Question

A match box is an example of:

(a)Cone
(b)Cuboid
(c)Cube
(d)Sphere

Answer 1

Hint: By seeing the definitions of each and every option check which of them matches with the image of matchbox.

Complete step-by-step answer:
Rectangular Cuboid: A rectangular cuboid is a 3- D geometrical solid figure. It is bounded by six rectangular faces, facets or sides, with three of them converging at each vertex. The cuboid has 6 faces, 12 edges, and 8 vertices. The vertices are also called corners. As the faces of cuboid are rectangle the sides of cuboid are unequal in general. It comes under the group convex polyhedron.

Cube: A cube is a 3- D geometric solid figure. It is bounded by six square faces, facets or sides, with three of them converging at each vertex. The cube is one of the regular hexahedrons which has 6 faces, 12 edges, and 8 vertices. As we know it is formed by squares all the 12 edges of the cube are of equal length. The cube is the only convex polyhedron whose all faces are squares. We can say a cube is a cuboid with square faces.

Sphere: A sphere is a 3- D geometric solid figure. It has a surface of a ball. Like a circle in a 2- D sphere is also defined as the set of points that are at equal distance r from a given point, the only difference is this is in 3- D space. This particular distance is also called the radius of the sphere.

Cone: The 3- D shape formed by using a set of lines segments or lines to connect one single common point to all points of a circular base is called a cone. The common point is called apex or vertex. The distance from the apex to the circular base is called height of the cone.

As the match box has different lengths, 6 faces, 12 edges, and 8 vertices we can conclude it is cuboid.
Therefore the match box is an example of a cuboid.

Note: Don’t confuse cube and cuboid. A cube has all sides with equal lengths but the cuboid has unequal lengths.