 | Floyd Davis - Mining engineering - 1900 - 148 pages
...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... | |
 | Samuel Wesley Baird - Arithmetic - 1901 - 388 pages
...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.... | |
 | Eugene L. Dubbs - Arithmetic - 1901 - 462 pages
...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... | |
 | William Estabrook Chancellor - Arithmetic - 1902 - 178 pages
...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... | |
 | Alvord D. Robinson - Arithmetic - 1902 - 572 pages
...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... | |
 | Joseph Ray - Arithmetic - 1903 - 366 pages
...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... | |
 | David Sands Wright - Geometry - 1906 - 104 pages
...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... | |
 | Louis Phillipe McCarty - Jīzah (Egypt) - 1907 - 602 pages
...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,... | |
 | Lorenzo Dow Harvey - Arithmetic - 1909 - 412 pages
...areas of similar surfaces are to each other as the squares of their like dimensions. The volumes of similar solids are to each other as the cubes of their like dimensions. PROBLEMS WRITTEN 239. 1. A triangle containing 90 sq. in. has a base of 12 in. What is... | |
 | George Soulé - Business mathematics - 1910 - 1042 pages
...often be saved by applying the following principles which have been demonstrated in geometry : That all similar solids are to each other as the cubes of their like dimensions. DEFINITIONS. 745. A Rectangular or i 746. A Pyramid is a Quadrilateral Solid is a nL solid... | |
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The volumes of similar solids are to each other as the cubes of their like dimensions. 
