 | Education - 1912 - 942 pages
...diagonally opposite edges of a parallelepiped divides it into two equal triangular prisms. Corollary I. The volume of a triangular prism is equal to the product of its base and altitude. Corollary 2. The volume of any prism is equal to the product of its base and altitude. Corollary 3.... | |
 | Elmer Adelbert Lyman - Arithmetic - 1905 - 268 pages
...of the parallelopiped. But the base of the parallelopiped is twice the base of the prism, therefore, the volume of a triangular prism is equal to the product of its altitude and the area of its base. 200. Since any prism can be divided into triangular prisms, as in... | |
 | William Chauvenet - 1905 - 336 pages
...parallelopiped having an equivalent base and the same altitude (30). PROPOSITION XII.—THEOREM. 34. The volume of a triangular prism is equal to the product of its base by its altitude. Let ABC-A' be a triangular prism. In the plane of the base complete the parallelogram... | |
 | Elmer Adelbert Lyman - Arithmetic - 1905 - 270 pages
...of the parallelepiped. But the base of the parallelepiped is twice the base of the prism, therefore, the volume of a triangular prism is equal to the product of ils altitude and the area of its base. 200. Since any prism can be divided into triangular prisms,... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...Substituting P for P", and B for B", we have the volume of P = B x H. PROPOSITION XII. THEOREM 637 The volume of a triangular prism is equal to the product of its base by its altitude. HYPOTHESIS. CDE-D' is any triangular prism whose volume is V, base B, and altitude... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...for B", we have \_ the volume of P = B x H. SOLID GEOMETRY — BOOK VII PROPOSITION XII. THEOREM 637 The volume of a triangular prism is equal to the product of its base by its altitude. C'' HYPOTHESIS. CDE-D' is any triangular prism whose volume is V, base B, and... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...parallelepipeds are to each other as the products of their bases by their altitudes (?). 602. THEOREM. The volume of a triangular prism is equal to the product of its base by its altitude. Given : Triangular prism ACD-F; base = B; alt. =h. To Prove: Volume of ACD-F... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...parallelopiped is bisected by this point. Is this true of any parallelopiped ? PROP. XII. THEOREM 442. The volume of a triangular prism is equal to the product of its base and altitude. ry Given AE the altitude of triangular prism ABC-C'. To Prove vol. ABC-C' = area ABC X AE. PROP. XIII.... | |
 | Euclid - Mathematics, Greek - 1908 - 576 pages
...pyramid is equal to a third of the product of its base by its height. He has previously proved that the volume of a triangular prism is equal to the product of its base and height, since (r) the prism is half of a parallelepiped of the same height and with a parallelogram... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...respectively, outside measure. Find the number of cubic inches of iron used, if the slant height is 20 ft. 16. The volume of a triangular prism is equal to the product of the area of a lateral face and one half of the perpendicular distance of that face from the opposite... | |
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The volume of a triangular prism is equal to the product of its base by its altitude. A~ Let V denote the volume, B the base, and H the altitude of the triangular prism CEA-E'. 
