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New High School Arithmetic; Academic, Industrial, Commercial

New High School Arithmetic; Academic, Industrial, Commercial


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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1919 Excerpt: ...of the pyramid multiplied by one of the sides of the base. When the areas of all the faces are added, there results the Rule.--The lateral area of a regular pyramid equals one half its slant height multiplied by the perimeter of its base. Example.--Find the lateral area of a regular pyramid having 8 faces, if one side of the base is 6 ft. and the slant height is 10 ft. Solution.--1. The perimeter of the base is 8 x 6 ft. or 48 ft. 2..-. the lateral area = J x 10 x 48 = 240 sq. ft. 134. A Frustum of a Pyramid is that part of a pyramid inclosed between the base and a plane parallel to the base. The base and the section of the plane parallel to the base are called the Bases of the frustum; the perpendicular between the bases is called the Altitude of the frustum. The lateral faces are bounded by trapezoids. If the frustum is the frustum of a regular pyramid, the altitudes of the lateral faces are all equal, and their common length is called the slant height of the frustum; as ////'. Note.--Only frustums of regular pyramids have a slant height. The line representing the slant height of a frustum of a regular pyramid joins the mid-points of the bases of the face on which it is drawn. 135. Finding the Lateral Area of a Frustum of a Regular Pyramid.--In the figure of 134, the area of trapezoid ABB'A' is one half its altitude multiplied by the sum of its bases; but this is one half the slant height of the frustum multiplied by the sum of one side of the lower base and one side of the upper base. When the areas of all the lateral faces are found in this manner and added, there results the Rule.--The lateral area of a frustum of a regular pyramid equals one half its slant height multiplied by the sum of the perimeters of its bases. 136. The following rules for...


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Product Details
  • ISBN-13: 9781130197075
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 72
  • Spine Width: 4 mm
  • Width: 189 mm
  • ISBN-10: 1130197077
  • Publisher Date: 01 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 145 gr


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