Tag: polyhedrons

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Questions Related to polyhedrons

Multiple choice polyhedrons visualising solid shapes maths

Which of the following is not a polyhedron?

  1. Cone

  2. Pyramid

  3. Prism

  4. Cylinder
Reveal answer Fill a bubble to check yourself
A,D Correct answer
Explanation

Cone is not a polyhedron as it has a curved surface. Similarly cylinder also not a polyhedron.

Multiple choice polyhedrons visualising solid shapes maths

Is it possible to have a polyhedron with more than 4 faces? 

  1. Possible

  2. Not possible

  3. Either

  4. Neither
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

It is possible, only if the number of faces are greater than or equal to 4

Multiple choice polyhedrons visualising solid shapes maths

O ABC is a tetrahedron such that OA$=$OB$=$CO$=$K and $\angle AOB=\angle BOC =\angle COA =\theta$.

  1. $\left[\dfrac{\pi}{3}, \dfrac{2\pi}{3}\right]$
  2. $\left[0, \dfrac{2\pi}{3}\right]$
  3. $\left[\dfrac{\pi}{4}, \dfrac{\pi}{3}\right]$
  4. $\left[0, \dfrac{\pi}{2}\right]$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

In a tetrahedron OABC with OA=OB=OC=K and equal face angles theta at O, the dihedral angles and face angles are constrained by the geometry of the solid. The range of the face angle theta for such a tetrahedron is [pi/3, 2pi/3].

Multiple choice polyhedrons visualising solid shapes maths

A shuttle cock used for playing badminton has the shape of the combination of: 

  1. a cylinder and a sphere

  2. a sphere and a cone

  3. a cylinder and a hemisphere

  4. a hemisphere and frustum cone
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A shuttle cock has the shape of the combination of a hemisphere and a frustum cone.