Volume and Surface Area-Quantitative Aptitude

Quantitative Aptitude – Volume and Surface Area

In quantitative aptitude, one of the most important topic is “Volume and Surface Area”. This chapter is one of the important topic in competitive exams. Few questions will surely come from this topic.

So, you need to prepare this chapter very carefully. Learn the basic idea and basic formulas of Volume and Surface area. This will help you to solve the questions of volume and surface area in your exams.

Now, we will discuss the details of basic idea and formulas of this topic. Let’s starts-

What is Volume and Surface Area ?

Definition: Using Volume and Surface area we can measure the size of an object, specifically a 3D object.

So, basically we use this formulas to find out the size of 3D objects like, Cube, Cuboid, Cone, Cylinder, Sphere, Hemisphere etc.

Questions of this types are most common in competitive exams. To solve those questions, you need to learn the formulas of this topic. So, let’s explain the formulas of Volume and Surface area.

 

Formulas of Volume and Surface Area

Cube

Let the length of each edge of a Cube is x. Then,

A. Volume = x³ cubic units.

B. Surface area = 6x² square units.

C. Diagonal = √3x units.

 

Cuboid

Let length = l, breadth = b and height = h units. Then

A. Volume = (l x b x h) cubic units.

B. Surface area = 2(lb + bh + lh) square units.

C. Diagonal = √(l² + b² + h²) units.

 

Cylinder

Let Height or length = l and radius of base = r. then,

A. Volume = (Πr²l) cubic units.

B. Curved surface area = (2Πrl) square units.

C. Total surface area = 2Πr(l + r) square units.

 

Cone

Let radius of base = r and Height = h. then,

A. Slant height, l = √(h² + r²) units.

B. Volume = 1/3Πr²h cubic units.

C. Curved surface area = (Πrl) square units.

D. Total surface area = (Πrl + Πr²) square units.

 

Sphere

Let the radius of the sphere = r. then,

A. Volume = 4/3Πr³ cubic units.

B. Surface area = 4Πr² square units.

 

Hemisphere

Let the radius of a hemisphere = r. then,

A. Volume = 2/3Πr³ cubic units.

B. Curved surface area = (2Πr²) sq. units.

C. Total surface area = (3Πr²) sq. units.

Note: 1 liter = 1000 cm³.

 

So, this is the basic idea and basic formulas of Volume and Surface chapter. Now, if you have any questions or doubts in your mind, then please feel free to ask us here in www.AptitudeTricks.com. Our team member will answer your questions and clear your doubts.