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## 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

- Area of a rectangle = (Length x Breadth).
- Perimeter of a rectangle = 2(Length + Breadth).
- Area of a square = (side)
^{2}= (diagonal)^{2}. - Area of 4 walls of a room = 2 (Length + Breadth) x Height.
- Area of a triangle = x Base x Height.
- Area of a triangle = where
*a*,*b*,*c*are the sides of the triangle and*s*= (*a*+*b*+*c*). - Area of an equilateral triangle = x(side)²
- Radius of incircle of an equilateral triangle of side a =
- Radius of circumference of an equilateral triangle of side a=
- Area of a parallelogram=Base x height
- Area of a rhombus= x product of diagonals.
- Area of trapezium = x (sum of parallel sides) x distance between them.
- Area of a circle= Π
- Circumference of a circle=2ΠR

### 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= |

2. | Cube | Let length of a side of a cube=a units
Volume= units Surface Area= units Diagonal= units |

3. | Cylinder | Let radius of a base=r and height =h units
Volume=Π units Total Surface Area=2Π sq.units Curved Surface Area=2Π sq.units |

4. | Cone | Let radius of a base=r and height =h units
Volume= Π cubic units Slant height,l = units Curved Surface Area=Π sq.units Total Surface Area=Π +Π sq.units |

5. | Sphere | Let radius of sphere =r units
Volume= Π cubic units. Surface Area=4Π sq. units |

6. | Hemisphere | Let radius of hemisphere =r units
Volume=Π cubic units Curved Surface Area=2Π sq.units Total Surface Area=3Π sq.units |

### Things to remember

- 1 litre=1000.
- Sum of all angles of a triangle is
- Pythagoras Theorem=.
- 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.

Question 2: A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it. The mass of the man is: