O LEVELS MENSURATION

Area of a square

Area of a square

A=l²

AREA OF A RECTANGLE

A=lw

Length x Width

AREA OF TRIANGLE

A=1/2 x b x h

AREA OF A RHOMBUS

A= base x height

AREA OF A PARALLELOGRAM

A= base x height

AREA OF A TRAPEZIUM

A= 1/2 x (a+b) x h

AREA OF A CIRCLE

A=πr²

CIRCUMFERENCE OF A CIRCLE

2πr

AREA OF A SECTOR

Area of a Sector = (θ/360) x πr²

ARC LENGTH OF A SECTOR

θ/360 x 2πr

AREA OF MAJOR SEGMENT

PACMAN + TRIANGLE

AREA OF MINOR SEGMENT

PIZZA SLICE - TRIANGLE

VOLUME OF CUBE

V=L³

TOTAL SURFACE AREA OF CUBE

6l²

(depends on the no. of surfaces)

VOLUME OF CUBIOD

L x W x H

TOTAL SURFACE AREA OF CUBOID

2(LW) + 2(HW) + 2(LH)

(depends on the no. of surfaces)

HOW MANY TYPES OF CYLINDERS ARE HERE?

3 TYPES

1. CLOSED TIN (TOP, BOTTOM, CURVED SA)

2. OPEN CONTAINER (BOTTOM, CURVED SA)

3. PIPE (CURVED SA)

VOLUME OF A CYLINDER

V=πr²h

SURFACE AREA OF CYLINDER

TOP = CIRCLE = πr²

BOTTOM = CIRCLE = πr²

CURVED SURFACE AREA OF CYLINDER =

ARC LENGTH x HEIGHT

FOR A FULL CYLINDER TAKE θ = 360

WHAT IS OFFICIAL NAME OF AN UPRIGHT SHAPE?

PRISM

WHICH SHAPE QUALIFIES AS AN UPRIGHT SHAPE(PRISM)?

A Shape with two equal and parallel faces

VOLUME OF AN UPRIGHT SHAPE(PRISM)

BASE AREA x HEIGHT

WHAT IS AREA OF CROSS SECTION?

BASE AREA OF PRISM (UPRIGHT SHAPE)

WHAT ARE TWO POINTED SHAPES?

PYRAMID AND CONE

VOLUME OF A POINTED SHAPE?

1/3 x BASE AREA x HEIGHT

VOLUME OF A CONE?

1/3 x πr² x h

TOTAL SURFACE AREA OF CONE?

BASE = CIRCLE = πr²

CURVED SURFACE AREA OF CONE = πrl

WHEN A CONE IS OPENED (FACT 1)

IT MAKES A SECTOR (PIZZA SLICE OR PACMAN)

WHEN A CONE IS OPENED (FACT 2)

SLANT HEIGHT OF CONE>>> RADIUS OF SECTOR

WHEN A CONE IS OPENED (FACT 3)

CIRCUMFERENCE OF CONE BASE >>> ARC LENGTH OF SECTOR

WHEN A CONE IS OPENED (FACT 4)

CURVED SURFACE AREA OF CONE >>> AREA OF SECTOR

VOLUME OF SPHERE

4/3 x πr³

CURVED SURFACE AREA OF SPHERE

4πr²

CURVED SURFACE AREA

CYLINDER = ARC LENGTH x HEIGHT

CONE = πrl

SPHERE = 4πr²

PERIMETER OF 2D SHAPES

SUM OF ALL THE OUTER SIDES ONLY

(DO NOT REMEMBER INDIVIDUAL FORMULAS FOR PERIMETER)