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Cube Nets Worksheet

Cube Nets Worksheet
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2018-11-24 06:45
PolygonSolid GeometryGeometric Construction
This example demonstrates the nets of a cube and their folding into 3D shapes. Core math concepts include solid geometry, polygons, and spatial visualization. Constructed using GeoGebra commands like Point and Polygon, creating vertices and faces with objects such as A, C, D, B, and poly1. Suitable for middle school and above students learning 3D geometry or geometric constructions.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 1]) → C
  2. Polygon(A, C, D, B) → poly1, a, c, d, b
  3. Point(Circle[A_1, 1]) → C_1
  4. Polygon(A_1, C_1, D_1, B_1) → poly1_1, a_1, c_1, d_1, b_1
  5. Point(Circle[A_2, 1]) → C_2
  6. Polygon(A_2, C_2, D_2, B_2) → poly1_2, a_2, c_2, d_2, b_2
  7. Point(Circle[A_3, 1]) → C_3
  8. Polygon(A_3, C_3, D_3, B_3) → poly1_3, a_3, c_3, d_3, b_3
  9. Point(Circle[A_4, 1]) → C_4
  10. Polygon(A_4, C_4, D_4, B_4) → poly1_4, a_4, c_4, d_4, b_4
  11. Point(Circle[A_5, 1]) → C_5
  12. Polygon(A_5, C_5, D_5, B_5) → poly1_5, a_5, c_5, d_5, b_5
  13. Point(Circle[A_6, 1]) → C_6
  14. Polygon(A_6, C_6, D_6, B_6) → poly1_6, a_6, c_6, d_6, b_6
  15. Point(Circle[A_7, 1]) → C_7
  16. Polygon(A_7, C_7, D_7, B_7) → poly1_7, a_7, c_7, d_7, b_7
  17. Point(Circle[A_8, 1]) → C_8
  18. Polygon(A_8, C_8, D_8, B_8) → poly1_8, a_8, c_8, d_8, b_8
  19. Point(Circle[A_9, 1]) → C_9
  20. Polygon(A_9, C_9, D_9, B_9) → poly1_9, a_9, c_9, d_9, b_9
  21. Point(Circle[A_{10}, 1]) → C_{10}
  22. Polygon(A_{10}, C_{10}, D_{10}, B_{10}) → poly1_{10}, a_{10}, c_{10}, d_{10}, b_{10}
  23. Point(Circle[A_{11}, 1]) → C_{11}
  24. Polygon(A_{11}, C_{11}, D_{11}, B_{11}) → poly1_{11}, a_{11}, c_{11}, d_{11}, b_{11}
  25. Point(Circle[A_{12}, 1]) → C_{12}
  26. Polygon(A_{12}, C_{12}, D_{12}, B_{12}) → poly1_{12}, a_{12}, c_{12}, d_{12}, b_{12}
  27. Point(Circle[A_{13}, 1]) → C_{13}
  28. Polygon(A_{13}, C_{13}, D_{13}, B_{13}) → poly1_{13}, a_{13}, c_{13}, d_{13}, b_{13}
  29. Point(Circle[A_{14}, 1]) → C_{14}
  30. Polygon(A_{14}, C_{14}, D_{14}, B_{14}) → poly1_{14}, a_{14}, c_{14}, d_{14}, b_{14}
  31. Point(Circle[A_{15}, 1]) → C_{15}
  32. Polygon(A_{15}, C_{15}, D_{15}, B_{15}) → poly1_{15}, a_{15}, c_{15}, d_{15}, b_{15}
  33. Point(Circle[A_{16}, 1]) → C_{16}
  34. Polygon(A_{16}, C_{16}, D_{16}, B_{16}) → poly1_{16}, a_{16}, c_{16}, d_{16}, b_{16}
  35. Point(Circle[A_{17}, 1]) → C_{17}
  36. Polygon(A_{17}, C_{17}, D_{17}, B_{17}) → poly1_{17}, a_{17}, c_{17}, d_{17}, b_{17}
  37. Point(Circle[A_{18}, 1]) → C_{18}
  38. Polygon(A_{18}, C_{18}, D_{18}, B_{18}) → poly1_{18}, a_{18}, c_{18}, d_{18}, b_{18}
  39. Point(Circle[A_{19}, 1]) → C_{19}
  40. Polygon(A_{19}, C_{19}, D_{19}, B_{19}) → poly1_{19}, a_{19}, c_{19}, d_{19}, b_{19}
  41. Point(Circle[A_{20}, 1]) → C_{20}
  42. Polygon(A_{20}, C_{20}, D_{20}, B_{20}) → poly1_{20}, a_{20}, c_{20}, d_{20}, b_{20}
  43. Point(Circle[A_{21}, 1]) → C_{21}
  44. Polygon(A_{21}, C_{21}, D_{21}, B_{21}) → poly1_{21}, a_{21}, c_{21}, d_{21}, b_{21}
  45. Point(Circle[A_{22}, 1]) → C_{22}
  46. Polygon(A_{22}, C_{22}, D_{22}, B_{22}) → poly1_{22}, a_{22}, c_{22}, d_{22}, b_{22}
  47. Point(Circle[A_{23}, 1]) → C_{23}
  48. Polygon(A_{23}, C_{23}, D_{23}, B_{23}) → poly1_{23}, a_{23}, c_{23}, d_{23}, b_{23}
  49. Point(Circle[A_{24}, 1]) → C_{24}
  50. Polygon(A_{24}, C_{24}, D_{24}, B_{24}) → poly1_{24}, a_{24}, c_{24}, d_{24}, b_{24}
  51. Point(Circle[A_{25}, 1]) → C_{25}
  52. Polygon(A_{25}, C_{25}, D_{25}, B_{25}) → poly1_{25}, a_{25}, c_{25}, d_{25}, b_{25}
  53. Point(Circle[A_{26}, 1]) → C_{26}
  54. Polygon(A_{26}, C_{26}, D_{26}, B_{26}) → poly1_{26}, a_{26}, c_{26}, d_{26}, b_{26}
  55. Point(Circle[A_{27}, 1]) → C_{27}
  56. Polygon(A_{27}, C_{27}, D_{27}, B_{27}) → poly1_{27}, a_{27}, c_{27}, d_{27}, b_{27}
  57. Point(Circle[A_{28}, 1]) → C_{28}
  58. Polygon(A_{28}, C_{28}, D_{28}, B_{28}) → poly1_{28}, a_{28}, c_{28}, d_{28}, b_{28}
  59. Point(Circle[A_{29}, 1]) → C_{29}
  60. Polygon(A_{29}, C_{29}, D_{29}, B_{29}) → poly1_{29}, a_{29}, c_{29}, d_{29}, b_{29}
  61. Point(Circle[A_{30}, 1]) → C_{30}
  62. Polygon(A_{30}, C_{30}, D_{30}, B_{30}) → poly1_{30}, a_{30}, c_{30}, d_{30}, b_{30}
  63. Point(Circle[A_{31}, 1]) → C_{31}
  64. Polygon(A_{31}, C_{31}, D_{31}, B_{31}) → poly1_{31}, a_{31}, c_{31}, d_{31}, b_{31}
  65. Point(Circle[A_{32}, 1]) → C_{32}
  66. Polygon(A_{32}, C_{32}, D_{32}, B_{32}) → poly1_{32}, a_{32}, c_{32}, d_{32}, b_{32}
  67. Point(Circle[A_{33}, 1]) → C_{33}
  68. Polygon(A_{33}, C_{33}, D_{33}, B_{33}) → poly1_{33}, a_{33}, c_{33}, d_{33}, b_{33}
  69. Point(Circle[A_{34}, 1]) → C_{34}
  70. Polygon(A_{34}, C_{34}, D_{34}, B_{34}) → poly1_{34}, a_{34}, c_{34}, d_{34}, b_{34}
  71. Point(Circle[A_{35}, 1]) → C_{35}
  72. Polygon(A_{35}, C_{35}, D_{35}, B_{35}) → poly1_{35}, a_{35}, c_{35}, d_{35}, b_{35}
  73. Point(Circle[A_{36}, 1]) → C_{36}
  74. Polygon(A_{36}, C_{36}, D_{36}, B_{36}) → poly1_{36}, a_{36}, c_{36}, d_{36}, b_{36}
  75. Point(Circle[A_{37}, 1]) → C_{37}
  76. Polygon(A_{37}, C_{37}, D_{37}, B_{37}) → poly1_{37}, a_{37}, c_{37}, d_{37}, b_{37}
  77. Point(Circle[A_{38}, 1]) → C_{38}
  78. Polygon(A_{38}, C_{38}, D_{38}, B_{38}) → poly1_{38}, a_{38}, c_{38}, d_{38}, b_{38}
  79. Point(Circle[A_{39}, 1]) → C_{39}
  80. Polygon(A_{39}, C_{39}, D_{39}, B_{39}) → poly1_{39}, a_{39}, c_{39}, d_{39}, b_{39}
  81. Point(Circle[A_{40}, 1]) → C_{40}
  82. Polygon(A_{40}, C_{40}, D_{40}, B_{40}) → poly1_{40}, a_{40}, c_{40}, d_{40}, b_{40}
  83. Point(Circle[A_{41}, 1]) → C_{41}
  84. Polygon(A_{41}, C_{41}, D_{41}, B_{41}) → poly1_{41}, a_{41}, c_{41}, d_{41}, b_{41}
  85. Point(Circle[A_{42}, 1]) → C_{42}
  86. Polygon(A_{42}, C_{42}, D_{42}, B_{42}) → poly1_{42}, a_{42}, c_{42}, d_{42}, b_{42}
  87. Point(Circle[A_{43}, 1]) → C_{43}
  88. Polygon(A_{43}, C_{43}, D_{43}, B_{43}) → poly1_{43}, a_{43}, c_{43}, d_{43}, b_{43}
  89. Point(Circle[A_{44}, 1]) → C_{44}
  90. Polygon(A_{44}, C_{44}, D_{44}, B_{44}) → poly1_{44}, a_{44}, c_{44}, d_{44}, b_{44}
  91. Point(Circle[A_{45}, 1]) → C_{45}
  92. Polygon(A_{45}, C_{45}, D_{45}, B_{45}) → poly1_{45}, a_{45}, c_{45}, d_{45}, b_{45}
  93. Point(Circle[A_{46}, 1]) → C_{46}
  94. Polygon(A_{46}, C_{46}, D_{46}, B_{46}) → poly1_{46}, a_{46}, c_{46}, d_{46}, b_{46}
  95. Point(Circle[A_{47}, 1]) → C_{47}
  96. Polygon(A_{47}, C_{47}, D_{47}, B_{47}) → poly1_{47}, a_{47}, c_{47}, d_{47}, b_{47}
  97. Point(Circle[A_{48}, 1]) → C_{48}
  98. Polygon(A_{48}, C_{48}, D_{48}, B_{48}) → poly1_{48}, a_{48}, c_{48}, d_{48}, b_{48}
  99. Point(Circle[A_{49}, 1]) → C_{49}
  100. Polygon(A_{49}, C_{49}, D_{49}, B_{49}) → poly1_{49}, a_{49}, c_{49}, d_{49}, b_{49}
  101. Point(Circle[A_{50}, 1]) → C_{50}
  102. Polygon(A_{50}, C_{50}, D_{50}, B_{50}) → poly1_{50}, a_{50}, c_{50}, d_{50}, b_{50}
  103. Point(Circle[A_{51}, 1]) → C_{51}
  104. Polygon(A_{51}, C_{51}, D_{51}, B_{51}) → poly1_{51}, a_{51}, c_{51}, d_{51}, b_{51}
  105. Point(Circle[A_{52}, 1]) → C_{52}
  106. Polygon(A_{52}, C_{52}, D_{52}, B_{52}) → poly1_{52}, a_{52}, c_{52}, d_{52}, b_{52}
  107. Point(Circle[A_{53}, 1]) → C_{53}
  108. Polygon(A_{53}, C_{53}, D_{53}, B_{53}) → poly1_{53}, a_{53}, c_{53}, d_{53}, b_{53}
  109. Point(Circle[A_{54}, 1]) → C_{54}
  110. Point(Circle[A_{55}, 1]) → C_{55}
  111. Point(Circle[A_{56}, 1]) → C_{56}
  112. Point(Circle[A_{57}, 1]) → C_{57}
  113. Point(Circle[A_{58}, 1]) → C_{58}
  114. Point(Circle[A_{59}, 1]) → C_{59}
  115. Point(Circle[A_{60}, 1]) → C_{60}
  116. Polygon(A_{60}, C_{60}, D_{60}, B_{60}) → poly1_{60}, a_{60}, c_{60}, d_{60}, b_{60}
  117. Point(Circle[A_{61}, 1]) → C_{61}
  118. Polygon(A_{61}, C_{61}, D_{61}, B_{61}) → poly1_{61}, a_{61}, c_{61}, d_{61}, b_{61}
  119. Point(Circle[A_{62}, 1]) → C_{62}
  120. Polygon(A_{62}, C_{62}, D_{62}, B_{62}) → poly1_{62}, a_{62}, c_{62}, d_{62}, b_{62}
  121. Point(Circle[A_{63}, 1]) → C_{63}
  122. Polygon(A_{63}, C_{63}, D_{63}, B_{63}) → poly1_{63}, a_{63}, c_{63}, d_{63}, b_{63}
  123. Point(Circle[A_{64}, 1]) → C_{64}
  124. Polygon(A_{64}, C_{64}, D_{64}, B_{64}) → poly1_{64}, a_{64}, c_{64}, d_{64}, b_{64}
  125. Point(Circle[A_{65}, 1]) → C_{65}
  126. Polygon(A_{65}, C_{65}, D_{65}, B_{65}) → poly1_{65}, a_{65}, c_{65}, d_{65}, b_{65}
  127. Point(Circle[A_{66}, 1]) → C_{66}
  128. Polygon(A_{66}, C_{66}, D_{66}, B_{66}) → poly1_{66}, a_{66}, c_{66}, d_{66}, b_{66}
  129. Point(Circle[A_{67}, 1]) → C_{67}
  130. Polygon(A_{67}, C_{67}, D_{67}, B_{67}) → poly1_{67}, a_{67}, c_{67}, d_{67}, b_{67}
  131. Point(Circle[A_{68}, 1]) → C_{68}
  132. Polygon(A_{68}, C_{68}, D_{68}, B_{68}) → poly1_{68}, a_{68}, c_{68}, d_{68}, b_{68}
  133. Point(Circle[A_{69}, 1]) → C_{69}
  134. Polygon(A_{69}, C_{69}, D_{69}, B_{69}) → poly1_{69}, a_{69}, c_{69}, d_{69}, b_{69}
  135. Point(Circle[A_{70}, 1]) → C_{70}
  136. Polygon(A_{70}, C_{70}, D_{70}, B_{70}) → poly1_{70}, a_{70}, c_{70}, d_{70}, b_{70}
  137. Point(Circle[A_{71}, 1]) → C_{71}
  138. Polygon(A_{71}, C_{71}, D_{71}, B_{71}) → poly1_{71}, a_{71}, c_{71}, d_{71}, b_{71}

AI Drawing Prompt Reference

Draw the net of a cube consisting of multiple connected polygons, showing how they fold into a 3D cube. Start by plotting a central point, then draw several equal-sized squares around it, each sharing edges with adjacent squares to form a mesh-like structure. Finally, fold this mesh into a solid cube, highlighting geometric construction and spatial visualization.
The prompt above was compiled from the original drawing commands and is for reference only.