Formula Sheet
Grade 9 Academic
Geometric Figure
Rectangle
Perimeter
P=l+l+w+w
l
w
Parallelogram
c
b
Triangle
P = 2(l + w)
h
P = 2(b + c)
c
c
P=a+b+c+d
a
d
h
A=
1
bh
2
A=
(a + b)h
2
A=
Circle
r
bh
2
or
b
d
A=
or
b
Trapezoid
A = bh
or
P=a+b+c
a
A = lw
or
P=b+b+c+c
h
Area
C = πd
1
(a + b)h
2
A = πr
2
or
C = 2πr
Ffla2_9e_0113_LP
Surface Area
Geometric Figure
Cylinder
A base = πr 2
r
h
Sphere
V = (A base )(height)
A lateral surface = 2πrh
A total = 2A base + A lateral surface
= 2πr 2 + 2πrh
A = 4πr
r
Volume
2
V = πr 2h
V=
4 3
πr
3
or
4πr3
V=
3
Cone
A lateral surface = πrs
A base = πr 2
s
h
A total = A lateral surface + A base
A total = πrs + πr 2
r
Squarebased
pyramid
h
b
b
Rectangular prism
h
Triangular prism
h
l
1 2
πr h
3
or
πr2h
V=
3
Abase = b2
V=
Atotal = 4Atriangle + Abase
or
1 2
b h
3
Atotal = 2bs + b
2
A = 2(wh + lw + lh)
b2h
V=
3
V = (A base )(height)
V = lwh
Abase =
c
a
V=
(A base )(height)
3
1
bs
2
w
l
(A base )(height)
3
V=
Atriangle =
s
V=
1
bl
2
V = (Abase)(height)
Arectangles = ah + bh + ch
V=
Atotal = Arectangles + 2Abase
or
Atotal = ah + bh + ch + bl
V=
1
blh
2
blh
2
b
Ffla2_9e_0113_LP