Test Questions on Faces, Edges, and Vertices of 3D Figures for Grade 7 Students

📚 Quick Study Guide

• 🧊 Faces: 🖼️ A face is a flat surface of a 3D shape. Think of it like the side of a box.
• 📏 Edges: 🔪 An edge is a line segment where two faces meet. It's like the lines you draw to create the shape.
• 📍 Vertices: ⭐️ A vertex (plural: vertices) is a corner where edges meet. It's like the pointy parts of a shape.
• ➗ Euler's Formula: 📐 For any polyhedron (a 3D shape with flat faces), the following is true: $F + V - E = 2$, where $F$ is the number of faces, $V$ is the number of vertices, and $E$ is the number of edges.
• 💡Tips: When counting, mark each face, edge, and vertex to avoid double-counting!

✍️ Practice Quiz

1. What 3D shape has 6 faces, 8 vertices, and 12 edges?
   1. A) Square
   2. B) Cube
   3. C) Pyramid
   4. D) Triangle
2. How many vertices does a triangular prism have?
   1. A) 4
   2. B) 5
   3. C) 6
   4. D) 8
3. A pyramid has a square base. How many faces does it have in total?
   1. A) 4
   2. B) 5
   3. C) 6
   4. D) 8
4. How many edges does a tetrahedron (triangular pyramid) have?
   1. A) 4
   2. B) 5
   3. C) 6
   4. D) 8
5. Which of the following shapes has the fewest number of vertices?
   1. A) Cube
   2. B) Triangular Prism
   3. C) Tetrahedron
   4. D) Square Pyramid
6. A pentagonal prism has how many faces?
   1. A) 5
   2. B) 6
   3. C) 7
   4. D) 8
7. Using Euler's formula, if a shape has 10 faces and 16 vertices, how many edges does it have?
   1. A) 22
   2. B) 24
   3. C) 26
   4. D) 28