3D Objects(Face, Vertex, Edge, Net)

Q. A polyhedron has 12 faces and 30 edges. Find the number of vertices.

1. 20
2. 50
3. 30
4. 10

Q.

What is the meaning of surmounted in Mathematics?

Q. Question 7
Using Euler's formula, find the unknown:
$\begin{array}{cccc}Faces& ?& 5& 20\\ Vertices& 6& ?& 12\\ Edges& 12& 9& ?\end{array}$

Q. How many edges does a match-box have?

1. 12

Q.

The corners of a solid shape are called its _________; the line segments of its skeleton are called its ___________; and its flat surfaces are its ________. The respective blanks should be filled by:

1. edges, faces, vertices

2. vertices, edges, faces

3. vertices, faces, edges

4. faces, edges, vertices

Q.

A brick is a _____________ dimensional object.

Q. If the light from a torch is focused right above a cone, what would be the shape of the shadow formed below the cone?

1. Triangle
2. Circle
3. Point
4. Semicircle

Q. Find the number of edges and vertices of the given figure.

1. Edges= 6 , Vertices =12
2. Edges= 12 , Vertices =6
3. Edges= 10 , Vertices =12
4. Edges= 6 , Vertices =8

Q. The number of vertices of a shape having 6 faces and 10 edges is

1. 6
2. 7
3. 5

Q.

The points of intersection of the edges of a 3 dimensional solid are called its ____ .

1. Faces

2. Vertices

3. Bases

4. Edges

Q. According to Euler's formula, what is the value of (E + F + V) for the given $3$-D structure?

1. 36

Q. In which of the following shapes, length = breadth = height ?

1. Cube
2. Cuboid
3. Rectangular prism
4. Cone

Q.

Using Euler's formula, find the value of
(F + V - E ) for the given figure.

1. 2

Q. Find the sum of the number of vertices, faces, and edges in the given solid.

1. 34
2. 32
3. 36
4. 38

Q. The skeleton outline of a solid on $2-D$ surface is called:

1. Opaque
2. Oblique sketch
3. Isometric sketch
4. Net

Q. What cross-section do you get when you give a horizontal cut to a upright cone?

1. Square
2. Rectangle
3. Triangle
4. Circle

Q. Find the sum of the number of vertices, faces, and edges in the given solid.

Q.

Using Euler's formula, find the unknown. [4 MARKS]

$\begin{array}{cccc}\text{Faces}& ?& 5& 20\\ \text{Vertices}& 6& ?& 12\\ \text{Edges}& 12& 9& ?\end{array}$

Q.

Using Euler's formula complete the following table.
[4 MARKS]
$\begin{array}{ccc}\text{Faces}& \text{Vertices}& \text{Edges}\\ 10& 10& ?\\ 8& ?& 18\\ 6& 8& ?\\ ?& 5& 8\\ 12& ?& 19\end{array}$

Q.

What can be cut out from a piece of paper and folded to make the 3-dimensional figure?

1. A sphere

2. A prism

3. A pyramid

4. A Net

Q.

What is the key feature of a sphere? How many faces, corners and edges does a sphere have? [2 MARKS]

Q. Which of the following is not an example for 3-D figure?

1. Cuboid
2. Cube
3. Triangle
4. Sphere

Q. Find the sum of the number of curved edges and curved faces in a cylinder.

1. 5
2. 4
3. 3
4. 2

Q. The number of vertices of a shape having 6 faces and 10 edges is

1. 5
2. 6
3. 7

Q.

Which of these are 3 dimensional objects?

1. Coffee Mug

2. Birthday Hat

3. book

4. A page from your notebook

Q. How many possible nets of a cube can be drawn?

1. 11

Q.

In the above figure,
(i) represents a/an ___,
(ii) represents a/an ___ and
(iii) represents a/an ___.

1. face, edge and vertex respectively.

2. edge, face and vertex respectively.

3. face, vertex and edge respectively.

4. vertex, edge and face respectively.

Q. Find the sum of the number of edges and faces in a cylinder.

1. 5
2. 4
3. 3
4. 1

Q. Which of the following is/are true regarding a solid?

1. It has three dimensions
2. It has infinite dimensions
3. It has a volume
4. A solid has neither area nor volume

Q.

When the shadow of the Rubik's cube was projected, the shape of the polygon formed on the wall is __.