. = 1*4074 cubic feet nearly. PROBLEM VIL To find the solidity of a To the length of the wedge add twice the length of thebase; multiply that sum by the height, and by the breadth of thebase, and one-sixth of the product will be the solidity. Example. Required the content in cubic inches of the wedge ABODE, whose base ABC = 12 inches long and 4 inches broad, the length of the edge D E = 10 inches, and perpen- - dicular height r E = 20 inches. S) 10+24 X 20 X 4 ? 452-83 cubic inches. PROBLEM VIII. To find the convex surfac
. = 1*4074 cubic feet nearly. PROBLEM VIL To find the solidity of a To the length of the wedge add twice the length of thebase; multiply that sum by the height, and by the breadth of thebase, and one-sixth of the product will be the solidity. Example. Required the content in cubic inches of the wedge ABODE, whose base ABC = 12 inches long and 4 inches broad, the length of the edge D E = 10 inches, and perpen- - dicular height r E = 20 inches. S) 10+24 X 20 X 4 ? 452-83 cubic inches. PROBLEM VIII. To find the convex surface and solid content of a sphere or globe. Rule 1. Multiply the square of the diameter by 3-1^:16 jtjieproduct will be the convex superfi<jie3. f^^^^ ui^^i^ Mensuration. 89. 1728 = 5-0243 cubic Rule 2. Multiply the cube of the diameter by -5236, and theproduct is the solid content. Example 1. Required the convex surfaceof a sphere, whose diameter A B = 25^inches. 25-5^ X 3-1416 =: 2042-8254 square inches,-i- 144 = 14*1862 square or superficial feet. Example 2. Required the solid content ofa sphere whose diameter A B — 25i inches. 25-5^ X -5236 = 8682*00795 cubic inches ; -feet. PROBLEM IX. To find the convex surface and solid content of the segment of a 1. Multiply the height of the segment by the whole cir-CHmference of the sphere, and the product is the curved surface. Rule 2. Add the square of the height to three times thesquare of the radius of the base ; multiply that j) sum by the height, and by 5236, and the pro-duct is the solid content. G^ Example 1. The diameter A B of the sphereABCD = 20 inches; what is the convex sur-face of that segment of it whose height E D =8 inches?
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Keywords: ., bookcentury1800, bookdecade1850, booksubjectenginee, bookyear1856
