CBSE Class 8 Mathematics Visualising Solid Shapes Assignment Set 02

Question. Which of the following is the net of a cone?

Answer : A

Question. Find the total number of faces in the following shape.

(A) 9
(B) 10
(C) 8
(D) 6
Answer : C

Question. Which of the following is NOT a three dimensional shape?
(A) Square prism
(B) Sphere
(C) Triangular pyramid
(D) Circle
Answer : D

Question. Number of faces, vertices and edges in the square pyramid are respectively ____.
(A) 4, 6, 12
(B) 7, 5, 10
(C) 5, 5, 8
(D) 4, 4, 6
Answer : C

Question. Which one of the following is the top view of the given figure?

Answer : A

Question. Solid having only line segments as its edges is a _________.
(A) Polyhedron
(B) Cone
(C) Cylinder
(D) Polygon
Answer : A

Question. Which of the following is NOT a polyhedron?

Answer : D

Question. Which of the following is top view of the given shape? 

Answer : B

Question. Euler’s formula for any polyhedron, where F stands for the number of faces, V stands for the number of vertices and E stands for the number of edges is ____.
(A) F + V + E = 2
(B) F – V + E = 2
(C) F + V – E = 2
(D) F – V – E = 2
Answer : C

Question. Which of the following CANNOT be true for polyhedron ?
(A) Faces = 4, Vertices = 4, Edges = 6
(B) Faces = 8, Vertices = 6, Edges = 12
(C) Faces = 5, Vertices = 1, Edges = 8
(D) Faces = 20, Vertices = 12, Edges = 30
Answer : C

Question. Number of edges in a triangular prism is ______.
(A) 9
(B) 6
(C) 5
(D) 8
Answer : A

Question. Fill in the blanks.
(i) A pyramid on an n-sided polygon has  P faces.
(ii) A rectangular prism has  Q  faces.

          P         Q                      R                   S 
(A) n + 2       8        rectangular prism        front
(B) n + 1       6        triangular prism          top
(C) n – 1       5       triangular pyramid       side
(D) n + 3       4       rectangular prism        top
Answer : B

Question. State ‘T’ for true and ‘F’ for false.
(i) Pentagonal prism has 5 pentagons
(ii) Euler’s formula is true for all three dimensional figures.
(iii) All cubes are prism.
(iv) A polyhedron with least number of faces is known as a triangular pyramid.
     (i)     (ii)    (iii)    (iv)
(A) F       T      T       F
(B) T       T      T       F
(C) F       T      F      T
(D) F       F      T      T
Answer : D

Question. Which of the following will not form a polyhedron?
(A) 1 square and 4 triangles
(B) 2 triangles and 3 rectangles
(C) 3 triangles
(D) 1 pentagon and 5 triangles
Answer : C

 Question. Match the following prisms given in Column-I with their respective nets (not drawn to scale) given in Column-II.

(A) P → (ii); Q → (iv); R → (i); S → (iii)
(B) P → (iv); Q → (i); R → (ii); S → (iii)
(C) P → (i); Q → (ii); R → (iii); S → (iv)
(D) P → (iii); Q → (i); R → (ii); S → (iv)
Answer : B

Question. Select the INCORRECT match.

Answer : B

Question. Which of the following is the net of a hexagonal prism?

Answer : A

Question. The number of faces in a square prism is _________.
(A) 4
(B) 6
(C) 8
(D) None of these
Answer : B

Question. If a polyhedron has 12 vertices and 8 faces, then the number of edges of the polyhedron is ______.
(A) 12
(B) 14
(C) 16
(D) 18
Answer : D

Question. Using Euler’s formula, find the values of P, Q, R and S respectively

(A) 8, 6, 24, 54
(B) 8, 6, 56, 22
(C) 6, 8, 24, 54
(D) 7, 8, 56, 22
Answer : A

Questions carrying 1 Mark each :-

Q.1 A joker cap looks like a ___________.

Q.2 A cuboid is ___________ dimensional.

Q.3 The top view of a cup is a pair of ___________.

Questions carrying 2 marks each:

Q.4 Give Euler's Formula.

Q.5 Write number of faces, number of vertices and number of edges of a cuboid.

Q.6 Can a polyhedron have 12 faces, 15 edges and 20 vetices? Explain.

Multiple choice Questions carrying 1 mark each:-

Q.7 The number of faces of a polyhedron if number of vertices are 6 and number of edges are 12 are:-

(a) 8 (b) 10 (c) 16 (d) 12

Q.8 The base of a square pyramid is

(a) Rectanular (b) square

(c) Triangular (d) None of these.