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

We have 4 congruent equilateral triangles. What do we need more to make a pyramid?

1

(a)

An equilateral triangle

(b)

A square with same side length as of triangle

(c)

2 squares with side length same as triangle

(d)

2 equilateral triangles with side length same as triangle

Which of the following is a regular polyhedron?

1

(a)

Cube

(b)

Triangular prism

(c)

Square prism

(d)

Cuboid

Which of the following cannot be true for a polyhedron?

1

(a)

V= 4, F = 6 and E = 6

(b)

V=20,F=12 and E=30

(c)

V =16, F =18 and E = 32

(d)

V = 4, F = 4 and E = 6

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

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 cone is a solid figure with only ....... vertex.

1

(a)

A cone is a solid figure with only one vertex

The net of a ....... has 6 rectangles.

1

(a)

The net of a rectangular prism has 6 faces as 6 rectangles.

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

1

(a)

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

A ......depicts the location of a particular object/place in relation to other objects/places.

1

(a)

A map depicts the location of a particular object/place in relation to other objects/places.

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

1

(a) False

(b) True

If the sum of number of vertices and faces in a polyhedron is 16, then the number of edges in that shape is 12.

1

(a) True

(b) False

The other name of a cuboid is tetrahedron.

1

(a) True

(b) False

A cuboid has atleast 4 diagonals.

1

(a) False

(b) True

In a three-dimensional shape, diagonal is a line segment that joins two vertices that do not lie on the same face.

1

(a) False

(b) True

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

2

(a)

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

2

(a)

Find the scale, it actual size is 45 feet, drawing size is 5 inches.

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)

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)

Find the number of bases and faces in a Rectangular pyramid

3

(a)

Find the number of bases and faces in a Hexagonal pyramid

3

(a)

How many vertices does the following solids have?
Hexagonal prism

3

(a)

Find the number of faces in the given shapes.

3

(a)

What happens to F, V and E, if some parts are sliced off from a solid? (To start with, you may take a plasticine cube, cut a corner off and investigate.)

5

(a)

Use isometric dot paper, to sketch a rectangular prism with length 4 units, height 2 units and width 3 units

5

(a)