Excelsior Geometry Unit 8 Formulas

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Area of a Rectangle
A=bh
Area of a Parallelogram
A=bh
Area of a Triangle
A=(1/2)bh
Area of a Trapezoid
A=(1/2)h(b1+b2)
Area of a Rhombus or Kite
A=(1/2)d1d2
Circumference of a Circle
C=πd or C=2πr
Area of a Regular Polygon
A= (1/2)aP where a is the apothem and P is the Perimeter
Lateral Area of a Prism
L.A.=Ph
Lateral Area of a Cylinder
L.A. = 2πrh
Surface Area of All shapes other than spheres
S.A. = L.A. + Area of the Bases
Surface Area of a prism
S.A. = L.A. + 2B
Surface Area of a Cylinder
S.A. = L.A. + 2B or 2πrh + 2πr2
Volume of a Prism
V= Area of Base times height
Volume of a Cylinder
V= Area of Base times height or πr2h
Lateral Area of Regular Pyramid
L.A. = (1/2)Perimeter of Base times slant height (l)or L.A. = (1/2)Pl
Lateral Area of Cone
L.A. = (1/2)Perimeter of Base times slant height (l)or L.A.= (1/2)2πrl
Surface Area of Regular Pyramid
S.A. = L.A. + Area of the Base or (1/2)Pl+Area of Base
Surface Area of Cone
S.A. = L.A. + Area of Base or πrl+πr2
Volume of a Pyramid
V= (1/3) (Area of Base)(height) or V = (1/3)Bh
Volume of a Cone
V= (1/3) (Area of Base)(height) or V = (1/3)Bh or V=(1/3)πr2h
Surface Area of Sphere
S.A. = 4πr2
Volume of a Sphere
V = (4/3)πr3