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" To the areas of the two ends of the frustum add the square root of their product ; multiply the sum by the height of the frustum ; and one-third of the product will be the volume. "
Mensuration for Beginners: With Numerous Examples - Page 155
by Isaac Todhunter - 1869 - 296 pages
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Explanatory mensuration for the use of schools

Alfred Hiley - 1871 - 184 pages
...riyht-cone and of a ru^-pyramid.] RULES. — (1) To find the volume of 'he frustum of <; cone or pyramid. To the areas of the two ends of the frustum add the square root of their product ; multiply the snm by the height of the frustum ; and one-third of the product will be the volume. (2) To find the...
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Intuitive calculations; the readiest and most concise methods

Daniel O'Gorman - 1871 - 300 pages
...which the ends, though unequal, are similar figures, is as follows : — To the areas of the two ends add the square root of their product : multiply the sum by the length of the log, and take one-third of the product for the cubic contents. Thus, taking Ex. 6, above,...
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Explanatory Mensuration

Alfred Hiley - 1879 - 228 pages
...right-cone and of ar ight- pyramid.] RULES. — (1) To find the volume of the frustwm of a cone or pyramid. To the areas of the two ends of the frustum add the...; and one-third of the product will be the volume. (2) To find the volume of the frustum of a cone, when the diameter or radii of the two ends are given....
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Metrical Geometry: An Elementary Treatise on Mensuration

George Bruce Halsted - Measurement - 1881 - 258 pages
...multiplied by their normal distance apart. 83, To find the volume of a frustum of a pyramid. Eule ! To the areas of the two ends of the frustum add the square root of their product ; multiply this sum by one-third the altitude. THE MEASUREMENT OF VOLUMES. Proof : If Wi and w2 are two corresponding...
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A manual of commerce

William Waterston - 1884 - 314 pages
...third of the product will be the volume. 19. To find the volume of a frustum of a pyramid or cone; To the areas of the two ends of the frustum add the...frustum, and one-third of the product will be the volume. Ex. The area of one end of a frustum is 18 square inches, and of the other end 98 square inches ; and...
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The Crittenden Commercial Arithmetic and Business Manual ...

John Groesbeck - 1891 - 426 pages
...Solid Contents of a Frustum of a Pyramid or Cone. Rule. — To the sum of the areas of both bases, add the square root of their product ; multiply the sum by the altitude, and divide byS. EXAMPLES. 1. Required the solid contents of a frustum of a pyramid, the area...
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Elementary Manual on Steam and the Steam Engine

Andrew Jamieson - Steam - 1897 - 362 pages
...To Find the Volume of a Frustrum of a Pyramid or of a Cone. RULE. — To the areas of the two ends add the square root of their product; multiply the sum by the height ofthefruslrum, and divide the product by 3. Volume of f rustrum of right cone = \f(ri + r,') + sM»?...
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The Model Practical Arithmetic

Edward Gideon - 1902 - 272 pages
...Find the Volume of the Frustum of a Pyramid or a Cone. RUM.—To the sum of the areas of both bases, add the square root of their .product, multiply the sum by the altitude, and divide by 3. Find the volume of the frustum 15. Of a cone, the altitude being 20 ft.,...
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Hodgson's Estimator and Contractor's Guide for Pricing Builder's Work ...

Frederick Thomas Hodgson - Architecture, Domestic - 1904 - 370 pages
...25-f-3= 8J 7200 300 7500=solidity. Problem VI. — To find the solidity of the 'frustum of a pyramid. Rule. — To the areas of the two ends of the frustum, add the square root of their product; and this sum, multiplied by \ of the perpendicular height, will give the solid contents. NOTE. —...
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Modern Sheet-metal Workers' Instructor: Practical Geometry, Mensuration ...

Joseph H. Rose - Sheet-metal work - 1906 - 340 pages
...f" I — D I ig. 66. To find the cubic contents of the frustum of a cone — Fig. 68. To the sum of the areas of the two ends of the frustum, add the square root of the product of the diameters of the two ends, this result multiplied by one-third of the perpendicular...
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