 | John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...inclination of Q is straightened up, producing a rectangular parallelopiped R. PROPOSITION XII. THEOREM 605. The volume of a triangular prism is equal to the product of its base and altitude. HG Let ABC-F be a triangular prism, with base of area B and altitude H. Let its volume be denoted by... | |
 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...equal altitudes are equal. Similarly FGHK= ABCD, and .-. LMNP = ABCD. PROPOSITION X. THEOREM 552. Tlie volume of a triangular prism is equal to the product of its base and altitude. Hypothesis. C'-ABC is a triangular prism. Length of altitude AE = H ; area of A ABC = B ; volume of... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 pages
...§ 515, 3. Hyp. Why? §547. § 546. Ax. 9. QED SOLID GEOMETRY. BOOK VII PROPOSITION X. THEOREM 549. The volume of a triangular prism is equal to the product of its base and its altitude. Given the triangular prism PQR-M, with its volume denoted by F^ area of base by b, and... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...127 cu. in. when its edge is increased 1 in. Why? §562 Why? Why? §154 SOLID GEOMETRY 684. Theorem. The volume of a triangular prism is equal to the product of its base and altitude. V = Bh. Given the triangular prism A'-ACD. To prove V = Bh, where V denotes volume, B area of base,... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...8. and Z DAB = 30°. Find the volume of the triangular prism A'.ABD. PROPOSITION XIII. THEOREM 600. The volume of a triangular prism is equal to the product of its base by its altitude. Given v denoting the volume, B the base, and H the altitude of the triangular... | |
 | William Henry Searles, Howard Chapin Ives - Railroad engineering - 1919 - 808 pages
...half sum of the depths; multiply the sum by the length in feet, and divide by 600. TABLE XXXI. — The volume of a triangular prism is equal to the product of the area of the base and the altitude. This, in cubic yards, for a length of 50 feet, is expressed... | |
 | Charles Austin Hobbs - Geometry, Solid - 1921 - 216 pages
...equal to the product of its base and altitude, Consult Prop. 252 and Prop. 256. Proposition 258 Theorem The volume of a triangular prism is equal to the product of its base and altitude. Hypothesis. Let V denote the volume, B the base, and h the altitude of the triangular prism ACD-E.... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Solid - 1922 - 216 pages
...which are given equal must include among them a base of each prism. Theorem 3 484. The volume of any prism is equal to the product of its base and altitude. Given any prism P, with base B and altitude a. To prove that volume P = B . a. Proof. Let K be a rectangular... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...the solid equals 10 in., find the volume of triangular prism A'-ABD. PROPOSITION XIII. THEOREM 600. The volume of a triangular prism is equal to the product of its base by its altitude. Given F denoting the volume, B the base, and H the altitude of the triangular... | |
 | 562 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 (i) the prism is half of a parallelepiped of the same height and with a parallelogram... | |
| |
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'. 
