Geometric Formulas
Area of a square
A
=
s
2
where
s
= side length
Area of a rectangle
A
=
lw
where
l
= length and
w
= width
Area of a triangle
A
=
2
1
bh
where
b
= base and
h
= height
Area of a parallelogram
A
=
bh
where
b
= base and
h
= height
Area of a circle
A
=
π
r
2
where
π
= 3.14 and
r
= radius
Circumference of a circle
C
=
π
d
where
π
= 3.14 and
d
= diameter
Perimeter of a polygon
P
= Sum of the length of the sides
Perimeter of a rectangle
P
= 2
l +
2
w
where
l
= length and
w
= width
Perimeter of a square
P
= 4
s
where
s
= side length
Volume of a triangular prism
V
=
Bh
where
B
= area of base and
h
= height
Volume of a rectangular prism
V
=
lwh
where
l
= length,
w
= width, and
h
= height
Volume of a cylinder
V
=
π
r
2
h
where
π
= 3.14,
r
= radius, and
h
= height
Volume of a sphere
Volume
=
3
4
π
r
3
;
Surface
= 4
π
r
2
Volume of a cone
Volume
=
3
1
π
r
2
h; Surface
=
π
r
2
+ π
rl
Volume of a cube
Volume
=
s
3
;
Surface
= 6
s
2
Surface area of a polyhedron
S
= Sum of the area of the faces
Surface area of a cylinder
S
= Sum of the lateral surface area and the area of the
two bases
Lateral surface area = 2
π
rh
Area of two bases = 2
π
r
2
Polynomials
Tables of Formulas
a(b +c) = ab + ac
(a + b)
2
= a
2
+ 2ab + b
2
(a – b)
2
= a
2
– 2ab + b
2
(a + b)(c + d) = ac + ad + bc + bd
(a + b)
3
= a
3
+ 3a
2
b + 3ab
2
+ b
3
(a – b)
3
= a
3
– 3a
2
b + 3ab
2
- b
3
(a + b)(a – b) = a
2
– b
2
(a + b)(a
2
– ab + b
2
) = a
3
+ b
3
(a - b)(a
2
+ ab + b
2
) = a
3
– b
3
(a + b + c)
2
= a
2
+ b
2
+ c
2
+ 2ab + 2ac + 2bc
Other Formulas
Distance traveled
d
=
rt
where
r
= rate,
d
= distance, and
t
= time
Simple interest
I
=
Prt
where
I
= interest,
P
= principal,
r
= rate, and
t
= time
MATH
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