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Mathematics problems in the second semester of senior two.
We assume that the base area of the original pyramid is S 1 and the height is h 1.

Then, after being cut by plane, the upper part of two connected geometries is still a pyramid. Let's assume that the height of the little golden pagoda is h2 and the bottom area is S2.

Then the shapes of the bottom figures of the two pyramids are similar.

Then s1/S2 = the square of h1/the square of H2.

The volume of the small pyramid is 1/3 * S2 * h2.

The volume of the Great Pyramid is 1/3 * S 1 * h 1.

Generally, the volume of a small pyramid is 2*S2*h2=S 1*h 1.

Bring the above ratio to h2= cube root (h 1/2).

That is to say, the ratio of h 1 to h2 is 2 under the cubic root.