 | Daniel W. Fish - 1874 - 526 σελίδες
...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. Í. If the volume of a ball 3 inches in diameter is 27 cu. in., what is the volume of a ball 7 inches... | |
 | Horatio Nelson Robinson - 1874 - 490 σελίδες
...another containing 17 A. 110 P. ? Ans. $167.70. NOTE. — It is proved in Geometry that all «imilar solids are to each other as the cubes of their like dimensions. Hence, any dimension may be found by proportion, when its ratio to the corresponding dimension of a... | |
 | Lorenzo Fairbanks - 1875 - 472 σελίδες
...which 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 - 1875 - 392 σελίδες
...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.... | |
 | Daniel W. Fish - 1876 - 302 σελίδες
...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 in diameter.... | |
 | 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... | |
 | Horatio Nelson Robinson - 1875 - 472 σελίδες
...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 in. in diameter?... | |
 | Joseph Ray - 1880 - 420 σελίδες
...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 times does... | |
 | Henry H. Hutton - 1882 - 178 σελίδες
...to the 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 600 pounds,... | |
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The volumes of similar solids are to each other as the cubes of their like dimensions. 
