 | Franz Hocevar - 1903 - 106 pages
...3-sided pyramid whose base is B and whose altitude is h. r . , „ BA Hence for any pyramid V = — • The volume of any pyramid is equal to one-third of the product of Us base and altitude. For a second pyramid Vj = ' ' • J Hence V : Vt = B/& : B^, if h = A! then V... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...the base by JR, BOOK VIII. SOLID GEOMETRY PROPOSITION IX. THEOREM 722. The volume of a circular cone is equal to one-third of the product of its base by its altitude. Given a circular cone having its volume denoted by F, its base by B, and its altitude by... | |
 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...7t«2 /. T=nR BOOK VIII. SOLID GEOMETRY PROPOSITION IX. THEOREM 722. The volume of a circular cone is equal to one-third of the product of its base by its altitude. Given a circular cone having its volume denoted by V, its base by B, and its altitude by... | |
 | Charles Davison - Geometry, Solid - 1905 - 140 pages
...of a triangular pyramid is equal to one-third of the product of its base and altitude. 58. PROP. 44. The volume of any pyramid is equal to one-third of the product of its base and altitude. . ., SOLID GEOMETRY [CH. The pyramid may be divided into triangular pyramids of the same... | |
 | William Chauvenet - 1905 - 336 pages
...triangular pyramid is equal to onethird of the product of its base by its altitude. PROPOSITION XVIII. The volume of any pyramid is equal to one-third of the product >i A3 base by its altitude. PROPOSITION XIX. kfrfflstumof a triangular pyramid is equivalent to the... | |
 | David Sands Wright - Geometry - 1906 - 104 pages
...base of a regular square pyramid is 100, and its altitude is 4 ; find its entire surface. 38. Theorem. The volume of any pyramid is equal to one-third of the product of the area of its base by its altitude. Formula: V=\ AB. 1. Find the volume of a pyramid, base 20, altitude... | |
 | United States. Office of Education - 1911 - 1154 pages
...products of the edges including the equal trihedral angles. 5. Prove that the volume of a triangular pyramid is equal to one-third of the product of its base by its altitude. 6. Find the altitude of a triangular pyramid, every edge of which is 10 inches. Group III.... | |
 | Education - 1911 - 1030 pages
...products of the edges including the equal trihedral angles. 5. Prove that the volume of a triangular pyramid is equal to one-third of the product of its base by its altitude. 6. Find the altitude of a triangular pyramid, every edge of which is 10 Inches. GROUP III.... | |
 | Education - 1906 - 592 pages
...of the oblique prism, and whose altitude is equal to a lateral edge of the oblique prism. 3. Prove: The volume of any pyramid is equal to one-third of the product of its base and altitude. 5. Find the radius of a cylindrical pail 16 inches high, that will hold exactly 2 cubic... | |
 | 228 pages
...178 APPENDIX Mean of these four will give a good approximation to the Mean Height of the curve. 177. Volume of any pyramid is equal to one-third of the product of the base and the vertical height. Draw the perpendicular from V to ABCDE (Fig. 89) cutting the base... | |
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Corollary — The volume of any pyramid is equal to one-third of the product of its base by its altitude. For any pyramid... 
