| 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 prove that V... | |
| Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...base is a right triangle whose legs are 6 and 8 in., find the volume. o PROPOSITION XIII. THEOREM 628. The volume of any prism is equal to the product of its base by its altitude. L Given the prism AK, with its volume denoted by V, area of base by B, and altitude by H.... | |
| Fletcher Durell - Geometry - 1911 - 553 pages
...base is a right triangle whose legs are 6 and 8 in., find the volume. PROPOSITION XIII. THEOREM 828. The volume of any prism is equal to the product of its base by its altitude, L Given the prism AK, with its volume denoted by F, area of base by B, and altitude by //.... | |
| Charles Davison - Geometry, Solid - 1905 - 140 pages
...KC : KC', /. AABC : AAB'C' = AD : AN, .'. volume of prism = AAB'C' x AD - AABC x AN. 54. PROP. 40. The volume of any prism is equal to the product of its base and altitude. THE POLYHEDRON 65 Let ABC ... KK' be any prism, ABC ... K, A'B'C' ... K' its bases,... | |
| Education - 1912 - 914 pages
...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. Prisms of equal bases compare as their altitudes; of equal altitudes,... | |
| Education - 1912 - 942 pages
...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. Prisms of equal bases compare as their altitudes; of equal altitudes,... | |
| Elmer Adelbert Lyman - Arithmetic - 1905 - 268 pages
...base. 200. Since any prism can be divided into triangular prisms, as in the figure, it follows that the volume of any prism is equal to the product of its altitude and the .area of its base. 201. The Volume of a Cylinder. The cylinder may be divided into... | |
| Isaac Newton Failor - Geometry - 1906 - 440 pages
...parallelopiped is equal to the sum of the squares of its twelve edges. 318 PROPOSITION XIII. THEOREM 638 The volume of any prism is equal to the product of its base by its altitude. S', HYPOTHESIS. AC' is any prism whose volume is V, base B, and altitude H. CONCLUSION. V... | |
| Isaac Newton Failor - Geometry - 1906 - 431 pages
...parallelepiped is equal to the sum of the squares of its twelve edges. PROPOSITION XIII. THEOREM 638 The volume of any prism is equal to the product of its base by its altitude. HYPOTHESIS. AC' is any prism whose volume is V, base B, and altitude H. CONCLUSION. V = B... | |
| Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...volume, one whose edges are 5, 7, 9, or one whose edges are 4, 6, 13? SOLID GEOMETRY 603. THEOREM. The volume of any prism is equal to the product of its base by its altitude. Given : Prism AD ; base = B ; altitude = h. To Prove: Vol. of AD=Bh Proof : Through any lateral... | |
| |