 | James Bates Thomson - 1875 - 392 σελίδες
...contained by the same 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. 1.... | |
 | Horatio Nelson Robinson - 1875 - 462 σελίδες
...such 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. If the volume of a ball 3 in. in diameter is 27 cu. in., what is the volume of a ball 7 in. in diameter?... | |
 | Horatio Nelson Robinson - 1875 - 486 σελίδες
...such as have the same/orw, 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 in. in diameter?... | |
 | Lorenzo Fairbanks - 1875 - 472 σελίδες
...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, and 2 feet... | |
 | James Bates Thomson - 1876 - 400 σελίδες
...their bases are similar polygons, and their altitudes proportional. 4. Poyhednms (ie, solids 1ncluded by any number of plane faces) are similar, when they are contained by the same numbtr ol similar polygons, and all their solid angles are equal each to each. 555. The contents of... | |
 | Daniel W. Fish - 1876 - 302 σελίδες
...such 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 ball 7 inches... | |
 | James E. Ryan - 1877 - 212 σελίδες
...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 that other.... | |
 | Frederic William Bardwell - 1878 - 416 σελίδες
...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 the form... | |
 | Joseph Ray - 1880 - 420 σελίδες
...areas 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. GENERAL EXERCISES m EVOLUTION AND ITS APPLICATIONS. 1. One square is 12 J times another: how many times... | |
 | Joseph Ray - 1880 - 420 σελίδες
...find the volume of a sphere : Rule.- — Multiply ike cube of the diameter by .5235987 NOTES. — 1. Similar solids are to each other as the cubes of their like dimensions. ^ 2. The sphere is regarded as composed of an infinite number of cones whose common altitude is the... | |
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Contents of similar solids are to each other as the cubes of their like dimensions. 
