 | 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 volumes.... | |
 | 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 to each other... | |
 | Joseph Ray - Arithmetic - 1903 - 366 pages
...of a sphere is 1 cu. ft. What is its diameter ? 14.9 in. nearly. Similar Solids 262. Similar 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... | |
 | John William Hopkins, Patrick Healy Underwood - Arithmetic - 1903 - 560 pages
...1152 cu. in. Find its height. 14. The surface of a sphere equals 1257 sq. in. Find its volume. 16. The volumes of similar solids are to each other as the cubes of their corresponding dimensions. How many times as large as the earth is the sun ? The diameter of... | |
 | Agriculture - 1903 - 758 pages
...be the volume of a similar prism if the length of a similarly placed line in it is 3 inches ? Since the volumes of similar solids are to each other as the cubes of their 21 X 27 similar lines, 2* : 3' :: 21 : .r; or, x = — — = 70.875 cubic o inches. 974. Returning... | |
 | Coal mines and mining - 1903 - 782 pages
...the squares of any line similarly placed in them, as, for example, a diagonal or diameter. Also, that the volumes of similar solids are to each other as the cubes of similarly placed lines in them. Likewise, if any two similar figures are varied according to some... | |
 | 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 16, and the... | |
 | 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,... | |
 | John William Hopkins - Arithmetic - 1907 - 376 pages
...height. 14. The surface of a sphere equals 1257 sq. in. Find its volume. ADVANCED BOOK OF ARITHMETIC 16. The volumes of similar solids are to each other as the cubes of their corresponding dimensions. How many times as large as the earth is the sun ? The diameter of... | |
 | Lorenzo Dow Harvey - Arithmetic - 1909 - 412 pages
...are equal. The 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 the area of... | |
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The volumes of similar solids are to each other as the cubes of their like dimensions. 
