Consider a square based pyramid with a height A and a base length I, as shown below. If we slice the pyramid horizontally and approximate each slice with a rectangular prism (as in the video) then the volume of the blue prism (below) is given by ÇAh . If such a prism sits at a height hy from the base of the pyramid, how can we write l4 in terms of h4 ?

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Consider a square based pyramid with a height k and a base length , as shown below. If we slice the pyramid horizontally and approximate each slice with a
rectangular prism (as in the video) then the volume of the blue prism (below) is given by Ah. If such a prism sits at a height hụ from the base of the pyramid, how can
we write l4 in terms of h; ?
k
li
hi
2
4
(k Ah)
Transcribed Image Text:Consider a square based pyramid with a height k and a base length , as shown below. If we slice the pyramid horizontally and approximate each slice with a rectangular prism (as in the video) then the volume of the blue prism (below) is given by Ah. If such a prism sits at a height hụ from the base of the pyramid, how can we write l4 in terms of h; ? k li hi 2 4 (k Ah)
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