 | J. R. Bevis - 1896 - 174 σελίδες
...planes are to each other as the squares of their like dimensions, can you prove that the solidities of similar solids are to each other as the cubes of their like dimensions ? 2. The weight of a cubic foot of water is 62 pounds: what is the weight of a similar body of water... | |
 | Edwin Crawford Hewett - 1897 - 376 σελίδες
...circumference is 18 in. 287. Similar Solids. 1. Similar solids are such as have the same shape. 2. The volumes of similar solids are to each other as the cubes of their like dimensions. EXERCISES. 288. 1. The sides of two cubes are to each other as 3 to 5. If the smaller one contains... | |
 | James Bates Thomson - 1899 - 344 σελίδες
...are similar, when their bases are similar polygons, and their altitudes proportional. 6. Polyhedrons (ie, solids included by any number of plane faces) are similar, when they are contained by the sume number of similar polygunnt and all their solid angles are equal each to each. . 628. PRINCIPLES.... | |
 | James Morgan Rawlins - 1899 - 458 σελίδες
...value of a similar piece of land having twice the length and breadth ? , Similar Solids. 1. The volumes of similar solids are to each other as the cubes of their like dimensions. PROBLEMS. 1. Of two spheres, one is 1000 times the size of the other. If the diameter of the smaller... | |
 | Floyd Davis - 1900 - 148 σελίδες
...904.780 cubic 6 inches. Q. 112. What is the relation of the volumes of similar solids? A. The volumes of similar solids are to each other as the cubes of their like dimensions. Q. 113. What are the relative volumes of two spheres whose respective diameters are 5 and 8 inches?... | |
 | 1901 - 960 σελίδες
...original stack, and its volume would be to the volume of the original stack as i :2. But the volumes of similar solids are to each other as the cubes of their like dimensions. Then calling the height of the part removed h, we have, h':i8"::i:2. Hence h = 14.28+ ft., height of... | |
 | Eugene L. Dubbs - 1901 - 462 σελίδες
...solids are those having the same form, but differing in size, as cubes, spheres, etc. PROPOSITION. Similar solids are to each other as the cubes of their like dimensions. PRINCIPLE I. The ratio of the solid contents of two similar solids is equal to the cube of the ratio... | |
 | Samuel Wesley Baird - 1901 - 388 σελίδες
...circumference. SIMILAR SOLIDS 740. The following principles of similar solids are derived from geometry: 1. Similar solids are to each other as the cubes of their like dimensions. 2. Like dimensions of similar solids are to each other as the cube roots of their contents. 1. A rectangular... | |
 | Alvord D. Robinson - 1902 - 572 σελίδες
...cu. in. of volume ; the 3 in. cube has 27 cu. in. of volume ; etc. From this the conclusion is that, Similar solids are to each other as the cubes of their like dimensions and. Corresponding dimensions of similar solids are to each other as the cube roots of their volumes.... | |
 | William Estabrook Chancellor - 1902 - 178 σελίδες
...658503. A. 48228544. I. 1076890625. APPLICATIONS OF CUBE ROOT Geometry shows that the volumes of all similar solids are to each other as the cubes of their like dimensions. Vol. of xyz : vol. of abc :: a? : a 3 or y^ : b s or z 3 : <?. The volumes of cubes are to each other... | |
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Contents of similar solids are to each other as the cubes of their like dimensions. 
