Investigation 6: Attributes of Geometric Solids — Practice Questions

1. 1. A pyramid has a square for its base and four triangular sides that meet at a point. How many vertices (corner points) does this pyramid have? ___

2. 2. A wedge of cheese is shaped like a triangular prism. Which option correctly states its number of faces, edges, and vertices?

   • A. 5 faces, 9 edges, 6 vertices
   • B. 5 faces, 8 edges, 5 vertices
   • C. 6 faces, 12 edges, 8 vertices
   • D. 6 faces, 9 edges, 5 vertices

3. 3. An unmarked wooden block is a perfect cube. It has 6 square faces and 8 vertices. How many edges does the block have? ___

4. 4. In the study of three-dimensional shapes, what is the correct definition of an 'edge'?

   • A. A flat surface of the shape
   • B. A line segment where two faces meet
   • C. A corner point where three or more edges meet
   • D. The total volume of the shape

5. 5. A monument is shaped like a square-based pyramid. It has one square base and four triangular faces. How many total edges does this monument have? ___

6. 6. Which of the following solids is NOT a polyhedron?

   • A. A rectangular prism (like a cereal box)
   • B. A pyramid with a square base
   • C. A sphere (like a marble)
   • D. A cube (like a die)

7. 7. A three-dimensional solid made entirely of flat surfaces that are polygons is called a ___.

8. 8. An ice cream cone is a real-world example of a cone. Why is a cone NOT considered a polyhedron?

   • A. Because it comes to a point.
   • B. Because it has a flat circular base.
   • C. Because it has at least one curved surface.
   • D. Because it can hold ice cream.

9. 9. Which statement accurately defines a polyhedron?

   • A. Any 3D shape that has length, width, and height.
   • B. A solid that has at least one flat face.
   • C. A solid that is constructed entirely from flat, polygon-shaped faces.
   • D. A 3D shape that includes a circle as one of its parts.

10. 10. A triangular prism (like a tent) is a polyhedron, but a cylinder (like a can) is not. What is the key difference?

    • A. The prism has triangular faces, and the cylinder does not.
    • B. The prism has only flat surfaces, while the cylinder has a curved surface.
    • C. The prism has parallel bases, and the cylinder does not.
    • D. The prism is a solid, but the cylinder is not.