Viewing Sections of a Solid by Slicing or Cutting

Q.

The surface areas of two spheres are in the ratio$16:9$. The ratio of their volumes is :

1. $64:27$

2. $16:9$

3. $4:3$

4. ${16}^3:9^3$

Q.

What cross-sections do you get when you give a: (i) vertical cut (ii) horizontal cut to the following solids?

(a) A brick
(b) A round apple
(c) A die
(d) A circular pipe
(e) An ice-cream cone.

Q. What is the shape of the cross-section obtained when you horizontally cut the wooden piece given below?

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

Q. The vertical cross section of a cylinder is a

1. Circle
2. Rectangle
3. Triangle

Q.

What cross-section do you get when you give a (a) vertical cut (b) horizontal cut to the following object?

an ice cream cone

Q.

Question 27
Take a square piece of paper as shown in figure (1). Fold it along its diagonals as shown in figure (2). Again fold it as shown in figure (3). Imagine that you have cut off 3 pieces of the form of the congruent isosceles right-angled triangle out of it as shown in figure (4).

On opening the piece of paper which of the following shapes will you get?

a)

b)

c)

d)

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

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

Q. The shape of the cross-section obtained when you horizontally cut the square pyramid given below is .

1. cube
2. rectangle
3. square

Q.

Question 16
When we cut a corner of a cube as shown in the figure, we get the cutout piece as

a) Square pyramid

b) Trapezium prism

c) Triangular pyramid

d) A triangle

Q.

What cross-sections do you get when you give a

(i) vertical cut (ii) horizontal cut

to the following solids?

(a) A brick (b) A round apple (c) A die

(d) A circular pipe (e) An ice cream cone

Q.

The figure given above contains the following 2-Dimensional shapes.

1. Only triangles

2. Both rectangle and triangle

3. None of these

4. Only rectangles

Q. Cross sectional shape of a cylinder perpendicular to its axis is

1. Square
2. Circle
3. Pentagon

Q.

Consider the figure of an opened die given below:

What is the value of D?

1. 1

2. 6

3. 3

4. 2

Q. What is the shape of the cross-section cut shown in the figure.

1. circle
2. triangle
3. semi-circle
4. trapezium

Q. What cross-sections do you get when you cut a brick vertically?

1. Triangle
2. Cube
3. Circle
4. None of these

Q. Find the two-dimensional cross-sections could we create by slicing a cube.

1. hexagon
2. octagon
3. heptagon
4. pentagon

Q. What cross-section do you get when you give a vertical cut to an ice cream cone through its vertex?

\( \triangle \)

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

Q. 43.how to calculate resonating structures of cyclic compund define with e.g. ??

Q.

Take a square piece of paper as shown in figure $ \left(1\right)$.

Fold it along its diagonals as shown in figure $ \left(2\right)$.

Again fold it as shown in figure $ \left(3\right)$.

Imagine that you have cut off $ 3$ pieces of the form of congruent isosceles right-angled triangles out of it as shown in figure $ 4$.

On opening the piece of paper which of the following shapes will you get?

(1) (2) (3) (4)

Q. Consider the figure: This is a regular die opened up.

What is the value of A?

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

Q. What is the cross-section view of triangular pyramid?

1. rectangle
2. triangle
3. circle
4. square

Q. What is the vertical cross-section of a solid cylindrical pipe shown in the figure?

1. An ellipse
2. A circle
3. A cylinder
4. A rectangle

Q. A square pyramid is cut along the shaded plane shown in the figure. Which of the following is the cross-section of this solid?

1. rectangle
2. square
3. triangle
4. circle

Q. Which of the following cross-sections will you get when you give a horizontal cut to a cylindrical rod ?

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

Q. What cross-sections do you get when you cut a brick horizontally?

1. Triangle
2. Circle
3. rectangle
4. None of these

Q. What cross-sections do you get when you cut a die vertically?

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

Q. What cross-sections do you get when you cut a candle horizontally?

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

Q. Name the cross-sections you get, when you give a vertical and a horizontal cut to the circular pipe.

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

Q. A cross section perpendicular to the base of a cylinder give us what two dimensional shape?

1. cone
2. circle
3. rectangle
4. square

Q. Which shape is the vertical section of the below image?

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