http://www.ck12.org Chapter 5. Applications of Definite Integrals
Figure 7a
Figure 7b
Solution:
Let they−axis pass through the apex of the pyramid, as shown in Figure (7a). At any pointyin the interval[ 0 ,h],
the cross-sectional area is a square. Ifbis the length of the sides of any arbitrary square, then, by similar triangles
(Figure 7b),