Composite Volume Word Problems

GeoGebra Commands & Parameters

1. Shuffle(Sequence[5]) → randomList1, {1, 3, 4, 5, 2}
2. Element(randomList1, Mod[countQuestion, Length[randomList1]] + 1) → randomNum1
3. Shuffle(Sequence[1, Min[100 / randomNum1, randomNum1 + 5]]) → randomList2, {6, 1, 5, 2, 4, 3}
4. Element(randomList2, Mod[countQuestion, Length[randomList2]] + 1) → randomNum2
5. Shuffle(Sequence[1, Min[100 / ((randomNum1 * randomNum2)), randomNum1 + 5]]) → randomList4, {2, 5, 6, 4, 1, 3}
6. Shuffle(Sequence[1, Min[100 / randomNum1, randomNum1 + 5]] \ {randomNum2}) → randomList3, {2, 1, 5, 4, 3}
7. Element(randomList3, Mod[countQuestion, Length[randomList3]] + 1) → randomNum3
8. Element(randomList4, Mod[countQuestion, Length[randomList4]] + 1) → randomNum4
9. Shuffle(Sequence[1, Min[100 / ((randomNum1 * randomNum3)), randomNum1 + 5]] \ {randomNum4}) → randomList5, {1, 6, 3, 5, 4}
10. Textfield(input1) → InputBox1
11. Element(randomList5, Mod[countQuestion, Length[randomList5]] + 1) → randomNum5
12. Polygon(Zip[PixelsToPoint[Corner[1], Corner[3], Corner[5], A], A, {(pixelsLeft, pixelsTop), (pixelsLeft, y(Corner[5]) - pixelsBottom), Corner[5] - (pixelsRight, pixelsBottom), (x(Corner[5]) - pixelsRight, pixelsTop)}]) → borderBox
13. Corner(5) → layoutAppSize
14. Textfield() → InputBox2
15. Corner(5) → AppSize
16. Translate(hguideline, Vector[(Vector[Corner[4], Corner[1]] / 500 * 24)]) → hguideline'
17. Circle(A, 4) → c
18. Intersect(c, xAxis) → B, C
19. Segment(A, C) → f
20. Circle(A, modelWidth1) → d
21. Intersect(d, f, 1) → D
22. Circle(C, modelH2) → e
23. Intersect(e, eq1, 1) → E
24. Line(A, eq1) → g
25. Line(E, f) → h
26. Line(D, eq1) → i
27. Intersect(h, i) → F
28. Line(C, G) → j
29. Circle(C, modelL) → k
30. Intersect(k, j, 2) → H
31. Line(H, eq1) → l
32. Line(E, j) → m
33. Intersect(l, m) → I
34. Circle(A, modelH1) → p
35. Intersect(p, g, 1) → J
36. Line(F, m) → n
37. Line(I, f) → q
38. Intersect(n, q) → K
39. Line(J, f) → r
40. Intersect(i, r) → L
41. Polygon(F, E, I, K) → q1, f_1, e_1, i_1, k_1
42. Polygon(F, D, C, E) → q2, f_2, d_1, c_1, e_2
43. Polygon(C, H, I, E) → q3, c_2, h_1, i_2, e_3
44. Line(J, c_2) → s
45. Translate(L, Vector[C, H]) → L'
46. Translate(D, Vector[C, H]) → D'
47. Polygon({D, D', L', L}) → q4
48. Translate(L', Vector[D, A]) → L''
49. Polygon({J, L, L', L''}) → q5
50. Polygon({J, A, D, L}) → q6
51. Midpoint(A, D) → M
52. Midpoint(C, D) → N
53. Text(labelH2, Midpoint[h_1], true, true, 1, 1) → text4
54. Text(labelW1, M, true, true, -1, -1) → text2
55. Text(labelW2, N, true, true, -1, -1) → text3
56. Text(labelH1, Midpoint[A, J], true, true, -1, 0) → text5
57. Text(labelL, Midpoint[C, H], true, true, 1, -1) → text6
58. Circle(D, HintH1) → t
59. Intersect(t, i) → O, P
60. Line(O, h) → a
61. Intersect(a, g) → Q
62. Polygon(D, O, Q, A) → q1H, d_2, o, q_1, a_1
63. Translate(O, Vector[D, D']) → O'
64. Polygon(D, D', O', O) → q2H, d_3, d', o', o_1
65. Translate(q5, Vector[J, Q]) → q3H
66. Translate(D, (0, HintH2)) → D'_{1}
67. Translate(C, (0, HintH2)) → C'
68. Polygon(D, C, C', D'_{1}) → q4H, d_4, c_3, c', d'_{1}
69. Translate(H, (0, HintH2)) → H'
70. Polygon(C, H, H', C') → q5H, c_4, h_2, h', b
71. Translate(F, Vector[F, D'_{1}]) → F'
72. Translate(E, Vector[F, D'_{1}]) → E'
73. Translate(I, Vector[F, D'_{1}]) → I'
74. Translate(K, Vector[F, D'_{1}]) → K'
75. Polygon(F', E', I', K') → q6H, f', e', i', k'