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Practice each question, then open the answer or worked solution.
Which of the following is not a polyhedron?
Solution:-
(c)
By definition, a polyhedron is regular if its faces are congruent regular polygons and the same number of faces meet at each vertex.
Which of the following will not form a polyhedron?
(a) 3 triangles (b) 2 triangles and 3 parallelograms
(c) 8 triangles (d) 1 pentagon and 5 triangles
Solution:-
(a) 3 triangles
3 triangles will not form a polyhedron because it must have more than four faces. So, it is not possible in 3 triangles which have 3 faces only.
Which of the following is a regular polyhedron?
(a) Cuboid (b) Triangular prism
(c) Cube (d) Square prism
Solution:-
(c) Cube
Because, a cube is a platonic solid because all six of its faces are congruent squares.
Which of the following is a two Dimensional figure?
(a) Rectangle (b) Rectangular Prism
(c) Square Pyramid (d) Square Prism
Solution:-
(a) Rectangle
A rectangle is a two dimensional figure. It has length and breadth.
Which of the following can be the base of a pyramid?
(a) Line segment (b) Circle (c) Octagon (d) Oval
Solution:-
(c) Octagon
A pyramid is a polyhedron whose base is a polygon, and lateral faces are triangles.
Which of the following 3D shapes does not have a vertex?
(a) Pyramid (b) Prism (c) Cone (d) Sphere
Solution:-
Sphere.
The faces meet at edges which are line segments, and the edges meet at a point called vertex. Since a sphere has no vertex and no edges.
Solid having only line segments as its edges is a
(a) Polyhedron (b) Cone (c) Cylinder (d) Polygon
Solution:-
(a) Polyhedron
A polyhedron is formed by four or more polygons that intersect only at their edges. The faces of a regular polyhedron are all congruent regular polygons, and the same number of faces intersect at each vertex.
In a solid if F = V = 5, then the number of edges in this shape is
(a) 6 (b) 4 (c) 8 (d) 2
Solution:-
(c) 8
We have,
Euler’s formula for any polyhedron is, F + V – E = 2
Given, F = V = 5
Where, face (F) = 5, Vertex (V) = 5, Edge (E) =?
Then,
5 + 5 – E = 2
10 – E = 2
10 – 2 = E
Edges (E) = 8
Which of the following is the top view of the given shape?
Solution:-
(a)
The net shown below can be folded into the shape of a cube. The face marked with the letter L is opposite to the face marked with which letter?
(a) M (b) N (c) Q (d) O
Solution:-
(a) M
