Chapter 6 : Visualising Solid Shapes

Example 1:A prism is a polyhedron whose lateral faces are
(a)Circles(b)Triangles
(c)Parallelograms(d)Rhombuses or Rhombi
Solution:Correct answer is (c).
Example 2:A pyramid is a polyhedron whose lateral faces are
(a)Rectangles(b)Triangles
(c)Parallelograms(d)Rhombuses or Rhombi
Solution:Correct answer is (b).

1.Which amongst the following is not a polyhedron?
(a)(b) (c) (d)
2.Which of the following will not form a polyhedron?
(a)3 triangles(b) 2 triangles and 3 parallelogram
(c)8 triangles(d) 1 pentagon and 5 triangles
3.Which of the following is a regular polyhedron?
(a)Cuboid(b)Triangular prism
(c)Cube(d)Square prism
4.Which of the following is a two Dimensional figure?
(a)Rectangle(b)Rectangular Prism
(c)Square Pyramid(d)Square Prism
5.Which of the following can be the base of a pyramid?
(a)Line segment (b)Circle(c)Octagon(d)Oval
6.Which of the following 3D shapes does not have a vertex?
(a)Pyramid(b)Prism(c)Cone(d)Sphere
7.Solid having only line segments as its edges is a
(a)Polyhedron(b) Cone(c) Cylinder(d) Polygon

8.In a solid if F = V = 5, then the number of edges in this shape is
(a)6(b)4(c)8(d)2
9.Which of the following is the top view of the given shape?
(a)(b) (c)(d)
10.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
11.Which of the nets given below will generate a cone?
(a)(b) (c)(d)
12.Which of the following is not a prism?
(a)(b) (c)(d)
13.We have 4 congruent equilateral triangles. What do we need more to make a pyramid?
(a)An equilateral triangle.
(b)A square with same side length as of triangle.
(c)2 equilateral triangles with side length same as triangle.
(d)2 squares with side length same as triangle.
14.Side of a square garden is 30 m. If the scale used to draw its picture is 1cm: 5m, the perimeter of the square in the picture is
(a)20 cm(b)24 cm(c)28 cm(d)30 cm
15.Which of the following shapes has a vertex.
(a)(b) (c)(d)
16.In the given map, the distance between the places is shown using the scale 1 cm : 0.5 km. Then the actual distance (in km) between school and the book shop is
(a)1.25(b)2.5(c)2(d)1.1
17.Which of the following cannot be true for a polyhedron?
(a)V = 4, F = 4, E = 6(b)V = 6, F = 8, E = 12
(c)V = 20, F = 12, E = 30(d)V = 4, F = 6, E = 6
18.In a blueprint of a room, an architect has shown the height of the room as 33 cm. If the actual height of the room is 330 cm, then the scale used by her is
(a)1:11(b)1:10(c)1:100(d)1:3
19.The following is the map of a town. Based on it answer question 19-21. The number of hospitals in the town is
(a)1(b)2(c)3(d)4

20.The ratio of the number of general stores and that of the ground is
(a)1 : 2(b)2 : 1(c)2 : 3(d)3 : 2
21.According to the map, the number of schools in the town is
(a)4(b)3(c)5(d)2
Fill in the blanks to make the statements true.
22.Square prism is also called a _______.
23.Rectangular prism is also called a ________.
24.In the figure, the number of faces meeting at B is ________.
25.A pyramid on an n sided polygon has ______ faces.
26.If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ______.
27.The given net can be folded to make a ______.
28.A solid figure with only 1 vertex is a ______.
29.Total number of faces in a pyramid which has eight edges is______.
30.The net of a rectangular prism has ______ rectangles.

31.In a three-dimensional shape, diagonal is a line segment that joins two vertices that do not lie on the ______ face.
32.If 4 km on a map is represented by 1 cm, then 16 km is represented by ______ cm.
33.If actual distance between two places A and B is 110 km and it is represented on a map by 25 mm. Then the scale used is ______.
34.A pentagonal prism has ______ faces.
35.If a pyramid has a hexagonal base, then the number of vertices is ______.
36. is the _______ view of
37.The number of cubes in are ______.
38.If the sum of number of vertices and faces in a polyhedron is 14, then the number of edges in that shape is ______.
39.Total number of regular polyhedra is ______.