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Flashcards on I Poliedri e le sue Proprietà
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What is a polyhedron?
A solid figure with flat faces and straight edges.
How many faces does a cube have?
A cube has 6 faces.
What is the formula to find the sum of the interior angles of a polyhedron?
The sum of the interior angles of a polyhedron is given by the formula (2n - 4) * 90 degrees, where n is the number of faces.
What is an edge?
An edge is the line segment formed by the intersection of two faces of a polyhedron.
Which polyhedron has exactly 5 faces, 8 edges, and 5 vertices?
A pentagonal pyramid.
What is a vertex?
A vertex is a corner where three or more faces of a polyhedron meet.
Which polyhedron has exactly 12 faces, 20 vertices, and 30 edges?
An icosahedron.
How many edges does a triangular prism have?
A triangular prism has 9 edges.
What is the relationship between the number of vertices, edges, and faces of a polyhedron?
The relationship is given by the formula V + F = E + 2, where V is the number of vertices, F is the number of faces, and E is the number of edges.
How many vertices does a dodecahedron have?
A dodecahedron has 20 vertices.
Which polyhedron has exactly 8 faces, 12 edges, and 6 vertices?
A cube.
What is a regular polyhedron?
A regular polyhedron is a polyhedron whose faces are congruent regular polygons and whose polyhedral angles are all congruent.
How many faces does a tetrahedron have?
A tetrahedron has 4 faces.
What is an isosceles triangle?
An isosceles triangle is a triangle that has two sides of equal length.
What is the relationship between the number of faces and vertices of a convex polyhedron?
The relationship is given by the formula F + V = 2, where F is the number of faces and V is the number of vertices.
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Test Your Knowledge
What is a polyhedron?
A solid figure with flat faces and straight edges.
A figure with curved faces and edges.
A figure with no faces and edges.
A figure with one face and no edges.
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How many faces does a cube have?
4
6
8
12
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What is an edge?
The line segment formed by the intersection of two faces of a polyhedron.
The point where three or more faces of a polyhedron meet.
The flat surface of a polyhedron.
The measure of the interior angles of a polyhedron.
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Which polyhedron has exactly 5 faces, 8 edges, and 5 vertices?
Octahedron
Cuboid
Prism
Pentagonal Pyramid
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What is a vertex?
The line segment formed by the intersection of two faces of a polyhedron.
The point where three or more faces of a polyhedron meet.
A corner where three or more faces of a polyhedron meet.
The measure of the interior angles of a polyhedron.
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How many edges does a triangular prism have?
3
4
6
9
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Which polyhedron has exactly 12 faces, 20 vertices, and 30 edges?
Tetrahedron
Dodecahedron
Prism
Icosahedron
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How many vertices does a dodecahedron have?
8
20
30
40
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What is a regular polyhedron?
A polyhedron whose faces are congruent regular polygons and whose polyhedral angles are all congruent.
A polyhedron with no faces and edges.
A polyhedron with curved faces and edges.
A polyhedron with one face and no edges.
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What is an isosceles triangle?
A triangle that has two sides of equal length.
A triangle that has all sides of different lengths.
A triangle that has all angles less than 90 degrees.
A triangle that has one angle of 180 degrees.
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What is the relationship between the number of faces and vertices of a convex polyhedron?
F + V = 0
F + V = 2
F + V = E
F + V = 1
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