 | Henry Beadman Bryant, Emerson Elbridge White, Corydon Giles Stowell - 1872 - 576 σελίδες
...areas of similar figures are to each other as the squares of their corresponding linear dimensions, and the volumes of similar solids are to each other as the cubes of their corresponding linear dimensions. 7-'/. Triangles. — 1. A. right-angled triangle \\UB two... | |
 | Joseph Ray - 1856 - 400 σελίδες
...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 like dimensions.... | |
 | Daniel W. Fish - 1874 - 526 σελίδες
...height are to each other as 3, 4, and 5. What are the dimensions of the pile ? SIMILAR SOLIDS. 935. Similar Solids are such as have the same form, and...each other as the cubes of their like dimensions. Í. If the volume of a ball 3 inches in diameter is 27 cu. in., what is the volume of a ball 7 inches... | |
 | Daniel W. Fish - 1874 - 302 σελίδες
...height are to each other aa 3, 4, and 5. What are the dimensions of the pile ? SIMILAR SOLIDS. 935. Similar Solids are such as have the same form, and...1. The volumes of similar solids are to each other a» the cubes of their like dimensions. 1. If the volume of a cube 3 inches on each side is 27 cu.... | |
 | Daniel W. Fish - 1874 - 538 σελίδες
...height are to each other as 3, 4, and 5. What are the dimensions of the pile ? SIMILAR SOLIDS. 035. Similar Solids are such as have the same form, and...1. The volumes of similar solids are to each other at the cubes of their like dimensions. 1. If the volume of a cube 3 inches on each side is 27 cu. in.,... | |
 | Daniel W. Fish - 1874 - 540 σελίδες
...Solids are 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 7 inches... | |
 | Philotus Dean - 1874 - 472 σελίδες
...12. = .86+. = .94+. 14. f 6i =1.84+. 15. ^5i = 16. 17. 18. APPLICATIONS OF THE CUBE ROOT. Ai't. 443. The volumes of similar solids are to each other as the cubes of their corresponding linear dimensions. COROLLARY. The corresponding linear dimensions of similar... | |
 | Horatio Nelson Robinson - 1874 - 490 σελίδες
...another containing 17 A. 110 P. ? Ans. $167.70. NOTE. — It is proved in Geometry that all «imilar 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 of a... | |
 | James Bates Thomson - 1875 - 392 σελίδες
...same number ol similar polygons, and all their solid angles are equal each to each. 555. The contents of similar solids are to each other as the cubes of their like dimensions; and, Conversely, the like dimensions of similar solids are as the cube roots of their contents. 1.... | |
 | Lorenzo Fairbanks - 1875 - 472 σελίδες
...contains 6 times as many cubic inches as a globe 6 inches in diameter. NOTE. — The volumes of all similar solids are to each other as the cubes of their like dimensions. MISCELLANEOUS EXAMPLES. 1. A board, in the form of an isosceles triangle, is 14 feet long, and 2 feet... | |
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The volumes of similar solids are to each other as the cubes of their like dimensions. 
