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Question

Which of the following can be the base of a pyramid?

(a) Line segment

(b) Circle

(c) Octagon

(d) Oval


A

Line Segment

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B

Circle

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C

Octagon

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D

oval

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Solution

The correct option is C

Octagon


Base of a pyramid.

The explanation for the correct option:

Option (C). Octagon

Determine the base of a pyramid.

A pyramid is defined as a three-dimensional polyhedron with a polygonal base and lateral faces are triangles that meet above at a common point above the base.

Consider the diagram for the octagonal pyramid as shown below:

From the diagram, observe that the base of the pyramid can possibly be an octagon because it is a polygon.

An octagon is a polygon with 8 sides, 8 angles, 8 vertices and 8 edges, where all of the sides are connected end to end to form a shape.

The diagram of the octagon is shown below:

Hence, option (C) is correct.

The explanation for the incorrect options:

Options (A), (B), and (D): The line segment, circle, and Oval have no polygon as a base on which polyhedron can be formed by joining the lateral surface on the side meeting at a common point above the base.

Therefore, options (A), (B), and (D) are incorrect Option

Hence, option (C) is correct.


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