Volume of an Open Box

GeoGebra Commands & Parameters

1. Intersect(xAxis, yAxis) → A
2. Segment(B_{1}, A) → f
3. Segment(A, C_{1}) → g
4. Point(f) → D
5. Point(g) → B
6. Midpoint(D, C) → G
7. Midpoint(A, B) → H
8. Midpoint(D, A) → J
9. Segment(D, A) → j
10. Segment(D, G) → h
11. Segment(G, C) → i
12. Segment(C, B) → k
13. Point(h) → I
14. Circle(D, I) → c
15. Intersect(c, j, 1) → K
16. Mirror(I, G) → I'
17. Mirror(K, J) → K'
18. Midpoint(C, B) → M
19. Segment(J, M) → l
20. Mirror(I', l) → I''
21. Mirror(I, l) → I'_{1}
22. Mirror(L, l) → L'
23. Segment(G, H) → m
24. Mirror(L, m) → L'_{1}
25. Mirror(L', m) → L''
26. Mirror(K', m) → K''
27. Mirror(K, m) → K'_{1}
28. Segment(K, K'_{1}) → n
29. Segment(A, B) → p
30. Segment(K', K'') → q
31. Segment(I, I'_{1}) → r
32. Segment(I', I'') → s
33. Rotate(I'_{1}, (-α), q) → N
34. Rotate(I'', (-α), q) → I'''
35. Rotate(K, (-α), r) → K'_{2}
36. Rotate(K', (-α), r) → K''_{1}
37. Rotate(I, α, n) → I'_{2}
38. Rotate(I', α, n) → I''_{1}
39. Rotate(K'', α, s) → K'''
40. Rotate(K'_{1}, α, s) → O
41. Polygon(L, L', L'', L'_{1}) → q1, l_1, l', l'', l'_{1}
42. Polygon(I''', L'', L', N) → q2, i''', t, a, n_1
43. Polygon(K''_{1}, L', L, K'_{2}) → q3, k''_{1}, b, l_2, k'_{2}
44. Polygon(I'_{2}, L, L'_{1}, I''_{1}) → q4, i'_{2}, l_3, d, i''_{1}
45. Polygon(O, L'_{1}, L'', K''') → q5, o, e, f_1, k'''
46. Segment(K'_{1}, K'') → g_1
47. Segment(I', C) → h_1
48. Segment(C, K'_{1}) → i_1
49. Segment(G, I') → j_1
50. Segment(K'', B) → k_1
51. Segment(B, I'') → m_1
52. Segment(I'_{1}, I'') → p_1
53. Segment(D, K) → q_1
54. Segment(D, I) → r_1
55. Segment(K', A) → s_1
56. Segment(A, I'_{1}) → t_1
57. Segment(K, K') → a_1
58. Segment(I, G) → b_1
59. Segment(L'_{1}, K'_{1}) → c_1