Tag: visualising solid shapes

Questions Related to visualising solid shapes

Which of the following is not a polyhedron?

polyhedrons visualising solid shapes maths

  1. Cone

  2. Pyramid

  3. Prism

  4. Cylinder

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Correct Option: A,D
Explanation:

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

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

polyhedrons visualising solid shapes maths

  1. Possible

  2. Not possible

  3. Either

  4. Neither

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Correct Option: A
Explanation:

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

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

polyhedrons visualising solid shapes maths

  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. $\left[0, \dfrac{\pi}{2}\right]$

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Correct Option: A

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

polyhedrons visualising solid shapes maths

  1. a cylinder and a sphere

  2. a sphere and a cone

  3. a cylinder and a hemisphere

  4. a hemisphere and frustum cone

Show answer
Correct Option: D
Explanation:

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