The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages. 
Home Applications of the Integral Infinite Sum Theorem Examples Example 1: Pyramid  
Search the VIAS Library  Index  
Example 1: Pyramid
Find the volume of a pyramid of height h whose base has area B, as in Figure 6.1.7. Figure 6.1.7: Example 1 Place the pyramid on its side with the apex at x = 0 and the base at x = h. We use the fact that at any point x between 0 and h, the cross section has area proportional to x^{2}, so that The volume is then The solution is V = (⅓)Bh.


Home Applications of the Integral Infinite Sum Theorem Examples Example 1: Pyramid 