Exploring Triangular Prism Volume

GeoGebra Commands & Parameters

1. Line((0, 0, triangleheight), (1, 0, triangleheight)) → f
2. Sphere(A, oneside) → a
3. Segment(B, A) → j
4. Intersect(f, a) → C, D
5. Polygon(A, C, B) → t1, b_1, a_1, c
6. Polygon(A, D, B) → t2, b_2, a_2, d
7. Segment(A, C) → g
8. Segment(C, B) → i
9. Line(A, (0, 1, 0)) → k
10. Line(B, (b, 1, 0)) → l
11. Sphere(B, prismheight) → m
12. Sphere(A, prismheight) → e
13. Intersect(k, e) → E, F
14. Intersect(l, m) → G, H
15. Line((x(C), y(C) + 1, z(C)), C) → n
16. Sphere(C, prismheight) → o
17. Intersect(n, o) → I, J
18. Polygon(H, F, I) → t3, i_1, h_1, f_1
19. Segment(H, F) → p
20. Segment(F, I) → q
21. Segment(I, H) → r
22. Line((x(D), y(D) + 1, z(D)), D) → t
23. Sphere(D, prismheight) → u
24. Intersect(t, u) → K, L
25. Polygon(A, F, I, C) → q1, a_3, f_2, i_2, c_1
26. Polygon(I, H, B, C) → q2, i_3, h_2, b_3, c_2
27. Polygon(A, B, H, F) → q3, a_4, b_4, h_3, f_3
28. Segment(C, I) → g_1
29. Segment(B, H) → j_1
30. Segment(A, F) → k_1
31. Polygon(A, B, D) → t4, d_2, a_5, b_5
32. Polygon(F, H, K) → t5, k_2, f_4, h_4
33. Polygon(A, F, K, D) → q4, a_6, f_5, k_3, d_3
34. Polygon(D, K, H, B) → q5, d_4, k_4, h_5, b_6
35. Segment(A, D) → l_1
36. Segment(D, B) → m_1
37. Segment(D, K) → n_1
38. Segment(K, F) → p_1
39. Segment(K, H) → q_1
40. Circle(((0.3 * j), 0, 0), ((-0.3 * j), 0, 0), (0, 0, (0.3 * j))) → r_1
41. Line(A, B) → s_1
42. OrthogonalLine(C, s_1, space) → t_1
43. OrthogonalLine(D, s_1, space) → g_2
44. Intersect(s_1, t_1) → M
45. Intersect(s_1, g_2) → N
46. Angle(A, M, C) → α
47. Angle(A, N, D) → β
48. Segment(C, M) → j_2
49. Segment(D, N) → l_2
50. Angle(B, A, D) → γ
51. Angle(B, A, C) → δ
52. Textfield(prismheight) → InputBox1
53. Textfield(b) → InputBox2
54. Textfield(triangleheight) → InputBox3
55. Textfield(oneside) → InputBox4