Perspectives of Looking at a Solid

Q.

Verify Euler's formula for cylinder.

Q. A triangle is the smallest polygon with 3 sides, 3 vertices and 3 angles.

1. True
2. False

Q. Which of the following are the side view and the top view of a cylinder?

1. Rectangle and Circle
2. Sphere and Circle
3. Circle and Circle
4. Square and Circle

Q. How many square blocks can be inserted to make the given figure a cube?

1. 12
2. 16
3. 20
4. 14

Q.

Which of the following nets will fold to form a cube?

1. 

2. 

3. 

4. 

Q.

Which solid would you obtain if you rotate a right triangle about its height?

1. Cuboid

2. Cone

3. Cylinder

4. Cube

Q.

Draw the rough sketch of net of cuboid?

Q.

Choose the correct nets of a cube.

1. 

2. 

3. 

4. None of the above

Q. Draw the top, side and front views of the solid figure given below.

Q. \sqrt{7+\sqrt{48}} = \sqrt m+\sqrt n then m^2 + n^2

Q. The side view of a solid is a rectangle and it's top view is a triangle. Which of the following could be the described solid shape?

1. 
2. 
3. 
4. 

Q. Identical cubes are stacked in the corner of a room as shown below. The number of cubes that are not visible are _____.

Q.

The vectors $\overrightarrow{b}$ and $\overrightarrow{c}$ are in the direction of north-east and north-west respectively and $|\overrightarrow{b}|=|\overrightarrow{c}|=4$. The magnitude and direction of the vector $\overrightarrow{d}=\overrightarrow{c}-\overrightarrow{b},$ is

1. $4\sqrt{2}$, towards north

2. $4\sqrt{2}$, towards west

3. $4$, towards east

4. $4$, towards south

Q. The side view of a solid is a rectangle and it's top view is a triangle. Which of the following could be the described solid shape?

1. 
2. 
3. 
4. 

Q. If $ABCDEF$ is a regular hexagon with $\overrightarrow{AB}=\overrightarrow{a}$ and $\overrightarrow{BC}=\overrightarrow{b}$,
(where $|\overrightarrow{a}|=|\overrightarrow{b}|$) then $\overrightarrow{CE}$

1. $\overrightarrow{v}-\overrightarrow{b}$
2. $-\overrightarrow{b}$
3. $\overrightarrow{b}-2\overrightarrow{a}$
4. None of these

Q.

A person bought an ice cream cone shown in the above figure. Top view of the ice cream cone resembles a ___.

Q. A triangle is the smallest polygon with 3 sides, 3 vertices and 3 angles.

1. True
2. False

Q. Identical cubes are stacked in the corner of a room as shown below. The number of cubes that are not visible are _____.

Q. If a 3D solid has 8 faces and 8 vertices, find the number of edges in it.

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

Q.

A person bought an ice cream cone shown in the below figure. Top view of the ice cream cone resembles a

___

.

Q.

Name the polygon formed in the front side of the figure.

__

Q.

Find the top view of the figure below.

1. 

2. 

3. 

4. 

Q.

What is prism?

Q. The sides of a parallelogram are given by the vectors $(2,4,-5)$ and $(1,2,3)$ , then the unit vector parallel to one of the
diagonals is

1. $\frac{1}{7}(-3\hat{i}+6\hat{j}-2\hat{k})$
2. $\frac{1}{7}(3\hat{i}+6\hat{j}+2\hat{k})$
3. $\frac{1}{7}(3\hat{i}+6\hat{j}-2\hat{k})$
4. $\frac{1}{7}(3\hat{i}-6\hat{j}+2\hat{k})$

Q.

Find the top view of the figure below.

1. 

2. 

3. 

4. 

Q.

If $s=\frac{d}{t}$ and $d=105km$, $s=35\raisebox{1ex}{$km$}\!\left/ \!\raisebox{-1ex}{$hr$}\right.$, find $t$.

Q.

A prism standing on its base will always have same top and bottom views.

1. False

2. True

Q. Which one of the following solids can be formed using the net given?

1. 
2. 
3. 
4. 

Q. Which of the following are the side view and the top view of a cyclinder?

1. Square and Circle
2. Rectangle and Circle
3. Circle and Circle
4. Sphere and Circle

Q. Identical cubes are stacked in the corner of a room as shown below. The number of cubes that are not visible are _____.