SCRIPT 2026 COMPREHENSIVE QUESTIONS
WITH SOLUTIONS GRADED A+
⩥ Tetrahedron. Answer: 4 faces, 3 triangles at one point, 6 edges, 4
vertices
⩥ Cube. Answer: 6 faces, 3 squares at one point, 8 vertices, 12 edges
⩥ Dodecahedron. Answer: 12 faces, 3 pentagons at one point, 20
vertices, 30 edges
⩥ Octahedron. Answer: 8 faces, 4 triangles at one point, 6 vertices, 12
edges
⩥ Icosahedron. Answer: 20 faces, 5 triangles at one point, 12 vertices,
30 edges
⩥ Euler's Formula. Answer: F + V = E + 2
⩥ Truncated Tetrahedron. Answer: 12 Vertices, 2 Hexagons 1 Triangle at
a point, 18 edges, 8 Faces (4 Triangles, 4 Hexagons)
, ⩥ Truncated Cube. Answer: 24 Vertices (2 Octagons, 1 Triangle), 36
Edges, 14 Faces (8 Triangles, 6 Octagons)
⩥ Truncated Octahedron. Answer: 24 Vertices (2 Octagons, 1 Triangle) ;
36 Edges ; 14 Faces (6 Squares, 8 Hexagons)
⩥ Truncated Dodecahedron. Answer: 60 Vertices (2 Decagons, 1
Triangle), 90 Edges, 32 (20 Triangles, 12 Decagons)
⩥ Truncated Icosahedron. Answer: 60 Vertices (2 Hexagons, 1
Pentagon), 90 Edges, 32 Faces (12 Pentagons, 20 Hexagons)
⩥ Number of Star Paths. Answer: Greatest common factor of n and k
⩥ Length of Each Star Path. Answer: n / # of paths
⩥ Area of Trapezoid. Answer: ((B1 + B2)) x h / 2
⩥ Golden Ratio. Answer: 1 + square root of
⩥ Regular Tessellations. Answer: Triangle, hexagon, square