IMO- Mathematics Olympiad (SOF) Class 3: Questions 471 - 471 of 581

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This is a cube.

Quadrilateral poly1 Quadrilateral poly1: Polygon C, D, E, FQuadrilateral poly2 Quadrilateral poly2: Polygon D, G, H, EQuadrilateral poly3 Quadrilateral poly3: Polygon F, I, H, ESegment c Segment c: Segment [C, D] of Quadrilateral poly1Segment d Segment d: Segment [D, E] of Quadrilateral poly1Segment e Segment e: Segment [E, F] of Quadrilateral poly1Segment f Segment f: Segment [F, C] of Quadrilateral poly1Segment d_1 Segment d_1: Segment [D, G] of Quadrilateral poly2Segment g Segment g: Segment [G, H] of Quadrilateral poly2Segment h Segment h: Segment [H, E] of Quadrilateral poly2Segment e_1 Segment e_1: Segment [E, D] of Quadrilateral poly2Segment f_1 Segment f_1: Segment [F, I] of Quadrilateral poly3Segment i Segment i: Segment [I, H] of Quadrilateral poly3Segment h_1 Segment h_1: Segment [H, E] of Quadrilateral poly3Segment e_2 Segment e_2: Segment [E, F] of Quadrilateral poly3

Cube Are Given in Image

Showing image of cube

Question number: 471 (3 of 3 Based on Passage) Show Passage

» Geometry



How many of these cubes are needed to make the figures shown?

Polygon poly1 Polygon poly1: Polygon C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, Z, A_1, B_1Quadrilateral poly2 Quadrilateral poly2: Polygon F, C_1, D_1, E_1Quadrilateral poly3 Quadrilateral poly3: Polygon D_1, F_1, G_1, H_1Quadrilateral poly4 Quadrilateral poly4: Polygon G_1, I_1, R, J_1Quadrilateral poly5 Quadrilateral poly5: Polygon H, K_1, L_1, M_1Quadrilateral poly6 Quadrilateral poly6: Polygon L_1, N_1, P, O_1Quadrilateral poly7 Quadrilateral poly7: Polygon J, P_1, N, Q_1Quadrilateral poly8 Quadrilateral poly8: Polygon D, R_1, B_1, CQuadrilateral poly9 Quadrilateral poly9: Polygon B_1, A_1, Z, S_1Quadrilateral poly10 Quadrilateral poly10: Polygon Z, W, V, T_1Quadrilateral poly11 Quadrilateral poly11: Polygon V, U, T, U_1Quadrilateral poly12 Quadrilateral poly12: Polygon R_1, F, C_1, B_1Quadrilateral poly13 Quadrilateral poly13: Polygon S_1, D_1, F_1, ZQuadrilateral poly14 Quadrilateral poly14: Polygon T_1, G_1, I_1, VQuadrilateral poly15 Quadrilateral poly15: Polygon U_1, R, S, TQuadrilateral poly16 Quadrilateral poly16: Polygon E_1, H, K_1, D_1Quadrilateral poly17 Quadrilateral poly17: Polygon H_1, L_1, N_1, G_1Quadrilateral poly18 Quadrilateral poly18: Polygon J_1, P, Q, RQuadrilateral poly19 Quadrilateral poly19: Polygon M_1, J, P_1, L_1Quadrilateral poly20 Quadrilateral poly20: Polygon O_1, N, O, PQuadrilateral poly21 Quadrilateral poly21: Polygon Q_1, L, M, NSegment c Segment c: Segment [C, D] of Polygon poly1Segment d Segment d: Segment [D, E] of Polygon poly1Segment e Segment e: Segment [E, F] of Polygon poly1Segment f Segment f: Segment [F, G] of Polygon poly1Segment g Segment g: Segment [G, H] of Polygon poly1Segment h Segment h: Segment [H, I] of Polygon poly1Segment i Segment i: Segment [I, J] of Polygon poly1Segment j Segment j: Segment [J, K] of Polygon poly1Segment k Segment k: Segment [K, L] of Polygon poly1Segment l Segment l: Segment [L, M] of Polygon poly1Segment m Segment m: Segment [M, N] of Polygon poly1Segment n Segment n: Segment [N, O] of Polygon poly1Segment o Segment o: Segment [O, P] of Polygon poly1Segment p Segment p: Segment [P, Q] of Polygon poly1Segment q Segment q: Segment [Q, R] of Polygon poly1Segment r Segment r: Segment [R, S] of Polygon poly1Segment s Segment s: Segment [S, T] of Polygon poly1Segment t Segment t: Segment [T, U] of Polygon poly1Segment u Segment u: Segment [U, V] of Polygon poly1Segment v Segment v: Segment [V, W] of Polygon poly1Segment w Segment w: Segment [W, Z] of Polygon poly1Segment z_1 Segment z_1: Segment [Z, A_1] of Polygon poly1Segment a_1 Segment a_1: Segment [A_1, B_1] of Polygon poly1Segment b_1 Segment b_1: Segment [B_1, C] of Polygon poly1Segment f_1 Segment f_1: Segment [F, C_1] of Quadrilateral poly2Segment c_1 Segment c_1: Segment [C_1, D_1] of Quadrilateral poly2Segment d_1 Segment d_1: Segment [D_1, E_1] of Quadrilateral poly2Segment e_1 Segment e_1: Segment [E_1, F] of Quadrilateral poly2Segment d_2 Segment d_2: Segment [D_1, F_1] of Quadrilateral poly3Segment f_2 Segment f_2: Segment [F_1, G_1] of Quadrilateral poly3Segment g_1 Segment g_1: Segment [G_1, H_1] of Quadrilateral poly3Segment h_1 Segment h_1: Segment [H_1, D_1] of Quadrilateral poly3Segment g_2 Segment g_2: Segment [G_1, I_1] of Quadrilateral poly4Segment i_1 Segment i_1: Segment [I_1, R] of Quadrilateral poly4Segment r_1 Segment r_1: Segment [R, J_1] of Quadrilateral poly4Segment j_1 Segment j_1: Segment [J_1, G_1] of Quadrilateral poly4Segment h_2 Segment h_2: Segment [H, K_1] of Quadrilateral poly5Segment k_1 Segment k_1: Segment [K_1, L_1] of Quadrilateral poly5Segment l_1 Segment l_1: Segment [L_1, M_1] of Quadrilateral poly5Segment m_1 Segment m_1: Segment [M_1, H] of Quadrilateral poly5Segment l_2 Segment l_2: Segment [L_1, N_1] of Quadrilateral poly6Segment n_1 Segment n_1: Segment [N_1, P] of Quadrilateral poly6Segment p_1 Segment p_1: Segment [P, O_1] of Quadrilateral poly6Segment o_1 Segment o_1: Segment [O_1, L_1] of Quadrilateral poly6Segment j_2 Segment j_2: Segment [J, P_1] of Quadrilateral poly7Segment p_2 Segment p_2: Segment [P_1, N] of Quadrilateral poly7Segment n_2 Segment n_2: Segment [N, Q_1] of Quadrilateral poly7Segment q_1 Segment q_1: Segment [Q_1, J] of Quadrilateral poly7Segment d_3 Segment d_3: Segment [D, R_1] of Quadrilateral poly8Segment r_2 Segment r_2: Segment [R_1, B_1] of Quadrilateral poly8Segment b_2 Segment b_2: Segment [B_1, C] of Quadrilateral poly8Segment c_2 Segment c_2: Segment [C, D] of Quadrilateral poly8Segment b_3 Segment b_3: Segment [B_1, A_1] of Quadrilateral poly9Segment a_2 Segment a_2: Segment [A_1, Z] of Quadrilateral poly9Segment z_2 Segment z_2: Segment [Z, S_1] of Quadrilateral poly9Segment s_1 Segment s_1: Segment [S_1, B_1] of Quadrilateral poly9Segment z_3 Segment z_3: Segment [Z, W] of Quadrilateral poly10Segment w_1 Segment w_1: Segment [W, V] of Quadrilateral poly10Segment v_1 Segment v_1: Segment [V, T_1] of Quadrilateral poly10Segment t_1 Segment t_1: Segment [T_1, Z] of Quadrilateral poly10Segment v_2 Segment v_2: Segment [V, U] of Quadrilateral poly11Segment u_1 Segment u_1: Segment [U, T] of Quadrilateral poly11Segment t_2 Segment t_2: Segment [T, U_1] of Quadrilateral poly11Segment u_2 Segment u_2: Segment [U_1, V] of Quadrilateral poly11Segment r_3 Segment r_3: Segment [R_1, F] of Quadrilateral poly12Segment f_3 Segment f_3: Segment [F, C_1] of Quadrilateral poly12Segment c_3 Segment c_3: Segment [C_1, B_1] of Quadrilateral poly12Segment b_4 Segment b_4: Segment [B_1, R_1] of Quadrilateral poly12Segment s_2 Segment s_2: Segment [S_1, D_1] of Quadrilateral poly13Segment d_4 Segment d_4: Segment [D_1, F_1] of Quadrilateral poly13Segment f_4 Segment f_4: Segment [F_1, Z] of Quadrilateral poly13Segment z_4 Segment z_4: Segment [Z, S_1] of Quadrilateral poly13Segment t_3 Segment t_3: Segment [T_1, G_1] of Quadrilateral poly14Segment g_3 Segment g_3: Segment [G_1, I_1] of Quadrilateral poly14Segment i_2 Segment i_2: Segment [I_1, V] of Quadrilateral poly14Segment v_3 Segment v_3: Segment [V, T_1] of Quadrilateral poly14Segment u_3 Segment u_3: Segment [U_1, R] of Quadrilateral poly15Segment r_4 Segment r_4: Segment [R, S] of Quadrilateral poly15Segment s_3 Segment s_3: Segment [S, T] of Quadrilateral poly15Segment t_4 Segment t_4: Segment [T, U_1] of Quadrilateral poly15Segment e_2 Segment e_2: Segment [E_1, H] of Quadrilateral poly16Segment h_3 Segment h_3: Segment [H, K_1] of Quadrilateral poly16Segment k_2 Segment k_2: Segment [K_1, D_1] of Quadrilateral poly16Segment d_5 Segment d_5: Segment [D_1, E_1] of Quadrilateral poly16Segment h_4 Segment h_4: Segment [H_1, L_1] of Quadrilateral poly17Segment l_3 Segment l_3: Segment [L_1, N_1] of Quadrilateral poly17Segment n_3 Segment n_3: Segment [N_1, G_1] of Quadrilateral poly17Segment g_4 Segment g_4: Segment [G_1, H_1] of Quadrilateral poly17Segment j_3 Segment j_3: Segment [J_1, P] of Quadrilateral poly18Segment p_3 Segment p_3: Segment [P, Q] of Quadrilateral poly18Segment q_2 Segment q_2: Segment [Q, R] of Quadrilateral poly18Segment r_5 Segment r_5: Segment [R, J_1] of Quadrilateral poly18Segment m_2 Segment m_2: Segment [M_1, J] of Quadrilateral poly19Segment j_4 Segment j_4: Segment [J, P_1] of Quadrilateral poly19Segment p_4 Segment p_4: Segment [P_1, L_1] of Quadrilateral poly19Segment l_4 Segment l_4: Segment [L_1, M_1] of Quadrilateral poly19Segment o_2 Segment o_2: Segment [O_1, N] of Quadrilateral poly20Segment n_4 Segment n_4: Segment [N, O] of Quadrilateral poly20Segment o_3 Segment o_3: Segment [O, P] of Quadrilateral poly20Segment p_5 Segment p_5: Segment [P, O_1] of Quadrilateral poly20Segment q_3 Segment q_3: Segment [Q_1, L] of Quadrilateral poly21Segment l_5 Segment l_5: Segment [L, M] of Quadrilateral poly21Segment m_3 Segment m_3: Segment [M, N] of Quadrilateral poly21Segment n_5 Segment n_5: Segment [N, Q_1] of Quadrilateral poly21

the Figure Made by Cube

Find the how many cubes in given figure


Choice (4) Response









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