O LEVELS MENSURATION
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35 Terms
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)