Which of the following will not form a polyhedron?

1

(a)

3 triangles

(b)

2 triangles and 3 parallelogram

(c)

8 triangles

(d)

1 pentagon and 5 triangles

Which of the following 3-D shapes does not have a vertex?

1

(a)

Pyramid

(b)

Cone

(c)

Sphere

(d)

Prism

Which of the following is a regular polyhedron?

1

(a)

Cube

(b)

Triangular prism

(c)

Square prism

(d)

Cuboid

Side of a square garden is 40 m. If the scale used to draw its picture is 1 cm: 8 m, then the perimeter of the square in the picture is

1

(a)

15 cm

(b)

25 cm

(c)

20 cm

(d)

32 cm

 is the ________ view of above solid.

1

(a)

front

(b)

side

(c)

top

Which of the following is the number of vertices of sphere?

1

(a)

0

(b)

1

(c)

2

(d)

4

Square prism is also called a ............

1

(a)

∵ A prism is a polyhedron that has two parallel, congruent bases. The bases can be any polygon. So, a square prism is called a cube.

A ........ has 7 faces.

1

(a)

A pentagonal prism have 7 faces. Since, in a prism, there are two parallel congruent bases.

is the ....... view of

1

(a)

The given figure is the top view of hut.

A cuboid has ______ faces, ______ edges and vertices.

1

(a)

6, 12, 8

If a pyramid has a hexagonal base, then the number of vertices is 7.

1

(a) False

(b) True

A prism is a polyhedron that has two parallel, congruent bases, whereas a pyramid is a polyhedron that has one base.

1

(a) False

(b) True

A polyhedron has 3 faces.

1

(a) True

(b) False

A polyhedron with least number of faces is known as triangular pyramid.

1

(a) False

(b) True

Total number of regular polyhedron is 4.

1

(a) True

(b) False

The given solid, the three views are given. Identify for each solid the corresponding top, front and side views.

2

(a)

For each given solid, identify the top view, front view and side view.

2

(a)

Draw the front, side and top views of the given shapes.

2

(a)

Draw two figures for each 1-D, 2-D and 3- D.

2

(a)

The width and length of a rectangular board is 50 cm and 60 cm, respectively. A student has to draw its image on his notebook. While drawing the image on notebook, he takes the scale 1 : 10, then what is the length and width of the rectangular board on the notebook?

2

(a)

Look at the map given below:
Houses
B Town, India

On which road, bank is situated?

2

(a)

Height of a building is 18 m and this building is represented by 18 cm on a map. What is the scale used for the map?

2

(a)

In the formula F + V - E = 2, on putting F = 40 and E = 60, find the value of V.

2

(a)

Can a polyhedron have 10 faces, 20 edges and 15 vertices?

3

(a)

Verify which of the following are the faces, edges and, vertices of a polyhedron. 
(i) Faces = 10, edges = 20 and vertices = 15
(ii) Faces = 7, edges = 5and vertices = 4
(iii) Faces = 4, edges = 6 and vertices = 4
(iv) Faces= 5, edges = 4 and vertices = 3

3

(a)

Mr. David travelling by bus between city A and B. Due to some technical problem in GPS of bus, the driver get confused. Then the driver asked to all the passengers 'Does anyone have a manual map of distance between city A and B. Mr. David reply with polite manner 'Yes, I have'. He gave him manual map. In the manual map, the distance between city A and B on a map is given as 6 cm. If the scale represents 1 cm = 300 km, then find the actual distance between city A and B. What value depict from this question?

4

(a)

Draw the net of the following cuboid:

 

4

(a)

What is Euler's formula? Verify the Euler's formula for a pentagonal prism.

5

(a)

Look at the given map of a city.

Answer the following questions:
(a) Colour the map as follows: Blue-water, Red-fire station, Orange-library, Yellow-school, Green-park, Pink-college, Purple-hospital, Brown- cemetery.
(b) Mark a green 'X' at the intersection of road 'C' and Nehru Road, Green 'V' at the intersection of Gandhi Road and road 'A'.
(c) In red, draw a short street route from library to the bus depot.
(d) Which is further East, the city park or the market?
(e) Which is further South, the primary school or the Sr. Secondary School?

5

(a)