Question

Choose the correct alternative to the following question:

The figure which has $5$ vertices, $8$ edges, and $5$ faces is:

• A. rectangular pyramid
• B. cone
• C. triangular pyramid
• D. triangular prism

Answer 1

The correct option is A

rectangular pyramid

Step $1$: Explanation for the correct option :

Option $\mathrm{A}$ : A rectangular pyramid is shown below:

From the figure, it is clear that a rectangular pyramid has $5$ vertices, $8$ edges, and $5$ faces.

Step $2$: Explanation for incorrect option :

Option $\mathrm{B}$, $\mathrm{C}$ and $\mathrm{D}$ are incorrect.

Option $\mathrm{B}$ : A cone is shown below:

From the figure, it is clear that a cone has $1$ vertex, $1$ edge, and $2$ faces.

Option $\mathrm{C}$ : A triangular pyramid is shown below:

From the figure, it is clear that a triangular pyramid has $4$ vertices, $6$ edges, and $4$ faces.

Option $\mathrm{D}$ : A triangular prism is shown below:

From the figure, it is clear that a triangular prism has $6$ vertices, $9$ edges, and $5$ faces.

Hence option $\mathrm{A}$ is the correct option.