## The Essentials of Geometry (solid) |

### From inside the book

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Page 285

... Find the volume , and the area of the entire surface of a cube whose edge is 34 in . 7.

... Find the volume , and the area of the entire surface of a cube whose edge is 34 in . 7.

**Find the area**of the entire surface of a rectangular parallelo- piped , the dimensions of whose base are 11 and 13 , and volume 858 . 8. Find the ... Page 287

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**area**ABCD × AE ( § 497 ) =**area**ABC × AE . ( § 108 ) EXERCISES . 12.**Find**the lateral**area**and volume of a regular triangular prism , each side of whose base is 5 , and whose altitude is 8 . 13. The square of a diagonal of a rectangular ... Page 288

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**Find**the lateral**area**and volume of a regular hexagonal prism , each side of whose base is 3 , and whose altitude is 9 . PYRAMIDS . DEFINITIONS . 502. A pyramid is a polyedron 288 SOLID GEOMETRY . -BOOK VII . Page 289

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**areas**of the lateral faces is called the lateral**area**. The altitude is the perpendicular distance from the vertex ...**Find**the length of the diagonal of a rectangular parallelopiped whose dimensions are 8 , 9 , and 12 . 16. The ... Page 292

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**Find the area**of its entire surface in square inches . 18. The volume of a right prism is 2310 , and its base is a right triangle whose legs are 20 and 21 , respectively . Find its lateral area . 19. Find the lateral area and volume ...### Other editions - View all

### Common terms and phrases

ABCD Algebra altitude approaches the limit area ABC axis bisecting centre cents circle circular cone circular cylinder circumference circumscribed cone of revolution conical surface convex polyedron cube cylinder of revolution diameter diedral angle distance Draw lines entire surface equal parts occur equal spheres equally distant Find the area Find the volume frustum Geometry Given line given point homologous inscribed intersection lateral area lateral edges lateral faces lateral surface line drawn lune O-ABC parallel planes perimeter perpendicular plane determined Plane Geometry plane MN pole polyedral angle proof is left PROP Prove pupil radii radius rectangular parallelopiped regular polygon respectively sector sides slant height solid Solid Geometry spherical angle spherical polygon spherical pyramid spherical triangle straight line tangent tetraedron THEOREM total surface tri-rectangular triangular prism triedral vertex vertices Wells's Whence