 | Edwin Crawford Hewett - 1897 - 376 σελίδες
...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 Morgan Rawlins - 1899 - 458 σελίδες
...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?... | |
 | 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... | |
 | William Estabrook Chancellor - 1902 - 178 σελίδες
...d. 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... | |
 | 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.... | |
 | Joseph Ray - 1903 - 366 σελίδες
...solids have the same form and differ from each other only in volume. Principles. — I. The volumes of similar solids are to each other as the cubes of their like dimensions. II. The like dimensions of similar solids are to each other as the cube roots of their volumes. 1.... | |
 | David Sands Wright - 1906 - 104 σελίδες
...base, dividing the pyi-amid into two equivalent parts ; find the altitude of each part. /Suggestion : Similar solids are to each other as the cubes of their like dimensions. 7. The edge of the lower base of a square frustum is 20, the edge of the upper base is 16, and the... | |
 | Louis Phillipe McCarty - 1907 - 602 σελίδες
...dimensions. All similar areas or surfaces are to each other as the squares of their like dimen. sioni. All similar solids are to each other as the cubes of their like dimensions. PROPOSITIONS AND FOBMTJLAS. 1. The diameter (d) of a circle being given, required the circumference,... | |
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The volumes of similar solids are to each other as the cubes of their like dimensions. 
