Formulas
Distance
d: distance
x1 and y1 come from a point. (x1, y1)
x2 and y2 come from another point. (x2, y2)
Volume of a Cylinder
V: volume
B: area of the base
h: altitude (height from base to base)
r: radius
Volume of a Cone
V: volume
B: area of the base
h: altitude (height from base to base)
r: radius
Bonus Formulas
(Useful formulas from before 8th grade)
The "Dirt" Formula:
D = RT
D: distance
R: rate (speed)
T: time
Simple Interest
I = Prt
I: Interest
P: Principle
t: time (number of iterations)
Perimeter of a Polygon
P = Sum of all the sides
Circumference:
C = πd = 2πr
C: circumference
d: diameter
r: radius
Area of a Circle
A: area
r: radius
Area of a Parallelogram (including rectangles and squares)
A = bh
A: area
b: base (length of a side)
h: altitude (height from base to base)
Area of a Triangle
A = bh / 2
A: area
b: base (length of a side)
h: altitude (height from base to vertex)
Area of a Trapezoid
A: area
b1: base (length of a parallel side)
b2: base (length of another parallel side)
h: altitude (height from base to base)
Area of a Kite
A: area
d1: major diagonal
d2: minor diagonal
Surface Area of a Prism (right prisms only)
S = 2B + PH
S: surface area
B: area of the base
P: perimeter of the base
H: altitude (height from base to base)
Surface Area of a Pyramid (right pyramids only)
S = B + Pℓ/2
S: surface area
B: area of the base
P: perimeter of the base
ℓ: slant height (height of the lateral face)
Volume of a Prism
V = BH
V: volume
B: area of the base
H: altitude (height from base to base)
Volume of a Pyramid
V = BH / 3
V: volume
B: area of the base
H: altitude (height from base to vertex)