HavenHub Math • Edition 8
Unit 3 Workbook: The Solid World
The Scribe's Log of Substance and Substance
Lesson 3.1: The Anatomy of the Solid
1.A flat surface is a .
2.A straight line seam is an .
3.A pointy corner is a .
4.How many faces on a Cube?
5.How many edges on a Cube?
6.How many vertices on a Cube?
7.True or False: Edges connect two vertices.
8.True or False: Faces connect two edges.
Draw a Cube. Use dotted lines for the 3 edges you cannot see in the back.
Lesson 3.2: The Prism of Consistency
1.How many bases does a prism have?
2.Are the bases identical or different?
3.Which has triangle ends?
[ ] Square Prism
[ ] Triangular Prism
4.What shape are the other faces?
[ ] Circles
[ ] Rectangles
5.Name a food that is a prism:
6.Count faces on a Triangular Prism:
7.Count edges on a Triangular Prism:
9.Look at a can of beans. How many circular faces?
10.Look at a party hat. How many vertices?
11.Look at a laptop. Is it a solid?
12.Which has more faces: 2 Cubes or 3 Triangular Pyramids?
13.Name a solid that rolling isn't allowed for:
14.If a solid has 100 faces, is it a polyhedron?
15.How many corners meet at the center of a cube?
16.Does a Sphere have any edges?
17.Can you stack 3 spheres?
18.Which has more vertices: A Cylinder or a Cube?
Lesson 3.3: The Pyramid of Focus
1.The top point is called the .
2.How many bases does a pyramid have?
3.The faces of a pyramid are always .
4.A Square Pyramid has how many vertices?
5.A Triangular Pyramid has how many faces?
6.A Triangular Pyramid has how many edges?
7.True or False: All pyramids come to a point.
8.Draw a Square Pyramid:
Lesson 3.4: Curved Grace
1.Which has 0 vertices?
[ ] Cube
[ ] Sphere
2.Which has 2 circle faces?
[ ] Cone
[ ] Cylinder
3.Which has 1 circle and 1 apex?
[ ] Cone
[ ] Cylinder
4.A ball is a .
5.A soup can is a .
6.Which can slide AND roll?
7.True or False: A sphere has edges.
8.True or False: A cone rolls in a circle.
Lesson 3.5: The Folding Blueprint
1.A net of a Cube has how many squares?
2.A net of a Cylinder has how many circles?
3.What shape is the side of a cylinder net?
4.Draw a Net for a Cube (The Cross shape).
Appendix A: The 100-Problem Density Block
Complete all 100 to earn the Mason's Seal.
1. Cube: 6 faces
2. Cube: 12 edges
3. Cube: 8 vertices
4. Sq Pyramid: 5 faces
5. Sq Pyramid: 8 edges
6. Sq Pyramid: 5 vertices
7. Sphere: 0 vertices
8. Cylinder: 3 faces (total)
9. Cone: 2 faces (total)
10. Tri Prism: 5 faces
11. Tri Prism: 9 edges
12. Tri Prism: 6 vertices
13. Rect Prism: 6 faces
14. Rect Prism: 12 edges
15. Rect Prism: 8 vertices
16. Tri Pyramid: 4 faces
17. Tri Pyramid: 6 edges
18. Tri Pyramid: 4 vertices
19. Roll: Sphere
20. Roll: Cylinder
21. Slide: Cube
22. Slide: Prism
23. Stack: Cube
24. Stack: Prism
25. No Stack: Sphere
26. Face = Plane
27. Edge = Line
28. Vertex = Point
29. Volume = Space
30. Mass = Weight
31. Net of Cube
32. Net of Pyramid
33. Net of Cylinder
34. Apex = Top
35. Base = Ground
36. 6-12-8 Cube
37. 5-8-5 Pyramid
38. 4-6-4 Tri-Pyramid
39. 5-9-6 Tri-Prism
40. 3-2-0 Cylinder
41. Polyhedron: Cube
42. Polyhedron: Prism
43. Polyhedron: Pyramid
44. Non-Poly: Sphere
45. Non-Poly: Cone
46. Non-Poly: Cylinder
47. 3D = Depth
48. 2D = Flat
49. 1D = Line
50. 0D = Point
51. 6 + 6 = 12 faces
52. 12 + 12 = 24 edges
53. 8 + 8 = 16 vertices
54. 5 + 5 = 10 faces
55. 10 x 6 = 60 faces
56. Square base
57. Circle base
58. Triangle base
59. Rectangular base
60. Identical bases
61. Parallel faces
62. Perpendicular faces
63. Perpendicular edges
64. Parallel edges
65. Right angle vertex
66. Identify Cube
67. Identify Prism
68. Identify Pyramid
69. Identify Sphere
70. Identify Cone
71. Geometry = Measure
72. Geo = Earth
73. Metry = Measure
74. Substance = Form
75. Depth = Reality
76. Tally the faces
77. Tally the edges
78. Tally the points
79. Record the volume
80. Verify the net
81. 6 is the Cube
82. 5 is the Pyramid
83. 3 is the Cylinder
84. 2 is the Cone
85. 1 is the Sphere
86. Measure the box
87. Measure the ball
88. Measure the can
89. Measure the block
90. Measure the heart
91. 1.00 Integrity
92. 1.00 Honesty
93. 1.00 Order
94. 1.00 Unity
95. 1.00 Strength
96. 1.00 Beauty
97. 1.00 Wisdom
98. 1.00 Architecture
99. 1.00 Foundation
100. 1.00 Shalom
Instructions for the Scribe: Continue this pattern until you reach 100. Practice identifying solids, counting their parts, and visualizing their nets. Accuracy is your Honor.
Appendix D: The Scribe's Net Construction
Use this page to practice "Projective Visualization"—the art of seeing the solid inside the flat.
Step 1: The Square Tally. Count the faces on your blueprint. How many squares do you see? . How many will be needed for a cube? .
Step 2: The Edge Map. Draw a Net for a Triangular Pyramid. (Hint: It needs 4 triangles). Label each "fold line" as an Edge.
Step 3: The Curved Foundation. Draw the Net for a Cylinder. (Hint: It needs 2 circles and 1 rectangle). Label the circles as Bases.
Step 4: The 3D Audit. Find a solid object in your house. Draw it here using Dotted Lines for the hidden edges. Record its code: F: E: V: .
Appendix B: The Master's Final Audit
Check the boxes only when you have mastered the skill.
- [ ] I can identify Faces, Edges, and Vertices.
- [ ] I know the body code for a Cube (6-12-8).
- [ ] I can distinguish between a Prism and a Pyramid.
- [ ] I can identify Spheres, Cylinders, and Cones.
- [ ] I can fold a 2D Net into a 3D Solid.
- [ ] I am a faithful Scribe of the Substance.
Appendix C: The Litany of the Solid
Recite this to close the unit.
Mentor: Scribe, what is a solid?
Student: A body of substance with depth and truth.
Mentor: Why do we count the hidden edges?
Student: To see the full foundation and find the secret strength.
Mentor: What shape points us to the Father?
Student: The Pyramid. All witness meeting at the Apex.
Mentor: Go now, and build a world of solid foundations.
Student: Amen. Prismatic in consistency, Spherical in grace.
Unit 3 Complete!
You are ready for the Great Heartbeat.
HALLELUYAH!