Shapes and Formulas
Rectangle
Area = Length X Width A = lw
Perimeter = 2 X Length + 2 X Width P = 2l + 2w
Parallelogram
Area = Base X Height A = bh
Triangle
Area = 1/2 of the base X the height A = 1/2 bh
Perimeter = a + b + c(add the length of the three sides)
Trapezoid
Perimeter = Add all sides
Area = (Length of base 1 + base 2) multiplied by one half of the height
Circle
The distance around the circle is a circumference. The distance across the circle is the diameter (d). The radius (r) is the distance from the center to a point on the circle. (Pi = 3.14)D = 2rC = p d = 2 p r A = p r2(p = 3.14)
Rectangular Solid
Volume = Length X Width X Height V = lwh
Surface = 2lw + 2lh + 2wh
Prisms
Volume = Base X Height V = bh
Surface = 2b + Ph (b is the area of the base P is the perimeter of the base)
Cylinder
Volume = p r2 x height V = p r2 h
Surface = 2p radius x height S = 2prh + 2pr2
Pyramid
V = 1/3 bh b is the area of the base
Surface Area: Add the area of the base to the sum of the areas of all of the triangular faces. The areas of the triangular faces will have different formulas for different shaped bases.
Cones
Volume = 1/3 pr2 x height V= 1/3 pr2h
Surface = pr2 + prs
Sphere
Volume = 4/3 pr3V = 4/3 pr3
Surface = 4pr2S = 4pr2