# Volume & Surface Area Tricks-Notes & Questions

Contents

## Volume,Surface area & Area- Tricks,Tips & Shortcuts

In this,we will study the topic “Volume & Area” .Solve the exercise with the tricks & tips and shortcuts on the MCQs type questions. Also, see the proper examples and full explanation. Candidates preparing for IBPS bank exam (Clerk,PO,SO) can also download these “must have notes” in the PDF format.

### Important formulas for Area

1.  Area of a rectangle = (Length x Breadth).
2. Perimeter of a rectangle = 2(Length + Breadth).
3.  Area of a square = (side)2 =$\frac { 1 }{ 2 }$ (diagonal)2.
4.  Area of 4 walls of a room = 2 (Length + Breadth) x Height.
5.  Area of a triangle = $\frac { 1 }{ 2 }$ x Base x Height.
6. Area of a triangle = $\sqrt { s(s-a)(s-b)(s-c) }$where a, b, c are the sides of the triangle and s = $\frac { 1 }{ 2 }$(a + b + c).
7.   Area of an equilateral triangle = $\cfrac {\sqrt { 3 } }{ 4 }$ x(side)²
8.  Radius of incircle of an equilateral triangle of side a =$\frac { a }{ 2\sqrt { 3 }}$
9. Radius of circumference of an equilateral triangle of side a=$\frac { a }{ \sqrt { 3 }}$
10. Area of a parallelogram=Base x height
11. Area of a rhombus=$\frac { 1 }{ 2 }$ x product of diagonals.
12. Area of trapezium  =$\frac { 1 }{ 2 }$ x (sum of parallel sides) x distance between them.
13. Area of a circle= Π${ R }^{ 2 }$
14. Circumference of a circle=2ΠR
Also Read:  IBPS SO HR Syllabus & Exam Pattern 2016 (Specialist Officer)

### Formula for volume & surface area

 S.No. Shape Formula 1. Cuboid Let Length=l,Breadth=b,Height=h units Volume=Length x Breadth x height units Surface Area=2(lb+bh+hl) units Diagonal=$\sqrt { { l }^{ 2 }+{ b }^{ 2 }{ +{ h }^{ 2 } } }$ 2. Cube Let length of a side of a cube=a units Volume=${ a }^{ 3 }$ units Surface Area=$6{ a }^{ 2 }$ units Diagonal=$\sqrt { 3 } a$ units 3. Cylinder Let radius of a base=r and height =h units Volume=Π${ r } ^{ 2 }h$ units Total Surface Area=2Π${ r\left( h+r \right) }$ sq.units Curved Surface Area=2Π${ rh }$ sq.units 4. Cone Let radius of a base=r and height =h units Volume=$\frac { 1 }{ 3 }$ Π${ {r }^{ 2 }h }$ cubic units Slant height,l =$\sqrt { \left( { h }^{ 2 }+{ r }^{ 2 } \right)}$ units Curved Surface Area=Π${ rl }$ sq.units Total Surface Area=Π${ rl }$ +Π${ { r }^{ 2 } }$ sq.units 5. Sphere Let radius of sphere =r units Volume=$\frac { 4 }{ 3 }$ Π${ { r }^{ 3 } }$ cubic units. Surface Area=4Π${ { r }^{ 2 } }$ sq. units 6. Hemisphere Let radius of hemisphere =r units Volume=$\frac { 2 }{ 3 }$Π${ r } ^{ 3 }$ cubic units Curved Surface Area=2Π${ { r }^{ 2 } }$  sq.units Total Surface Area=3Π${ { r }^{ 2 } }$ sq.units

### Things to remember

1. 1 litre=1000${cm }^{ 3 }$.
2. Sum of all angles of a triangle is ${ 180 }^{ o }$
3. Pythagoras Theorem=${\left( Hypotenuse \right)}^{ 2 }={\left( Base \right)}^{ 2 }+{ \left( Perpendicular \right)}^{ 2 }$.
4. The sum of two sides of a triangle is greater than the third side.

Following are the Surface Area & volume questions and Surface Area & volume shortcut tricks that will help you to pass IBPS clerk exam and IBPS PO,thus getting a good IBPS result.

Question 1: Find the volume of a cube whose perimeter of each face is 20 feet.