 The volume of any prism is equal to the product of its base by its altitude. Let V denote the volume, B the base, and H the altitude of the prism DA'.  Elements of Geometry - Page 242by Andrew Wheeler Phillips, Irving Fisher - 1897 - 354 pagesFull view - About this book
 | Harvard University - Geometry - 1899 - 39 pages
...X. The volume of a triangular prism is equal to the product of its base and its altitude. Corollary. The volume of any prism is equal to the product of its base and its altitude. THEOREM XI. If a pyramid is cut by a plane parallel to its base, 1st, the edges and the... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...AC, AD of the base, divide the given prism into triangular prisms that have the common altitude H. The volume of each triangular prism is equal to the product of its base by its altitude (§ 627); and hence the sum of the volumes of the triangular prisms is equal to... | |
 | George Albert Wentworth - Geometry - 1899 - 498 pages
...sum of the squares of the twelve edges. PRISMS AND PARALLELOPIPEDS. PROPOSITION XIII. THEOREM. 628. The volume of any prism is equal to the product of its base by its altitude. D E Let V denote the volume, B the base, and H the altitude of the prism DA'.... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...sum of the squares of the twelve edges. PRISMS AND PAKALLELOPIPEDS. PROPOSITION XIII. THEOREM. 628. The volume of any prism is equal to the product of its base by its altitude. Let V denote the volume, B the base, and H the altitude of the prism DA'. To... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...area of A ABC, if the volume of ABC-H is 200 and the altitude is 20. PROPOSITION XIII. THEOREM 569. The volume of any prism is equal to the product of its base by its altitude. H Hyp. p* denotes the volume, B the base, and a the altitude of any prism. To... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...altitude h and the area of the base ABCK. (Prop. X.) 505-508] PRISMS AND PYRAMIDS 507. COROLLARY I. The volume of any prism is equal to the product of its altitude and the area of its base. Any prism can be divided into triangular prisms by passing planes... | |
 | Arthur Schultze - 1901 - 392 pages
...BH=5, Z ABC = 30°, and the projection of BH upon base ABC equals 4. PROPOSITION XIII. THEOREM 569. The volume of any prism is equal to the product of its base by its altitude. Hyp. F denotes the volume, B the base, and a the altitude of any prism. To prove... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...AC, AD of the base, divide the given prism into triangular prisms that have the common altitude H. The volume of each triangular prism is equal to the product of its base by its altitude (§ 627); and hence the sum of the volumes of the triangular prisms is equal to... | |
 | George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...parallelopiped is equal to the sum of the squares of the twelve edges. PROPOSITION XIII. THEOREM. 628. The volume of any prism is equal to the product of its base by its altitude. D E Let V denote the volume, B the base, and H the altitude of the prism DA'.... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...of the twelve edges. 304 PRISMS AND PARALLELOPIPEDS. PROPOSITION XIII. THEOREM. /, — • — 628. The volume of any prism is equal to the product of its base by its altitude. Let V denote the volume, B the base, and H the altitude of the prism DA'. To... | |
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