 | Frederic A. Adams - 1846 - 230 σελίδες
...larger cube be ? These examples may suggest the principle on which all similar solids are compared. Similar solids are to each other as the cubes of their corresponding dimensions. Take now the first of the above three examples ; the ratio of the corresponding dimensions is 2 : 1,... | |
 | James Robinson (of Boston.) - 1847 - 304 σελίδες
...square yards. What is the area of the greater ? COMPARISON OF SIMILAR SO M US Alt. 262. The contents of similar solids are to each other as the cubes of their corresponding dimensions. 65. There are 2 cubes ; the side of one of them is 2 inches, the side of the other is 4 inches. How... | |
 | Frederic A. Adams - 1847 - 238 σελίδες
...cube be ? These examples may suggest the principle on which all similar solids are compared. Kimilar solids are to each other as the cubes of their corresponding dimensions. Take now the first of the above three examples ; the ratio of the corresponding dimensions is 2 : 1,... | |
 | George Roberts Perkins - 1856 - 460 σελίδες
...similar solid, as given in the table, and the sum will be the logarithm of the surface. Again, since the volumes of similar solids are to each other as the cubes of their like dimensions, we may find the volume of any regular polyedron by this KULE. Multiply the... | |
 | George Roberts Perkins - 1860 - 472 σελίδες
...similar solid, as given in the table-, and the sum will be the logarithm of the surface. Again, since the volumes of similar solids are to each other as the cubes of their like dimensions, we may find the volume of any regular polyedron by this EULE. Multiply the... | |
 | Emerson Elbridge White - 1861 - 348 σελίδες
...areas of similar figures are to each other as the squares of their corresponding linear dimensions, and the volumes of similar solids are to each other as the cubes of their corresponding linear dimensions. TRIANG-LES. ART. 175- In computing the area of a triangle, either side may be assumed... | |
 | George Augustus Walton - 1864 - 376 σελίδες
...following proposition may be easily proved by geometry : — 473. The Solidities of Cubes, Spheres, and ail Similar Solids are to each other as the cubes of their corresponding dimensions. я ILL. Ex., I. How many globes of 6 inches diameter can be made from a globe of 48 inches diameter... | |
 | George Augustus Walton, Mrs. Electra Nobles Lincoln Walton - 1865 - 354 σελίδες
...proposition may be easily proved by geometry : — 47i3o The Solidities of Cubes, Spheres, and all Similar Solids are to each other as the cubes of their corresponding dimensions. ILL. Ex., I. How many globes of 6 inches diameter can be made from a globe of 48 inches diameter ?... | |
 | George Augustus Walton, Electa Nobles Lincoln Walton - 1869 - 350 σελίδες
...edge is 3 inches contains 21 cu. inches. In a similar manner it may be shown that The volumes of all similar solids are to each other as the cubes of their corresponding dimensions. EXAMPLES. 1. If the contents of a pyramid whose base is 10 inches are 5 cu. ft., what are the contents... | |
 | George Augustus Walton, Electa N. L. Walton - 1871 - 348 σελίδες
...edge is 3 inches contains 27 cu. inches. In a similar manner it may be shown that The relumes of all similar solids are to each other as the cubes of their corresponding dimensions. EXAMPLES. 1. If the contents of a pyramid whose base is 10 in. sq. are 5 en. ft., what are the contents... | |
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The volumes of similar solids are to each other as the cubes of their like dimensions. 
