Area, Perimeter, and Volume Formula

Formula of area

1

Triangle 

area = 1/2 * base * height.

2

rectangle 

Area = l × w

3

 Square

Area = a²

4

 Circle

Area = πr²

5

Trapezoid

Area = 1/2 (a + b)h

Perimeter Formula

1

Triangle

P=a + b + c

2

Rectangle

P=2(Length + Width)

3

Square

4a

4

2+4

6

5

Trapezoid

P=a +b+c+d 

Volume Formula

1

Pyramid or Cone

V= 1/3 Bh

2

Rectangular Box

V= lwh

3

square box

V = s3

4

Sphere 

V = 4/3 π r³ 

5

Trapezoidal Prism

 V = (Base Area) × Height.

Formular of Surface Area

1

Pyramid 

SA = B + 1/2 ps

2

rectrangular prism

SA = 2lw + 2hw + 2lh

3

General prism 

SA = sum of the areas of the face

4

Sphere 

SA= 4πr2. 

5

right circular cone 

SA = B + 1/2 cl = area of base + (1/2 x circumference x slant h)

Classification of triangles

1

actute 

if 3 interior angles are acute

2

right

if one angle is a right angle

3

obtuse 

if an interior angle is obtuse 

4

scalene 

if no two sides have the same length

5

equilateral

3 sides have the same length