Mensuration And Practical Geometry; Containing Tables of Weights And Measures, Vulgar And Decimal Fractions, Mensuration of Areas, Lines, Surfaces, And Solids ... to Which is Appended a Treatise On the Carpenter's Slide-Rule And Gauging

Cover Mensuration And Practical Geometry; Containing Tables of Weights And Measures, Vulgar And Decimal Fractions, Mensuration of Areas, Lines, Surfaces, And Solids ... to Which is Appended a Treatise On the Carpenter's Slide-Rule And Gauging
Mensuration And Practical Geometry; Containing Tables of Weights And Measures, Vulgar And Decimal Fractions, Mensuration of Areas, Lines, Surfaces, And Solids ... to Which is Appended a Treatise On the Carpenter's Slide-Rule And Gauging
Chas H Charles Haynes Haswell
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The height of a quadrangular pyramid is 67 feet, and the width of its base is 16.5 feet ; what are its contents in cubic feet? Ajis, 6080.25.
Ex. 3. What are the contents of a pentagonal pyramid, its height being 12 feet, and each of its sides 2 feet?
Ans, 27,528 feet.
Centre of Gravity. It is at a distance from the base J of the line joining the vertex and centre of gravity of the base.
To ascertain the Contents of the Frustrum of a Pyramid^ Fig. 91.
Rule. — Add together the squares of the sid
...es of the great- er and less ends and the product of these two sides ; multiply the sum by the tabular multiplier for areas in Table, p.- 60, and this product by the height; then, divide the last prod- uct by three, and the quotient will give the contents re- quired.
Or, {s^'\-8^'^+8Xs^)Xtah. mult, x-=zS, 8 and s^ representing o the lengths of the sides.
H 170 MENSUBA.TIOH OF SOLIDS.
Or, a+a^+'v/axa^XQ=S, a and of representing areas of o the ends.
Note. — ^When the areas of the ends are known, or can be obtained without reference to a tabular multiplier, use the following rule.


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