. 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 . angular 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


. 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 . angular 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 and the hypotenuse are given.—Figure72. Subtract the square of the perpendicular from thesquare of the hypotenuse. The square root of the differ-ence is equal to the length of the base. Base = V Hypotenuse2 — Perpendicular2 or B = V C2 — H2 To find the perpendicular of a right-angled trianglewhen the base and hypotenuse are #ii;ew.—Subtract the. square of the base from the square of the square root of the difference is equal to the lengthof the perpendicular. Perpendicular — V Hypotenuse2 — Base2 or H = V C2 — B2 PRACTICAL GEOMETRY AND MENSURATION 495 To find the hypotenuse of a right-angled trianglewhen the base and the perpendicular are given.—Thesquare root of the sum of the squares of the base andthe perpendicular is equal to the length of the hypothe-nuse. Hypotenuse = V Base2 + Perpendicular2C = V B2 + H2 To find the perpendicular height of any oblique angledtriangle.—Figure 73. From half the sum of the three


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