. Sheet metal workers' manual; a complete, practical instruction book on the sheet metal industry, machinery and tools, and related subjects, including the oxy-acetylen welding and cutting process . U- D- -J U- — Figure 69. Figure 68. To find the superficial area of the surface of the frus-tum of a cone.—Multiply the sum of the diameters ofthe ends by and by half the slant height. Add tothe result the area of both ends and the sum of the twowill be superficial area. Frustum of cone: Cubic contents: H (.2618 (E2 + D2) VEXD) Superficial area = (® + E^) + .7854 (E2 + D2) S *& E + H
. Sheet metal workers' manual; a complete, practical instruction book on the sheet metal industry, machinery and tools, and related subjects, including the oxy-acetylen welding and cutting process . U- D- -J U- — Figure 69. Figure 68. To find the superficial area of the surface of the frus-tum of a cone.—Multiply the sum of the diameters ofthe ends by and by half the slant height. Add tothe result the area of both ends and the sum of the twowill be superficial area. Frustum of cone: Cubic contents: H (.2618 (E2 + D2) VEXD) Superficial area = (® + E^) + .7854 (E2 + D2) S *& E + H2 To find the contents of a cube.—Figure 69. The con-tents are equal to the cube of one of its sides. PRACTICAL GEOMETRY AND MENSURATION 493 To find the superficial area of a cube.—The superficialarea of a cube is equal to six times the square of one of itssides. Cube: Cubic contents = area = 6D2. To find the cubic contents of a rectangular solid.—Figure 70. Multiplying together the length, width, and —T. O -^1 ^ »l Figure 70. Figure 71. height will give the cubic contents of the rectangularsolid. To find the superficial area of a rectangular solid.—Multiply the width by the sum of the height and lengthand add to it the product of the height multiplied bythe length. Twice this sum is the superficial area of therectangular solid. Rectangular solid: Cubic contents = D X H X LSuperficial area = 2 (D (H + L) +HL) To find the cubic contents of a pyramid.—Figure the area of the base by one-third the perpen-dicular height and the product will be the cubic contentsof the pyramid. Tb find the superficial area of a pyramid.—Multiplythe circumference of the base by half the slant height and 494 SHEET METAL WORKERS MANUAL to this add the area of the base. The sum will be thesuperficial area. D2XH Pyramid: Cubic contents = q 4D + S + 4D Superficial area; MENSURATION OF TRIANGLES To find the base of a right-angled triangle when theperpendicular
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