Which of the following can be the base of a pyramid?
(a) Line segment
(b) Circle
(c) Octagon
(d) Oval

Solution:

We have to find which option can be the base of a pyramid.

A pyramid is a polyhedron whose base is a polygon and lateral faces are triangles.

From the given figure, the base of a pyramid must be a polygon.

Polygons are defined as plane (two-dimensional) and closed shapes that are formed by joining three or more line segments with each other.

A single line segment cannot be considered as a polygon.

Circle and oval are not polygons as they are curved and not formed by straight lines.

Octagon is a two dimensional figure made up of 8 sides and 8 angles.

Therefore, an octagon is a polygon.

✦ Try This: Which of the following cannot be the base of a pyramid? (a) Pentagon, (b) Circle, (c) Octagon, (d) Hexagon

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 10

NCERT Exemplar Class 8 Maths Chapter 6 Problem 5

Which of the following can be the base of a pyramid? (a) Line segment, (b) Circle, (c) Octagon, (d) Oval

Summary:

An octagon can be the base of a pyramid.

☛ Related Questions:

• Which of the following 3D shapes does not have a vertex? (a) Pyramid, (b) Prism, (c) Cone, (d) Spher . . . .
• Solid having only line segments as its edges is a (a) Polyhedron, (b) Cone, (c) Cylinder, (d) Polygo . . . .
• In a solid if F = V = 5, then the number of edges in this shape is (a) 6, (b) 4, (c) 8, (d) 2