| Elmer Adelbert Lyman - Arithmetic - 1905 - 270 pages
...weighs 1000 oz., find the edge of a cubical tank that will hold 2 T. 7. Show why the statement that the volume of a rectangular parallelepiped is equal to the product of its three dimensions is the same as the statement that its volume is equal to the product of its altitude and the area of... | |
| Education - 1912 - 914 pages
...Any two rectangular parallelepipeds compare as the products of their three dimensions. Corollary i. The volume of a rectangular parallelepiped is equal to the product of its base and altitude. Corollary 2. The volume of any parallelepiped is equal to the product of its base... | |
| Joseph Claudel - Mathematics - 1906 - 758 pages
...line (713). The area is expressed in units of surface one side of which is the unit of length. 887. The volume of a rectangular parallelepiped is equal to the product of its base and its altitude, or the product of its three dimensions (822). The volume of a cube is equal... | |
| Isaac Newton Failor - Geometry - 1906 - 431 pages
...b X c. QED 633 COROLLARY 1. The volume of a cube is equal to the cube of its edge. 634 COROLLARY 2. The volume of a rectangular parallelepiped is equal to the product of its base by its altitude. 635 SCHOLIUM. If the linear unit is an exact divisor of the three dimensions... | |
| Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...— L- U / I M / / ) /. i i ,d_ .If / / h / /=> / -m / / / i!>-i.; ^-y/ SOLID GEOMETRY 595. THEOREM. The volume of a rectangular parallelepiped is equal to the product of its base by its altitude. (See 59.4.) 596. COR. The volume of a cube is equal to the cube of its edge.... | |
| Webster Wells - Geometry - 1908 - 329 pages
...— BOOK VII PROP. X. THEOREM 437. If the unit of volume is the cube tuhose edge is the linear unit, the volume of a rectangular parallelepiped is equal to the product of its three dimensions. Given a, b, and c the dimensions of rect. parallelepiped P, and Q the unit of volume ; that is, a cube... | |
| Webster Wells - 1909 - 154 pages
...1. The total volume of the pile of lumber, including the air spaces, is 16 x 8 x 12 = 1536 cu. ft. (The volume of a rectangular parallelepiped is equal to the product of its three dimensions.) § 437. 2. The volume of the lumber without air spaces equals 1536 - J-4*4 = 1382.4 cu. ft. 3. Since... | |
| Eugene Randolph Smith - Geometry, Plane - 1909 - 424 pages
...are 2 ft. and 5 ft., what can you say about the area of the sections thus formed ? 495. Assuming that the volume of a rectangular parallelepiped is equal to the product of its base by its altitude, state in logical order, without proof, the theorems that lead to the volume of... | |
| George Albert Wentworth, George Wentworth - Geometry - 1912 - 602 pages
...pyramid = J x 180 (102 + 162 + VlO2 x 162) cu. ft. Ax. 9 = 60 x 516 cu. ft., or 30,960 cu. ft. Also the volume of a rectangular parallelepiped is equal to the product of its three dimensions. § 534 Therefore the volume of the given rectangular parallelepiped = 180 x 72 cu. ft., or 8820 cu.... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...surface and a line is meant the product of the measure.numbers of the surface and the line. 782. Cor. In. The volume of a rectangular parallelepiped is equal to the product of its base and its altitude. 783. Cor. IV. Any two rectangular parallelepipeds are to each other as the products... | |
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