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" A pyramid 15 ft. high has a base containing 169 sq. ft. At what distance from the vertex must a plane be passed parallel to the base so that the section may contain 100 sq.ft.? "
Wentworth & Hills's Exercise Manuals: Geometry - Page 6
by George Albert Wentworth - 1889
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Wentworth & Hill's Exercise Manuals: Geometry, Issue 3

George Albert Wentworth - 1884 - 264 pages
....base that the section may be a circle with a radius of 30 in. ? 3. If a right cone is 4 ft. high, at what distance from the vertex must a plane be passed parallel to the base, in order that the section may be equal to -j of the base? 4. If the slant height of a right cone is...
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Wentworth & Hill's Exercise Manuals, Issue 3

George Albert Wentworth - 1886 - 264 pages
...area of the section of the second pyramid. 2. A pyramid 15 ft. high has a base containing 169 D '^' sq. ft. At what distance from the vertex must a plane be V£ v passed parallel to the base so that the section may contain 100 sq. ft. ? ~r. 3. The base of...
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Exercise Manuals, Issue 3

George Albert Wentworth - 1889 - 276 pages
...from the vertex. 2. The radius of the base of a right cone is 40 in., and the height of the cone is 8 ft. At what distance from the vertex must a plane be passed parallel to the base that the section may be a circle with a radius of 30 in. ? 3. If a right cone is 4 ft. high, at what...
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The Elements of Plane and Solid Geometry: With Numerous Exercises

Edward Albert Bowser - Geometry - 1890 - 420 pages
...whose lateral edge is 5. 51. A pyramid 18 feet high has a base containing 169 square feet. How far from the vertex must a plane be passed parallel to the base so that the section may contain 81 square feet ? 52. The base of a pyramid contains 169 square feet; a plane parallel to the base and...
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The Elements of Solid Geometry: With Numerous Exercises

Arthur Latham Baker - Geometry, Solid - 1893 - 154 pages
...the cube of its edijr. V 52. A pyramid 22 feet high has a base containing 324 square feet. How far from the vertex must a plane be passed parallel to the base so that the section may contain 81 square feet ? PROPOSITION XII. THEOREM. . J The volume of any parallelopiped is equal to the product...
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Concrete Geometry by the Inductive Method ...

J. R. Bevis - Geometry - 1896 - 174 pages
...frustum of the spire C whose upper base is 4 ft. in diameter ? 3. The radius of a cone is 60 in. and 12 ft: at what distance from the vertex must a plane be passed parallel to the base to have a radius of 18 in. ? 4. A cone is 6 ft. high; the section made by a plane parallel to the base...
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Wentworth & Hill's Exercise Manuals: Geometry

George Albert Wentworth - 1898 - 264 pages
...PYRAMID. 1. Two pyramids standing on the same plane have the same height, and the areas of their hases are 120 sq. ft. and 180 sq. ft. respectively. A plane...ft. At what distance from the vertex must a plane he passed parallel to the base so that the section may contain 100 sq. ft. ? 3. The base of a pyramid...
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New Plane and Solid Geometry

Webster Wells - Geometry - 1908 - 336 pages
...volume. Ex. 36. A pyramid has a. triangular base whose area is 144 square feet ; its altitude is 14 feet. At what distance from the vertex must a plane be passed parallel to the base that the area of the section made by the plane may be 96 square feet ? Ex. 37. A frustum of a pyramid...
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New Plane Geometry

Webster Wells - Geometry - 1908 - 329 pages
...volume. Ex. 36. A pyramid has a triangular base whose area is 144 square feet ; its altitude is 14 feet. At what distance from the vertex must a plane be passed parallel to the base that the area of the section made by the plane may be 96 square feet ? Ex. 37. A frustum of a pyramid...
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Solid Geometry

Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - Geometry, Solid - 1912 - 216 pages
...depth of a cubical tank that will hold 100 gallons of water. Ex. 1619. The altitude of a pyramid is H. At what distance from the vertex must a plane be passed parallel to the base so that the part cut off is one half of the whole pyramid ? one third ? one nth ? Ex. 1620. Allowing 550 pounds...
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