Edges

Q.

How many edges must be removed from a connected graph with $\mathrm{n}$ vertices and $\mathrm{m}$ edges to produce a spanning tree?

Q. Find the number of vertices of a hexagonal prism.

1. 11
2. 12
3. 14
4. 13

Q. Question 74

Find the number of faces in the given shapes.

Q. A cube, designed on all faces is cut into 27 small solid cubes of equivalent size. What number of small cubes are designed on one face?

1. 0
2. 12
3. 6
4. 8

Q.

Define the following terms: [3 MARKS]

a. Vertices

b. Edges

c. Faces

Q.

Question 34
Fill in the blank to make statement true.
The common portion of two adjacent faces of a cuboid is called ___.

Q. A white-colored cube has a side length of 12 cm. Its faces are painted in six different colors (red, green, blue, orange, pink, and black). The cube is separated into unit cubes of side 1 cm. How many unit cubes will have two colors on any of their sides?

1. 80
2. 144
3. 120
4. 96

Q. What is polyhedon ?

Q.

Which of the following quantities are vectors.

1. 70 cm³
2. 5 m/s
3. 8m/s NE
4. 70 cm to the right
5. ${25}^{\circ }C$
6. 30N (force)

1. All of them

2. None of them

3. 1, 2, 5 and 6

4. 3, 4

Q. A cube, designed on all faces is cut into 27 small solid cubes of equivalent size. What number of small cubes are designed on one face?

1. 8
2. 6
3. 12
4. 0

Q.

State true or false. The number of edges in a cube is 10

1. False

2. True

Q.

A polyhedron with 7 faces and 10 vertices will have ______ edges

1. 2

2. 14

3. 19

4. 15

Q. The number of edges in a match-box is .

1. 8
2. 10
3. 12

Q. A polyhedron with 20 vertices and 30 faces, find the number of edges.
$\left[1Mark\right]$

Q. What is the shape of the cross-section obtained when you horizontally cut a square pyramid?

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

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

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

Q. A vector $\overrightarrow{a}$ has components 2p and 1 with respect to a rectangular cartesian system. This system is rotated through a certain angle about the origin in the counter clockwise sense. If, with respect to the new system. $\overrightarrow{a}$ has components p + 1 and 1, then

1. $p=1orp=-\frac{1}{3}$
2. $p=-1orp=\frac{1}{3}$
3. p = 0
4. $p=1orp=-1$

Q. What is the shape of the cross-section obtained when you horizontally cut a square pyramid?

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

Q. A buckyball has a minimum of ___vertices.

Q. The magnitude of the position vector of the point (3, 4) will be ___

Q.

I throw a ball with some force. The linear distance the ball covers is 30m. This physical quantity, distance of 30m is a vector quantity.

1. False

2. True

Q. Consider points $A,B,C$ and $D$ with position vectors
$(6,-4,7),(1,-6,10),(-1,-3,4)\text{and}(5,-1,5)$ respectively. Then quad $ABCD$ will have

1. four sides equal
2. three sides equal
3. two sides equal
4. all the sides unequal