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" The volumes of similar solids are to each other as the cubes of their like dimensions. "
Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ... - Page 38
by Nathan Scholfield - 1845
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A Practical Business Arithmetic ...

Lorenzo Fairbanks - 1875 - 472 pages
...contains 6 times as many cubic inches as a globe 6 inches in diameter. NOTE. — The volumes of all similar solids are to each other as the cubes of their like dimensions. MISCELLANEOUS EXAMPLES. 1. A board, in the form of an isosceles triangle, is 14 feet long,...
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New Practical Arithmetic: for Grammar Departments

James Bates Thomson - 1875 - 392 pages
...number ol similar polygons, and all their solid angles are equal each to each. 555. The contents of similar solids are to each other as the cubes of their like dimensions; and, Conversely, the like dimensions of similar solids are as the cube roots of their contents....
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The Complete Arithmetic, Oral and Written: Second Part

Daniel W. Fish - Arithmetic - 1876 - 302 pages
...as have the same form, and differ from each other only in volume. PRINCIPLES. — 1. The volumes of similar solids are to each other as the cubes of their like dimensions. 1. If the volume of a ball 3 inches in diameter is 27 cu. in., what is the volume of a...
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The Standard Arithmetic: For Schools of All Grades and for ..., Volume 2

James E. Ryan - Arithmetic - 1877 - 212 pages
...equal was sold for $34560, it being estimated at 1 cent per cubic inch. How high was the pile 1 422. Similar solids are to each other as the cubes of their like dimensions. Thus : A box 4 times as long as another of the same shape, will hold 64 times as much as...
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Course in Arithmetic: A Treatise in Three Parts, Complete in One Volume

Frederic William Bardwell - Arithmetic - 1878 - 416 pages
...whether two or more than two, must appear three times ; that is, must be cubed. Hence, the volumes of similar solids are to each other as the cubes of their like dimensions. All spheres are similar to each other; all cubes are similar to each o'ther ; and whatever...
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Ray's New Higher Arithmetic: A Revised Edition of the Higher Arithmetic

Joseph Ray - Arithmetic - 1880 - 420 pages
...of similar figures are to each other as the squares of their like dimensions. 4. The solidities of similar solids are to each other as the cubes of their like dimensions. EXERCISES IN EVOLUTION AND ITS APPLICATIONS. 1. One square is 12 J times another: how many...
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The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - Arithmetic - 1875 - 472 pages
...as have the same/orm, and differ from each other only in volume. PRINCIPLES. — 1. The volumes of similar solids are to each other as the cubes of their like dimensions. If the volume of a ball 3 in. in diameter is 27 cu. in., what is the volume of a ball 7...
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Intellectual and Practical Lightning Calculator: The Unity and Decimal System

John Alexander Henderson - Ready-reckoners - 1882 - 232 pages
...3.1416. The solidities of spheres are to each other as the cubes of their diameters. The solidities of similar solids are to each other as the cubes of their like dimensions. The solidity of a cylinder equals the product of the area of its base by its altitude....
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Complete Graded Arithmetic: Oral and Written : Upon the Inductive Method of ...

James Bates Thomson - Arithmetic - 1882 - 416 pages
...number of similar polygons, and all their solid angles are equal each to each. 758. The Contents of similar solids are to each other as the cubes of their like dimensions. Conversely, The Like Dimensions of similar solids are as the cube roots of their contents....
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Manual of Mensuration: For Common and High Schools

Henry H. Hutton - Measurement - 1882 - 178 pages
...base ; find the altitude of each part, the entire cone being 20 inches high. NOTE.—Remember that all similar solids are to each other as the cubes of their like dimensions. Proceed, therefore', by means of proportion. 56. If an ox, whose girth is 6 feet, weighs...
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