Mathematics - Visualising Solid Shapes
Exam Duration: 45 Mins Total Questions : 20
Which of the following is NOT a polyhedron?
- (a)
- (b)
- (c)
- (d)
Which of the following is top view of the given shape?
- (a)
- (b)
- (c)
- (d)
Which of the following is NOT a three dimensional shape?
- (a)
Square prism
- (b)
Sphere
- (c)
Triangular pyramid
- (d)
Circle
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
Which of the following is the net of a cone?
- (a)
- (b)
- (c)
- (d)
Find the total number of faces in the following shape
- (a)
9
- (b)
10
- (c)
8
- (d)
6
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
Which of the following is the net of a hexagonal prism?
- (a)
- (b)
- (c)
- (d)
None of these
The number of faces in a square prism is _______
- (a)
4
- (b)
6
- (c)
8
- (d)
None of these
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
Which one of the following is the top view of the given figure?
- (a)
- (b)
- (c)
- (d)
Solid having only line segments as its edges is a ______
- (a)
Polyhedron
- (b)
Cone
- (c)
Cylinder
- (d)
Polygon
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
Number of edges in a triangular prism is _____
- (a)
9
- (b)
6
- (c)
5
- (d)
8
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
Using Euler's formula, find the values of P, Q, Rand S respectively
Faces | 6 | 5 | 20 | 14 |
---|---|---|---|---|
Vertices | P | Q | 36 | R |
Edges | 12 | 9 | S | 36 |
- (a)
8, 6, 24, 54
- (b)
8, 6, 56, 22
- (c)
6, 8, 24, 54
- (d)
7, 8, 56, 22
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)
Select the INCORRECT match.
- (a)
- (b)
- (c)
- (d)
Fill in the blanks.
(i) A pyramid on an n-slded polygon has P faces.
(ii) A rectangular prism has Q faces
(iii) The net can be folded to make a R
(iv)is the S view of
- (a)
P Q R S n+2 8 rectangular prism frot - (b)
P Q R S n+1 6 triangular prism top - (c)
P Q R S n - 1 5 triangular pyramid side - (d)
P Q R S n + 3 4 rectangular prism top
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.
- (a)
(i) (ii) (iii) (iv) F T T F - (b)
(i) (ii) (iii) (iv) T T T F - (c)
(i) (ii) (iii) (iv) F T F T - (d)
(i) (ii) (iii) (iv) F F T T