 | Silas Lawrence Loomis - Arithmetic - 1859 - 324 pages
...result. By the short method, 125. 8464 3 253112 2208 64 2208 SECTION IV. MENSURATION OF SOLIDS. All similar solids are to each other as the cubes of their like dimensions. PROB. CXXX. — To FIND A SIDE OF A CUBE. RULE. — Er/rac/ the cube root of its contents.... | |
 | Horatio Nelson Robinson - Arithmetic - 1860 - 444 pages
...inclose another containing 17 A. HOP.? Ans. $167.70. NOTE 1. — It is proved in Geometry that all similar 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... | |
 | Dana Pond Colburn - Arithmetic - 1860 - 388 pages
...each other as the cubes of their radii or diameters. * See foot note, page 343. (n ) The solidiiios of similar solids are to each other as the cubes of their like dimensions. (p.) The solidity of a prism equals the area of its base multiplied by its altitude. (q.)... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...given in the table-, and the sum will be the logarithm of the surface. Again, since the volumes of similar solids are to each other as the cubes of their like dimensions, we may find the volume of any regular polyedron by this EULE. Multiply the cube of one... | |
 | John Fair Stoddard - Arithmetic - 1888 - 480 pages
...19. VT4TVg j = ? Ans. ±%. 21. V34g I = ? Ans. 3|. It is a truth established by geometry, that 430* Similar solids are to each other as the cubes of their like dimensions. Hence, like dimensions of similar solids are to each other as the cube roots of their solidities.... | |
 | John Fair Stoddard - Arithmetic - 1868 - 428 pages
...3/15252992 — - VFTO — TOSISTT— 48 21. Ans. It is a truth established by geometry, that 4:30. Similar solids are to each other as the cubes of their like dimensions. Hence, like dimensions of similar solids are to each other as the cube roots of their solidities.... | |
 | Anthony Nesbit - 1870 - 578 pages
...they are inscribed, or as the squares of the diameters of those circles (Em. iv. 36). THEOREM XX. All similar solids are to each other as the cubes of their like dimensions (Em. vi. 24). PART II. A DESCRIPTION' OP THE CHAIN, CROSS-STAFF, OFFSET-STAFF, COMPASS,... | |
 | William Kennedy Maxwell - 1871 - 148 pages
...1-2990381, the radius of the segment's base -T therefore, 1-2990381 x 2 = 2-5980762, the diameter. Again, similar solids are to each other as the cubes of their like dimensions. Hence, as 2-59807622 : 20" : : Ï 7-537014196730235810728 of the bowl. the Finally, each... | |
 | Joseph Ray - 1856 - 400 pages
...5. The sq. in. in all the faces of a cube containing 8365427 cu. in. Ans. 247254. ART. 405. Any two similar solids are to each other as the cubes of their like dimensions ; hence, 1st. The ratio of two similar solids is equal to the cube of the ratio of any two... | |
 | Daniel W. Fish - Arithmetic - 1874 - 540 pages
...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 cube 3 inches on each side is 27 cu. in., what is the volume of one... | |
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The volumes of similar solids are to each other as the cubes of their like dimensions. 
