A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...
Jeremiah Day
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Ans. 4000 lbs.
Digitized by LjOOQ IC 32 HENSURAtlOH OF SCHUDflL PROBLEM IL . Tojind the la'SSRAL surface ofh right prism.
47. Multiply the length into th^ perimetjsr op ^HE BASE.
Each of the ffdes of the prism is a right parallelogram, whose area is the product of its len^h and breadth. But the breadth is one side of the base | and therefore, the sum of the breadths is equal to the perimeter of the base.
E±. 1. If the base of a right prism be a regular hexagon whose sides are each 2 feet 3 inch
...es, and if the height be 16 feet, what is the lateral surface ? Ans. 216 square feet.
If the areas of the two ends be added to the lateral surface, the sum will be the whole surface of the prism. And the superficies of any solid bounded by planes, is evidently equal to the areas of all its sides.
Ex. 2. If the base of a prisiii be an equilateral triangle whose perimeter is 6 feet, and if tfie height be 17 feet, what is the surface ?
The area of the triangle is 1.732. (Art. 11.) And the whole surface is^ 105.464.


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