 | William Chauvenet - Geometry - 1871 - 380 pages
...a given straight line, which shall divide a given tetraedron into two equivalent solids. 353. Find the difference between the volume of the frustum of...frustum parallel to its bases and equidistant from them. The difference may be expressed in the form —(yB — yb) , if B and I are tho areas of the bases,... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...a given straight line, which shall divide a given tetraedron into two equivalent solids. 353. Find the difference between the volume of the frustum of...frustum parallel to its bases and equidistant from them. The difference may be expressed in the form — (^B — i/F) 2 , if B and i,M GEOMETRY.—BOOKS VIII... | |
 | David Munn - 1873 - 160 pages
...inches deep, be filled out of a cylindrical tumbler, 4 inches in diameter and j,\ inches deep? 10. Shew that the difference between the volume of the...frustum of a pyramid and the. volume of a prism of the same«altitude, whose base is a section of the frustum parallel to its bases, and equidistant from... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...feet in diameter, and whose slant height is 30 feet ; find its convex surface, and its volume. 8. Find the difference between the volume of the frustum of...frustum parallel to its bases and equidistant from them. 9. Given a stick of timber 32 feet long, 18 inches wide, 15 inches thick at one end, and 12 inches... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...slant height is 30 feet ; find its convex surface, and its volume. 8. Find the difference between tha volume of the frustum of a pyramid, and the volume...frustum parallel to its bases and equidistant from them. 9. Given a stick of timber 32 feet long, 18 inches wide, 15 inches thick at one end, and 12 inches... | |
 | George Albert Wentworth - 1879 - 196 pages
...convex surface, and its volume. Ans. Convex surface, 881.6+ sq.ft.; volume, 2289 cu. ft. Ex. 8. Find the difference between the volume of the frustum of...parallel to its bases, and equidistant from them. prism, and H the common altitude. Let Fand F' denote the volumes of the frustum and of the prism respectively.... | |
 | Edward Albert Bowser - Geometry - 1890 - 418 pages
...volume of the frustum of a regular quadrangular pyramid, the sides of whose bases are 4 and 3 feet, and the volume of a prism of the same altitude, whose...a section of the frustum parallel to its bases and midway between them. 62. Find the dimensions of a cube whose surface shall be numerically equal to... | |
 | Arthur Latham Baker - Geometry, Solid - 1893 - 150 pages
...between the volumes of the frustum of a square pyramid whose base edges are 8 and 6 feet respectively, and the volume of a prism of the same altitude whose base is a mid-section of the frustum ? 147. Find the volume V of the frustum of a cone of revolution whose slant... | |
 | George Albert Wentworth - Geometry - 1896 - 296 pages
...the frustum of a pyramid whose bases are squares, measuring 8 feet and 6 feet respectively on a side, and the volume of a prism of the same altitude whose...frustum parallel to its bases and equidistant from them. V- J h (B + £' + VB&) = \K (64 + 36 + 48) - JA x 148 - 49J h. F'-49A. Ex. 548. A Dutch windmill in... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...vertices less two. 8. The base of a pyramid is regular, if its faces are isosceles triangles. 9. Find the difference between the volume of the frustum of...frustum parallel to its bases and equidistant from them. EEGULAR POLYEDRONS. PROPOSITION XIV. THEOREM. 473. There can be only five regular convex polyedrons.... | |
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... respectively, on a side and the volume of a prism of the same altitude whose base is a section of the frustum parallel to its bases and equidistant from them. 
