Section of Solids - 4

  

Dear Students,

Good Morning and a warm welcome to today's class.

It feels really nice to meet up for yet another class this morning.
  

We will continue with the topic Section of Solids 

Topic: Section of Solids - 4

1. What is sectioning? 

When a solid object is cut by some imaginary cutting plane to understand internal details of that object, it is called as 'Sectioning the Object'. 

2. What is a section plane?

The plane that cuts the object in two parts, is called as the Section Plane.

3. Types of cutting planes.

Depending upon the inclination of the planes, there can be the follwoing cases.

a. Section plane parallel to HP

b. Section plane parallel to VP

c. Section plane inclined to HP

d. Section plane inclined to VP

4. Characteristics of cutting planes

a. A cutting plane parallel to the HP, is visible in the VP as a line

b. A cutting plane parallel to the VP, is visible in the HP as a line.

Exercise - Sections of Solids - 4

C. Section plane parallel to the VP

Q1. A square pyramid of base edge 30 mm and axis length 70 mm is placed on the HP on its square base. It is cut by a cutting plane parallel to VP 5 mm in front of its apex. Draw the section of the solid so obtained.

  

Q2. A hexagonal pyramid of base edge 40 mm and axis length 70 mm is placed on the HP with two of its base edges parallel to the VP. It is cut by a cutting plane parallel to VP 10 mm in front of its apex. Draw the section of the solid so obtained.

Q3. A pentagonal pyramid of base edge 40 mm and axis length 80 mm is placed on the HP with one of its base edges parallel to the VP. It is cut by a cutting plane parallel to VP 10 mm behind its apex. Draw the section of the solid so obtained.

Q4. A cone of diameter 30 mm and axis length 60 mm is placed on the HP on its circular face with its axis perpendicular to the HP. It is cut by a cutting plane parallel to VP and passing 10 mm in front of its centre. Draw the section of the solid so obtained.