Can You Pass This Polyhedron Quiz?
This quiz covers the basic topics involved in Platonic solids and other polyhedra. It is intended for introductory high school geometry and does not cover angles or trigonometry. Read the questions carefully and answer. So, let's try out the quiz. All the best!
- 1.
Another name for a corner, or point, is
- A.
Face
- B.
Edge
- C.
Vertex
- D.
Polygon
Correct Answer
C. VertexExplanation
A vertex is a point where two or more lines or edges meet. It is also referred to as a corner. In geometry, a vertex is an important element in defining the shape and structure of a polygon. It is the point where the sides of the polygon intersect, forming angles. Therefore, vertex is the correct answer for another name for a corner or point.Rate this question:
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- 2.
On a cube, there are a total of
- A.
8 faces and 6 edges
- B.
6 faces and 8 edges
- C.
6 faces and 12 edges
- D.
6 faces and 16 edges
Correct Answer
C. 6 faces and 12 edgesExplanation
A cube has 6 faces, each of which is a square. Each face of the cube is connected to 4 other faces, resulting in a total of 12 edges. Therefore, the correct answer is 6 faces and 12 edges.Rate this question:
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- 3.
Every polygon must have the same number of
- A.
Edges as vertices
- B.
Faces as vertices
- C.
Edges as faces
- D.
None of the above
Correct Answer
A. Edges as verticesExplanation
In a polygon, each vertex is connected to two edges, and each edge is connected to two vertices. Therefore, the number of edges is always equal to the number of vertices. Hence, the correct answer is "edges as vertices".Rate this question:
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- 4.
If you truncate one vertex of the dodecahedron shown, the new face created will be a
- A.
Triangle
- B.
Square
- C.
Pentagon
- D.
Octagon
Correct Answer
A. TriangleExplanation
When a vertex of a dodecahedron is truncated, it creates a new face with three sides, which is a triangle. Truncating a vertex involves cutting off a portion of the dodecahedron, resulting in a flat surface that connects three adjacent vertices. This new face will have three straight sides, forming a triangle shape. Therefore, the correct answer is triangle.Rate this question:
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- 5.
How many Platonic Solids are there?
- A.
Four
- B.
Five
- C.
Six
- D.
Seven
Correct Answer
B. FiveExplanation
There are five Platonic Solids. These are regular polyhedra, meaning that all of their faces are congruent regular polygons, and their vertices are equidistant from the center. The five Platonic Solids are the tetrahedron (4 faces), cube (6 faces), octahedron (8 faces), dodecahedron (12 faces), and icosahedron (20 faces).Rate this question:
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- 6.
Which of the following is NOT a Platonic Solid?
- A.
Tetrahedron
- B.
Octahedron
- C.
Rhombohedron
- D.
Icosahedron
Correct Answer
C. RhombohedronExplanation
A rhombohedron is not a Platonic solid because it does not meet the criteria of having congruent faces, edges, and vertices. A rhombohedron is a parallelepiped with six congruent rhombus faces, but its edges and vertices are not all congruent. In contrast, a Platonic solid, such as a tetrahedron, octahedron, or icosahedron, has congruent faces, edges, and vertices, making it a regular polyhedron.Rate this question:
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- 7.
In the topic of polyhedrons and polygons, "regular" means
- A.
They are shaped correctly
- B.
They have more than six faces
- C.
All edges are equal length
- D.
All faces are equilateral triangles
Correct Answer
C. All edges are equal lengthExplanation
In the topic of polyhedrons and polygons, the term "regular" refers to shapes where all edges are of equal length. This means that every side of the shape has the same measurement, resulting in a symmetrical and balanced structure. The other options mentioned, such as being shaped correctly or having a specific number of faces, do not accurately define what it means for a shape to be "regular" in this context.Rate this question:
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- 8.
The shape in the diagram below is not a regular polyhedron because it has
- A.
More than four faces
- B.
Faces that are different shapes
- C.
Edge angles less than 60 degrees
- D.
Edges that are all the same length
Correct Answer
B. Faces that are different shapesExplanation
The shape in the diagram is not a regular polyhedron because it has faces that are different shapes. A regular polyhedron is a three-dimensional solid with faces that are all congruent regular polygons. In this case, the shape has faces that are not all the same shape, which means it does not meet the criteria to be classified as a regular polyhedron.Rate this question:
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- 9.
An architect want to make a skylight which has the shape of an icosahedron. She will need panes of glass which are
- A.
Triangular
- B.
Various sizes
- C.
Square
- D.
Hexagonal
Correct Answer
A. TriangularExplanation
The architect will need triangular panes of glass to create a skylight in the shape of an icosahedron. Since an icosahedron is a polyhedron with 20 triangular faces, it makes sense that triangular panes would be required. The other options, such as various sizes, square, or hexagonal, do not align with the shape of an icosahedron.Rate this question:
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- 10.
Which of the following shapes can NOT be fit together to make a regular polyhedron?
- A.
Octagon
- B.
Pentagon
- C.
Square
- D.
Triangle
Correct Answer
A. OctagonExplanation
An octagon cannot be fit together with other shapes to make a regular polyhedron because a regular polyhedron is made up of identical regular polygons, and an octagon is not a regular polygon. A regular polygon has all sides and angles equal, while an octagon has sides and angles of different lengths and measures. Therefore, it is not possible to create a regular polyhedron using octagons.Rate this question:
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- 11.
The prefix "poly" means
- A.
Bird
- B.
Plastic
- C.
Many
- D.
Shape
Correct Answer
C. ManyExplanation
The prefix "poly" is derived from the Greek word "polys" which means "many." It is commonly used in English to indicate a large quantity or a variety of something. For example, words like "polygamy" (having multiple spouses) or "polysyllabic" (having many syllables) use this prefix to convey the meaning of "many." Therefore, the correct answer is "many."Rate this question:
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- 12.
What is another name for a cube?
- A.
Tetrahedron
- B.
Hexahedron
- C.
Octahedron
- D.
Decahedron
Correct Answer
B. HexahedronExplanation
A hexahedron is another name for a cube. A cube is a three-dimensional shape with six equal square faces. A hexahedron is a polyhedron with six faces, and in the case of a cube, all the faces are squares. Therefore, hexahedron is the correct answer as it accurately describes the shape of a cube.Rate this question:
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Jan 31, 2024Quiz Edited by
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Jul 29, 2007Quiz Created by
Dlurie5
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