Tag: polyhedrons

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Questions Related to polyhedrons

Multiple choice polyhedrons visualising solid shapes maths

Solid figures with line segments as their edges are called:

  1. polygons

  2. squares

  3. cylinders

  4. polyhedrons
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Solid figures with line segments as their edges are called  Polyhedrons

Multiple choice polyhedrons visualising solid shapes maths

What do you call solid figures having only line segments as their edges?

  1. Polygons

  2. Squares

  3. Cylinders

  4. Polyhedrons
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Solid figures having only line segments as their edges are called polyhedrons.

Multiple choice polyhedrons visualising solid shapes maths

State true or false
Sphere has one surface

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A sphere is defined as the set of points at a fixed distance from a center, forming a single continuous curved surface.

Multiple choice polyhedrons visualising solid shapes maths

State true or false
Tetrahederan is  the polyhedron which has four vertices, four faces

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A tetrahedron is a triangular pyramid, which has 4 triangular faces, 4 vertices, and 6 edges.

Multiple choice polyhedrons visualising solid shapes maths

Can a polyhedra have $4$ triangular faces only? explain

  1. Yes

  2. No

  3. Depends on meaurement

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A tetrahedron is a polyhedron with exactly 4 triangular faces.

Multiple choice polyhedrons visualising solid shapes maths

Can a polyhedra have 3 triangular faces only? explain.

  1. No

  2. Yes

  3. Depends on meausrement

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A polyhedron must be a closed 3D solid. At least 4 faces are required to enclose a volume in 3D space.

Multiple choice polyhedrons visualising solid shapes maths

State true or false

Sphere is  the solid object which has no vertex

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A sphere is a perfectly round geometrical object in 3D space where all points on the surface are equidistant from the center and has no vertices or edges.

Multiple choice polyhedrons visualising solid shapes maths

Can a polyhedra have $10$ faces, $20$ edges and $15$ vertices?

  1. Yes

  2. No

  3. Depends on dimension

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Euler's formula for polyhedra is V - E + F = 2. For F = 10, E = 20, V = 15: 15 - 20 + 10 = 5. Since 5 is not equal to 2, such a polyhedron cannot exist.

Multiple choice polyhedrons visualising solid shapes maths

State true or false
Cube is a regular polyhedron where cuboid is not.

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A cube is a regular polyhedron because all its faces are congruent regular polygons (squares) and the same number of faces meet at each vertex. A cuboid is not regular because its faces are not necessarily congruent squares.

Multiple choice polyhedrons visualising solid shapes maths

State true or false
Cube ,cuboid have same number of edges, vertices and faces?

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Both a cube and a cuboid have 6 faces, 12 edges, and 8 vertices.