MathPlotAI Logo MathPlotAI

Rectangular Prism by KruPongsak Wuttisant _TH

Rectangular Prism by KruPongsak Wuttisant _TH
Loading the math board and drawing, please wait…
2019-03-19 16:00
VectorSolid GeometryGeometric Construction
This example demonstrates the construction of a rectangular prism and its net. Key mathematical concepts include the properties of a rectangular prism in solid geometry. Using GeoGebra commands such as Polygon, Prism, and Net, the example visually illustrates the faces and edges of the prism. Suitable for students at the middle school level and above.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → q1, a_1, b_1, c_1, d
  2. Prism(q1, c) → e, E, ขอบAE, ขอบBF, ขอบCG, ขอบDH, ขอบEF, ขอบFG, ขอบGH, ขอบEH, F, G, H, หน้าABFE, หน้าBCGF, หน้าCDHG, หน้าADHE, หน้าEFGH
  3. Net(e, g) → f, I, R, S, T, U, V, face1, face2, face3, face4, face5, J, face6, ขอบ1, ขอบ2, ขอบ3, ขอบ4, ขอบ5, ขอบ6, ขอบ7, ขอบ8, ขอบ9, K, ขอบ10, ขอบ11, ขอบ12, ขอบ13, ขอบ14, ขอบ15, ขอบ16, ขอบ17, ขอบ18, ขอบ19, L, M, N, O, P, Q
  4. Circle(A, 1, ขอบ4) → h
  5. Intersect(ขอบ1, h, 1) → A_1
  6. Vector(A, A_1) → u
  7. Translate(L, u) → L'
  8. Translate(I, u) → I'
  9. Segment(L', I') → ขอบ4'
  10. Translate(L', u) → L''
  11. Translate(I', u) → I''
  12. Segment(L'', I'') → ขอบ4''
  13. Translate(L'', u) → L'''
  14. Translate(I'', u) → I'''
  15. Segment(L''', I''') → ขอบ4'''
  16. Translate(L''', u) → Z
  17. Translate(I''', u) → B_1
  18. Segment(Z, B_1) → i
  19. Translate(Z, u) → Z'
  20. Translate(B_1, u) → C_1
  21. Segment(Z', C_1) → i'
  22. Translate(Z', u) → Z''
  23. Translate(C_1, u) → D_1
  24. Segment(Z'', D_1) → i''
  25. Translate(Z'', u) → Z'''
  26. Translate(D_1, u) → E_1
  27. Segment(Z''', E_1) → i'''
  28. Translate(Z''', u) → F_1
  29. Translate(E_1, u) → G_1
  30. Segment(F_1, G_1) → j
  31. Translate(K, u) → K'
  32. Translate(K', u) → K''
  33. Translate(F_1, u) → H_1
  34. Translate(G_1, u) → I_1
  35. Segment(H_1, I_1) → j'
  36. Translate(H_1, u) → J_1
  37. Translate(I_1, u) → K_1
  38. Segment(J_1, K_1) → j''
  39. Translate(J_1, u) → L_1
  40. Translate(K_1, u) → M_1
  41. Segment(L_1, M_1) → j'''
  42. Point(ขอบ16) → N_1
  43. Circle(C, 1, ขอบ3) → k
  44. Intersect(ขอบ11, k) → W, Q_1
  45. Vector(C, Q_1) → v
  46. Translate(K, v) → K'_1
  47. Translate(L, v) → L'_1
  48. Segment(K'_1, L'_1) → ขอบ3'
  49. Translate(K'_1, v) → R_1
  50. Translate(L'_1, v) → S_1
  51. Segment(R_1, S_1) → ขอบ3''
  52. Translate(R_1, v) → T_1
  53. Translate(S_1, v) → U_1
  54. Segment(T_1, U_1) → ขอบ3'''
  55. Translate(T_1, v) → V_1
  56. Translate(U_1, v) → W_1
  57. Segment(V_1, W_1) → l
  58. Translate(V_1, v) → Z_1
  59. Translate(W_1, v) → A_2
  60. Segment(Z_1, A_2) → l'
  61. Translate(Z_1, v) → B_2
  62. Translate(A_2, v) → C_2
  63. Segment(B_2, C_2) → l''
  64. Translate(B_2, v) → D_2
  65. Translate(C_2, v) → E_2
  66. Segment(D_2, E_2) → l'''
  67. Translate(D_2, v) → F_2
  68. Translate(E_2, v) → G_2
  69. Segment(F_2, G_2) → m
  70. Translate(F_2, v) → H_2
  71. Translate(G_2, v) → I_2
  72. Segment(H_2, I_2) → m'
  73. Translate(H_2, v) → J_2
  74. Translate(H_2, v) → K_2
  75. Translate(H_2, v) → L_2
  76. Translate(I_2, v) → M_2
  77. Segment(L_2, M_2) → m''
  78. Translate(L_2, v) → N_2
  79. Translate(M_2, v) → O_2
  80. Segment(N_2, O_2) → m'''
  81. Translate(L, u) → L'_2
  82. Translate(R, u) → R'
  83. Segment(L'_2, R') → ขอบ13'
  84. Translate(L'_2, u) → P_2
  85. Translate(R', u) → R''
  86. Segment(P_2, R'') → ขอบ13''
  87. Translate(P_2, u) → Q_2
  88. Translate(R'', u) → R'''
  89. Segment(Q_2, R''') → ขอบ13'''
  90. Translate(Q_2, u) → R_2
  91. Translate(R''', u) → S_2
  92. Segment(R_2, S_2) → n
  93. Translate(R_2, u) → T_2
  94. Translate(S_2, u) → U_2
  95. Segment(T_2, U_2) → n'
  96. Translate(T_2, u) → V_2
  97. Translate(U_2, u) → W_2
  98. Segment(V_2, W_2) → n''
  99. Translate(V_2, u) → Z_2
  100. Translate(W_2, u) → A_3
  101. Segment(Z_2, A_3) → n'''
  102. Translate(Z_2, u) → B_3
  103. Translate(A_3, u) → C_3
  104. Segment(B_3, C_3) → p
  105. Translate(B_3, u) → D_3
  106. Translate(C_3, u) → E_3
  107. Segment(D_3, E_3) → p'
  108. Translate(D_3, u) → F_3
  109. Translate(E_3, u) → G_3
  110. Segment(F_3, G_3) → p''
  111. Translate(F_3, u) → H_3
  112. Translate(G_3, u) → I_3
  113. Segment(H_3, I_3) → p'''
  114. Circle(B, 1, ขอบ1) → r
  115. Intersect(ขอบ7, r) → K_3,
  116. Vector(B, K_3) → s
  117. Translate(I, s) → I'_1
  118. Translate(J, s) → J'
  119. Segment(I'_1, J') → ขอบ1'
  120. Translate(I'_1, s) → L_3
  121. Translate(J', s) → J''
  122. Segment(L_3, J'') → ขอบ1''
  123. Translate(L_3, s) → M_3
  124. Translate(J'', s) → J'''
  125. Segment(M_3, J''') → ขอบ1'''
  126. Translate(M_3, s) → N_3
  127. Translate(J''', s) → O_3
  128. Segment(N_3, O_3) → t
  129. Translate(N_3, s) → P_3
  130. Translate(O_3, s) → Q_3
  131. Segment(P_3, Q_3) → t'
  132. Translate(P_3, s) → R_3
  133. Translate(Q_3, s) → S_3
  134. Segment(R_3, S_3) → t''
  135. Translate(R_3, s) → T_3
  136. Translate(S_3, s) → U_3
  137. Segment(T_3, U_3) → t'''
  138. Translate(T_3, s) → V_3
  139. Translate(U_3, s) → W_3
  140. Segment(V_3, W_3) → f_1
  141. Translate(V_3, s) → Z_3
  142. Translate(W_3, s) → A_4
  143. Segment(Z_3, A_4) → g_1
  144. Translate(Z_3, s) → B_4
  145. Translate(A_4, s) → C_4
  146. Segment(B_4, C_4) → h_1
  147. Translate(B_4, s) → D_4
  148. Translate(C_4, s) → E_4
  149. Segment(D_4, E_4) → i_1
  150. Intersect(ขอบ2, r, 1) → F_4
  151. Circle(N, 1, ขอบ6) → q
  152. Intersect(ขอบ17, q, 1) → J_3
  153. Vector(N, J_3) → u_1
  154. Translate(N, u_1) → N'
  155. Translate(M, u_1) → M'
  156. Segment(N', M') → ขอบ6'
  157. Translate(N', u_1) → N''
  158. Translate(M', u_1) → M''
  159. Segment(N'', M'') → ขอบ6''
  160. Translate(N'', u_1) → N'''
  161. Translate(M'', u_1) → M'''
  162. Segment(N''', M''') → ขอบ6'''
  163. Translate(N''', u_1) → G_4
  164. Translate(M''', u_1) → H_4
  165. Segment(G_4, H_4) → j_1
  166. Translate(G_4, u_1) → I_4
  167. Translate(H_4, u_1) → J_4
  168. Segment(I_4, J_4) → k_1
  169. Translate(I_4, u_1) → K_4
  170. Translate(J_4, u_1) → L_4
  171. Segment(K_4, L_4) → l_1
  172. Translate(K_4, u_1) → M_4
  173. Translate(L_4, u_1) → N_4
  174. Segment(M_4, N_4) → m_1
  175. Translate(M_4, u_1) → O_4
  176. Translate(N_4, u_1) → P_4
  177. Segment(O_4, P_4) → n_1
  178. Translate(O_4, u_1) → Q_4
  179. Translate(P_4, u_1) → R_4
  180. Segment(Q_4, R_4) → p_1
  181. Translate(Q_4, u_1) → S_4
  182. Translate(R_4, u_1) → T_4
  183. Segment(S_4, T_4) → q_1
  184. Translate(S_4, u_1) → U_4
  185. Translate(T_4, u_1) → V_4
  186. Segment(U_4, V_4) → r_1
  187. Vector(B, F_4) → v_1
  188. Translate(I, v_1) → I'_2
  189. Translate(J, v_1) → J'_1
  190. Segment(I'_2, J'_1) → ขอบ1'_1
  191. Translate(I'_2, v_1) → W_4
  192. Translate(J'_1, v_1) → Z_4
  193. Segment(W_4, Z_4) → s_1
  194. Translate(W_4, v_1) → A_5
  195. Translate(Z_4, v_1) → B_5
  196. Segment(A_5, B_5) → t_1
  197. Translate(A_5, v_1) → C_5
  198. Translate(B_5, v_1) → D_5
  199. Segment(C_5, D_5) → d_1
  200. Translate(C_5, v_1) → E_5
  201. Translate(D_5, v_1) → F_5
  202. Segment(E_5, F_5) → e_1
  203. Translate(E_5, v_1) → G_5
  204. Translate(F_5, v_1) → H_5
  205. Segment(G_5, H_5) → f_2
  206. Translate(G_5, v_1) → I_5
  207. Translate(H_5, v_1) → J_5
  208. Segment(I_5, J_5) → g_2
  209. Translate(I_5, v_1) → K_5
  210. Translate(J_5, v_1) → L_5
  211. Segment(K_5, L_5) → h_2
  212. Translate(K_5, v_1) → M_5
  213. Translate(L_5, v_1) → N_5
  214. Segment(M_5, N_5) → i_2
  215. Translate(M_5, v_1) → O_5
  216. Translate(N_5, v_1) → P_5
  217. Translate(O_5, v_1) → Q_5
  218. Translate(P_5, v_1) → R_5
  219. Segment(Q_5, R_5) → k_2
  220. Translate(M, u) → M'_1
  221. Translate(I, u) → I'_3
  222. Segment(M'_1, I'_3) → ขอบ5'
  223. Translate(M'_1, u) → S_5
  224. Translate(I'_3, u) → T_5
  225. Segment(S_5, T_5) → ขอบ5''
  226. Translate(S_5, u) → U_5
  227. Translate(T_5, u) → V_5
  228. Segment(U_5, V_5) → ขอบ5'''
  229. Translate(U_5, u) → W_5
  230. Translate(V_5, u) → Z_5
  231. Segment(W_5, Z_5) → l_2
  232. Translate(W_5, u) → A_6
  233. Translate(Z_5, u) → B_6
  234. Segment(A_6, B_6) → m_2
  235. Translate(A_6, u) → C_6
  236. Translate(B_6, u) → D_6
  237. Segment(C_6, D_6) → n_2
  238. Translate(C_6, u) → E_6
  239. Translate(D_6, u) → F_6
  240. Segment(E_6, F_6) → p_2
  241. Translate(E_6, u) → G_6
  242. Translate(F_6, u) → H_6
  243. Segment(G_6, H_6) → q_2
  244. Translate(G_6, u) → I_6
  245. Translate(H_6, u) → J_6
  246. Segment(I_6, J_6) → r_2
  247. Translate(I_6, u) → K_6
  248. Translate(J_6, u) → L_6
  249. Segment(K_6, L_6) → s_2
  250. Segment(M, V) → t_2
  251. Translate(M, u) → M'_2
  252. Translate(V, u) → V'
  253. Segment(M'_2, V') → a_2
  254. Translate(M'_2, u) → M_6
  255. Translate(V', u) → V''
  256. Segment(M_6, V'') → b_2
  257. Translate(M_6, u) → N_6
  258. Translate(V'', u) → V'''
  259. Segment(N_6, V''') → c_2
  260. Translate(N_6, u) → O_6
  261. Translate(V''', u) → P_6
  262. Segment(O_6, P_6) → d_2
  263. Translate(O_6, u) → Q_6
  264. Translate(P_6, u) → R_6
  265. Segment(Q_6, R_6) → e_2
  266. Translate(Q_6, u) → S_6
  267. Translate(R_6, u) → T_6
  268. Segment(S_6, T_6) → f_3
  269. Translate(S_6, u) → U_6
  270. Translate(T_6, u) → V_6
  271. Segment(U_6, V_6) → g_3
  272. Translate(U_6, u) → W_6
  273. Translate(V_6, u) → Z_6
  274. Segment(W_6, Z_6) → h_3
  275. Translate(W_6, u) → A_7
  276. Translate(Z_6, u) → B_7
  277. Segment(A_7, B_7) → i_3
  278. Translate(A_7, u) → C_7
  279. Translate(B_7, u) → D_7
  280. Segment(C_7, D_7) → j_3
  281. Translate(C_7, u) → E_7
  282. Translate(D_7, u) → F_7
  283. Segment(E_7, F_7) → k_3
  284. Translate(K_6, u) → G_7
  285. Translate(L_6, u) → H_7
  286. Segment(G_7, H_7) → l_3
  287. Circle(C, 1, ขอบ2) → c_3
  288. Intersect(ขอบ10, c_3) → I_7,
  289. Vector(C, I_7) → w_1
  290. Translate(J, w_1) → J'_2
  291. Translate(K, w_1) → K'_2
  292. Segment(J'_2, K'_2) → ขอบ2'
  293. Translate(J'_2, w_1) → J_7
  294. Translate(K'_2, w_1) → K_7
  295. Segment(J_7, K_7) → ขอบ2''
  296. Translate(J_7, w_1) → L_7
  297. Translate(K_7, w_1) → M_7
  298. Segment(L_7, M_7) → ขอบ2'''
  299. Translate(L_7, w_1) → N_7
  300. Translate(M_7, w_1) → O_7
  301. Segment(N_7, O_7) → j_2
  302. Translate(N_7, w_1) → P_7
  303. Translate(O_7, w_1) → Q_7
  304. Segment(P_7, Q_7) → m_3
  305. Translate(P_7, w_1) → R_7
  306. Translate(Q_7, w_1) → S_7
  307. Segment(R_7, S_7) → n_3
  308. Translate(R_7, w_1) → T_7
  309. Translate(S_7, w_1) → U_7
  310. Segment(T_7, U_7) → p_3
  311. Translate(T_7, w_1) → V_7
  312. Translate(U_7, w_1) → W_7
  313. Segment(V_7, W_7) → q_3
  314. Translate(V_7, w_1) → Z_7
  315. Translate(W_7, w_1) → A_8
  316. Segment(Z_7, A_8) → r_3
  317. Intersect(ขอบ16, h, 1) → B_8
  318. Vector(A, B_8) → u_2
  319. Translate(L, u_2) → L'_3
  320. Translate(I, u_2) → I'_4
  321. Segment(L'_3, I'_4) → ขอบ4'_1
  322. Translate(L'_3, u_2) → C_8
  323. Translate(I'_4, u_2) → D_8
  324. Segment(C_8, D_8) → s_3
  325. Translate(C_8, u_2) → E_8
  326. Translate(D_8, u_2) → F_8
  327. Segment(E_8, F_8) → t_3
  328. Translate(E_8, u_2) → G_8
  329. Translate(F_8, u_2) → H_8
  330. Segment(G_8, H_8) → a_3
  331. Translate(G_8, u_2) → I_8
  332. Translate(H_8, u_2) → J_8
  333. Segment(I_8, J_8) → b_3
  334. Translate(I_8, u_2) → K_8
  335. Translate(J_8, u_2) → L_8
  336. Segment(K_8, L_8) → d_3
  337. Vector(B_8, I'_4) → v_2
  338. Translate(K_8, v_2) → M_8
  339. Translate(L_8, v_2) → N_8
  340. Segment(M_8, N_8) → e_3
  341. Translate(M_8, u_2) → O_8
  342. Translate(N_8, u_2) → P_8
  343. Segment(O_8, P_8) → f_4
  344. Translate(O_8, u_2) → Q_8
  345. Translate(P_8, u_2) → R_8
  346. Segment(Q_8, R_8) → g_4
  347. Translate(Q_8, u_2) → S_8
  348. Translate(R_8, u_2) → T_8
  349. Segment(S_8, T_8) → h_4
  350. Intersect(i_2, ขอบ2) → U_8
  351. Vector(C, U_8) → u_3
  352. Translate(K, u_3) → K'_3
  353. Translate(P, u_3) → P'
  354. Translate(K'_3, u_3) → V_8
  355. Translate(P', u_3) → P''
  356. Translate(V_8, u_3) → W_8
  357. Translate(P'', u_3) → P'''
  358. Translate(W_8, u_3) → Z_8
  359. Translate(P''', u_3) → A_9
  360. Translate(Z_8, u_3) → B_9
  361. Translate(A_9, u_3) → C_9
  362. Translate(B_9, u_3) → D_9
  363. Translate(C_9, u_3) → E_9
  364. Translate(D_9, u_3) → F_9
  365. Translate(E_9, u_3) → G_9
  366. Translate(F_9, u_3) → H_9
  367. Translate(G_9, u_3) → I_9
  368. Translate(H_9, u_3) → J_9
  369. Translate(I_9, u_3) → K_9
  370. Circle(A, 1, ขอบ1) → c_4
  371. Intersect(ขอบ4, c_4) → L_9, M_9
  372. Vector(A, M_9) → u_4
  373. Translate(I, u_4) → I'_5
  374. Translate(T, u_4) → T'
  375. Segment(I'_5, T') → ขอบ16'
  376. Translate(I'_5, u_4) → N_9
  377. Translate(T', u_4) → T''
  378. Segment(N_9, T'') → ขอบ16''
  379. Translate(N_9, u_4) → O_9
  380. Translate(T'', u_4) → T'''
  381. Segment(O_9, T''') → ขอบ16'''
  382. Translate(O_9, u_4) → P_9
  383. Translate(T''', u_4) → Q_9
  384. Segment(P_9, Q_9) → p_4
  385. Translate(P_9, u_4) → R_9
  386. Translate(Q_9, u_4) → S_9
  387. Segment(R_9, S_9) → q_4
  388. Translate(R_9, u_4) → T_9
  389. Translate(S_9, u_4) → U_9
  390. Segment(T_9, U_9) → r_4
  391. Translate(T_9, u_4) → V_9
  392. Translate(U_9, u_4) → W_9
  393. Segment(V_9, W_9) → s_4
  394. Translate(V_9, u_4) → Z_9
  395. Translate(W_9, u_4) → A_{10}
  396. Segment(Z_9, A_{10}) → t_4
  397. Translate(Z_9, u_4) → B_{10}
  398. Translate(A_{10}, u_4) → C_{10}
  399. Segment(B_{10}, C_{10}) → a_4
  400. Translate(O, v_1) → O'
  401. Translate(J, v_1) → J'_3
  402. Segment(O', J'_3) → ขอบ8'
  403. Translate(O', v_1) → O''
  404. Translate(J'_3, v_1) → D_{10}
  405. Segment(O'', D_{10}) → ขอบ8''
  406. Translate(O'', v_1) → O'''
  407. Translate(D_{10}, v_1) → E_{10}
  408. Segment(O''', E_{10}) → ขอบ8'''
  409. Translate(O''', v_1) → F_{10}
  410. Translate(E_{10}, v_1) → G_{10}
  411. Segment(F_{10}, G_{10}) → i_4
  412. Translate(F_{10}, v_1) → H_{10}
  413. Translate(G_{10}, v_1) → I_{10}
  414. Segment(H_{10}, I_{10}) → j_4
  415. Translate(H_{10}, v_1) → J_{10}
  416. Translate(I_{10}, v_1) → K_{10}
  417. Segment(J_{10}, K_{10}) → k_4
  418. Translate(J_{10}, v_1) → L_{10}
  419. Translate(K_{10}, v_1) → M_{10}
  420. Segment(L_{10}, M_{10}) → l_4
  421. Translate(L_{10}, v_1) → N_{10}
  422. Translate(M_{10}, v_1) → O_{10}
  423. Segment(N_{10}, O_{10}) → m_4
  424. Translate(N_{10}, v_1) → P_{10}
  425. Translate(O_{10}, v_1) → Q_{10}
  426. Segment(P_{10}, Q_{10}) → n_4