 | Horatio Nelson Robinson - 1860 - 444 σελίδες
...much will it cost to 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 of a... | |
 | George Roberts Perkins - 1860 - 472 σελίδες
...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 of the edges... | |
 | Dana Pond Colburn - 1860 - 388 σελίδες
...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.) The solidity... | |
 | John Fair Stoddard - 1888 - 480 σελίδες
...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. 1.... | |
 | John Fair Stoddard - 1868 - 428 σελίδες
...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. 1.... | |
 | George Roberts Perkins - 1869 - 358 σελίδες
...is the cube root off? Ans. 0-8736, nearly. EXAMPLES INVOLVING THE PRINCIPLES OF THE CUSL' RCOT 13 G. It is an established theorem of geometry, that all similar solids are to each other as the cubes of their lik dimensions. 1. If a cannon-ball, 3 inches in diameter, weigh 8 pounds, what will a ball... | |
 | Anthony Nesbit - 1870 - 578 σελίδες
...which 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, AND FIELD-BOOK... | |
 | William Kennedy Maxwell - 1871 - 148 σελίδες
...4Q-8333, the square of its diameter. Hence, „/40-8333 = 6-39 feet diamt er required. Аю. 11. Now all similar solids are to each other as the cubes of their like dimensions. Hence, as 3 : 1 : : 202 : 2666-6, the cube of the height of the upper portion ; and ^/2666-6 = 13-8672,... | |
 | 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 - 540 σελίδες
...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 on each... | |
| |
The volumes of similar solids are to each other as the cubes of their like dimensions. 
