11532 triple square of 62. 115506 second divisor. 64 cube of 4. 2976 square of 4 x by the triple of 62. 46128 triple of 4 x by the square of 62. 4642624 second subtrahend. 113376 remainder. PROBLEM II. To find the content of a vessel in the form of a parallelopipedon. EXAM. 2. Inches. 92.8 length. 64.5 breadth. 464 0 3712 5568 5985.60 product. 11971 2 0 359136 0 2394240 Divisor 282)276534.72 0(980.619 ale gallons. 2538 2273 2256 1747 1692 552 282 2700 2538 162 Also, 276534.7202311197.12, the content in wine gallons; and 276534.7202150.42 the content in malt bushels. EXAM. 3. 128.595, Here 104 × 92.4 x 38.6 = 9609.6 x 38.6 = 370930.56, the content in cubic inches; and 370930.56 2311605.76, the content in wine gallons. |