| Trapezoid
Perimeter = area + b1 + b2 + c
P = a + b1 + b2 + c |
| 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.
d = 2r
c = pd = 2 pr
A = pr2
(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 = pr2 x height
V = pr2 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. |
| ConesVolume = 1/3 pr2 x heightV= 1/3 pr2h
Surface = pr2 + prsS = pr2 + prs
=pr2 + pr |
| SphereVolume = 4/3 pr3V = 4/3 pr3
Surface = 4pr2S = 4pr2
|
an impressive range of shapes to work with.
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