Lateral Surface Area of a Cuboid Self Assessment

Lateral Surface Area of a Cuboid Self Assessment
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2014-04-18 22:33
This example demonstrates the concept of the lateral surface area of a cuboid. It involves the geometric construction of a cuboid and uses GeoGebra commands such as TextField, Point, Segment, Line, etc., to help students understand how to calculate the lateral surface area. Suitable for self-assessment and learning for middle school and above students.

GeoGebra Commands & Parameters

  1. Textfield(l_1) → inputBox1
  2. Textfield(b_2) → inputBox2
  3. Textfield(h_1) → inputBox3
  4. Textfield(l_1) → inputBox1_1
  5. Textfield(b_2) → inputBox2_1
  6. Textfield(h_1) → inputBox3_1
  7. Textfield(l_1) → inputBox1_2
  8. Textfield(b_2) → inputBox2_2
  9. Textfield(h_1) → inputBox3_2
  10. Textfield(l_1) → inputBox1_3
  11. Textfield(b_2) → inputBox2_3
  12. Textfield(h_1) → inputBox3_3
  13. Point(Circle[A, abs(l_1)]) → B
  14. Segment(A, B) → l
  15. Point(Circle[B, abs(b_2)]) → C
  16. Segment(B, C) → b
  17. Line(C, l) → d
  18. Line(A, b) → e
  19. Intersect(e, d) → D
  20. Segment(D, C) → f
  21. Segment(D, A) → g
  22. OrthogonalLine(A, l) → i
  23. OrthogonalLine(B, l) → j
  24. OrthogonalLine(D, f) → k
  25. OrthogonalLine(C, f) → m
  26. Point(Circle[A, abs(h_1)]) → E
  27. Segment(A, E) → h
  28. Point(Circle[B, abs(h_1)]) → F
  29. Segment(B, F) → p
  30. Line(E, g) → q
  31. Line(E, l) → r
  32. Line(F, b) → s
  33. Intersect(m, s) → G
  34. Intersect(q, k) → H
  35. Segment(H, G) → t
  36. Segment(F, G) → a_1
  37. Segment(E, H) → b_1
  38. Segment(C, G) → c_1
  39. Segment(H, D) → d_1
  40. Segment(E, F) → e_1
  41. Textfield(l_1) → inputBox1_4
  42. Textfield(b_2) → inputBox2_4
  43. Textfield(h_1) → inputBox3_4
  44. Textfield(l_1) → inputBox1_5
  45. Textfield(b_2) → inputBox2_5
  46. Textfield(h_1) → inputBox3_5
  47. Textfield(l_1) → inputBox1_6
  48. Textfield(b_2) → inputBox2_6
  49. Textfield(h_1) → inputBox3_6
  50. Textfield(l_1) → inputBox1_7
  51. Textfield(b_2) → inputBox2_7
  52. Textfield(h_1) → inputBox3_7
  53. Point(Circle[A_1, abs(l_1)]) → B_1
  54. Segment(A_1, B_1) → l_2
  55. Point(Circle[B_1, abs(b_2)]) → C_1
  56. Segment(B_1, C_1) → b_3
  57. Line(C_1, l_2) → d_2
  58. Line(A_1, b_3) → e_2
  59. OrthogonalLine(A_1, l_2) → i_1
  60. OrthogonalLine(B_1, l_2) → j_1
  61. Point(Circle[A_1, abs(h_1)]) → E_1
  62. Segment(A_1, E_1) → h_2
  63. Line(E_1, l_2) → r_1
  64. Textfield(l_1) → inputBox1_8
  65. Textfield(b_2) → inputBox2_8
  66. Textfield(h_1) → inputBox3_8
  67. Textfield(l_1) → inputBox1_9
  68. Textfield(b_2) → inputBox2_9
  69. Textfield(h_1) → inputBox3_9
  70. Textfield(l_1) → inputBox1_{10}
  71. Textfield(b_2) → inputBox2_{10}
  72. Textfield(h_1) → inputBox3_{10}
  73. Textfield(l_1) → inputBox1_{11}
  74. Textfield(b_2) → inputBox2_{11}
  75. Textfield(h_1) → inputBox3_{11}
  76. Point(Circle[A_2, abs(l_1)]) → B_2
  77. Segment(A_2, B_2) → l_3
  78. Point(Circle[B_2, abs(b_2)]) → C_2
  79. Segment(B_2, C_2) → b_4
  80. Line(C_2, l_3) → d_3
  81. Line(A_2, b_4) → e_3
  82. OrthogonalLine(A_2, l_3) → i_2
  83. OrthogonalLine(B_2, l_3) → j_2
  84. Point(Circle[A_2, abs(h_1)]) → E_2
  85. Segment(A_2, E_2) → h_3
  86. Line(E_2, l_3) → r_2
  87. Textfield(l_1) → inputBox1_{12}
  88. Textfield(b_2) → inputBox2_{12}
  89. Textfield(h_1) → inputBox3_{12}
  90. Textfield(l_1) → inputBox1_{13}
  91. Textfield(b_2) → inputBox2_{13}
  92. Textfield(h_1) → inputBox3_{13}
  93. Textfield(l_1) → inputBox1_{14}
  94. Textfield(b_2) → inputBox2_{14}
  95. Textfield(h_1) → inputBox3_{14}
  96. Textfield(l_1) → inputBox1_{15}
  97. Textfield(b_2) → inputBox2_{15}
  98. Textfield(h_1) → inputBox3_{15}
  99. Textfield(l_1) → inputBox1_{16}
  100. Textfield(b_2) → inputBox2_{16}
  101. Textfield(h_1) → inputBox3_{16}
  102. Textfield(l_1) → inputBox1_{17}
  103. Textfield(b_2) → inputBox2_{17}
  104. Textfield(h_1) → inputBox3_{17}
  105. Textfield(l_1) → inputBox1_{18}
  106. Textfield(b_2) → inputBox2_{18}
  107. Textfield(h_1) → inputBox3_{18}
  108. Textfield(l_1) → inputBox1_{19}
  109. Textfield(b_2) → inputBox2_{19}
  110. Textfield(h_1) → inputBox3_{19}
  111. Point(Circle[A_3, abs(l_1)]) → B_3
  112. Segment(A_3, B_3) → l_4
  113. Point(Circle[B_3, abs(b_2)]) → C_3
  114. Segment(B_3, C_3) → b_5
  115. Line(C_3, l_4) → d_4
  116. Line(A_3, b_5) → e_4
  117. OrthogonalLine(A_3, l_4) → i_3
  118. OrthogonalLine(B_3, l_4) → j_3
  119. Point(Circle[A_3, abs(h_1)]) → E_3
  120. Segment(A_3, E_3) → h_4
  121. Line(E_3, l_4) → r_3
  122. Textfield(l_1) → inputBox1_{20}
  123. Textfield(b_2) → inputBox2_{20}
  124. Textfield(h_1) → inputBox3_{20}
  125. Textfield(l_1) → inputBox1_{21}
  126. Textfield(b_2) → inputBox2_{21}
  127. Textfield(h_1) → inputBox3_{21}
  128. Textfield(l_1) → inputBox1_{22}
  129. Textfield(b_2) → inputBox2_{22}
  130. Textfield(h_1) → inputBox3_{22}
  131. Textfield(l_1) → inputBox1_{23}
  132. Textfield(b_2) → inputBox2_{23}
  133. Textfield(h_1) → inputBox3_{23}
  134. Textfield(l_1) → inputBox1_{24}
  135. Textfield(b_2) → inputBox2_{24}
  136. Textfield(h_1) → inputBox3_{24}
  137. Textfield(l_1) → inputBox1_{25}
  138. Textfield(b_2) → inputBox2_{25}
  139. Textfield(h_1) → inputBox3_{25}
  140. Textfield(l_1) → inputBox1_{26}
  141. Textfield(b_2) → inputBox2_{26}
  142. Textfield(h_1) → inputBox3_{26}
  143. Textfield(l_1) → inputBox1_{27}
  144. Textfield(b_2) → inputBox2_{27}
  145. Textfield(h_1) → inputBox3_{27}
  146. Textfield(l_1) → inputBox1_{28}
  147. Textfield(b_2) → inputBox2_{28}
  148. Textfield(h_1) → inputBox3_{28}
  149. Textfield(l_1) → inputBox1_{29}
  150. Textfield(b_2) → inputBox2_{29}
  151. Textfield(h_1) → inputBox3_{29}
  152. Textfield(l_1) → inputBox1_{30}
  153. Textfield(b_2) → inputBox2_{30}
  154. Textfield(h_1) → inputBox3_{30}
  155. Textfield(l_1) → inputBox1_{31}
  156. Textfield(b_2) → inputBox2_{31}
  157. Textfield(h_1) → inputBox3_{31}

AI Drawing Prompt Reference

Draw a cuboid and label its length, width, and height. First, input the length, width, and height values, then construct the cuboid's edges and faces based on these values. Start by drawing the length, then the width, connect the length and width to form the base, draw the height, and finally connect the vertices to form the lateral faces of the cuboid.
The prompt above was compiled from the original drawing commands and is for reference only.