 | James Bates Thomson - 1882 - 416 σελίδες
...number of similar polygons, and all their solid angles are equal each to each. 758. The Contents of similar solids are to each other as the cubes of their like dimensions. Conversely, The Like Dimensions of similar solids are as the cube roots of their contents. 1. If a... | |
 | John Alexander Henderson - 1882 - 232 σελίδες
...3.1416. The solidities of spheres are to each other as the cubes of their diameters. The solidities of similar solids are to each other as the cubes of their like dimensions. The solidity of a cylinder equals the product of the area of its base by its altitude. The convex surface... | |
 | James Bates Thomson - 1884 - 344 σελίδες
...Dimensions of similar surfaces are to each other as the square roots of their areas. 8°. The Contents of similar solids are to each other as the cubes of their like dimensions. Conversely, 4°. The Like Dimensions of similar solids are as the cube roots of their contents. 1.... | |
 | 1886 - 712 σελίδες
...2960 =7280 cu. in., the top of the pyramid after one-half the solidity of the post has been taken off. Similar solids are to each other as the cubes of their like dimensions; hence. 10240 : 7280 ; ; (480)* : x. Solving the proportion and extracting the cube root, we have 428.402... | |
 | Henry Holmes Belfield - 1891 - 362 σελίδες
...is 20. 4. How many square miles on the surface of the earth, assuming the diameter to be 8000 miles. Similar solids are to each other as the cubes of their like dimensions. Thus, spheres are to each other as the cubes of their diameters or radii 5. How many balls 1 inch in... | |
 | William James Milne - 1892 - 440 σελίδες
...SIMILAR VOLUMES. The truth of the following principles can be shown by geometry : 467. PRINCIPLES. — 1. Similar solids are to each other as the cubes of their like dimensions. Hence, 1. If a globe 4 inches in diameter weighs 8 lb., what will be the diameter of a similar one... | |
 | John Kelley Ellwood - 1892 - 300 σελίδες
...and the next one, taken together, formed a cone whose volume was f of the loaf. Hence, observing that similar solids are to each other as the cubes of their like dimensions, we have the following proportions: 3:1 ::203: A3, whence ft = 20v/|=;jy>-v'9 = 13.86722 + inches, the... | |
 | Eugene L. Dubbs - 1893 - 238 σελίδες
...the like dimensions of two similar figures is equal to the square root of the ratio of their areas. Similar solids are to each other as the cubes of their like dimensions ; therefore, The ratio of two similar solids is equal to the cube of the ratio of their like dimensions... | |
 | Wm. M. Peck - 1894 - 310 σελίδες
...bushels will it hold? SIMILAR SOLIDS. Similar Solids are solids whose shapes are alike. I. The volumes of similar solids are to each other as the cubes of their like dimensions. Solve the following problems : 1. One sphere is 3 feet in diameter ; another sphere is 27 feet in diameter.... | |
 | 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... | |
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The volumes of similar solids are to each other as the cubes of their like dimensions. 
