Answers

2014-10-16T21:43:39+08:00
Perimeter
for square:
            P = 4s
                where s is the length of 1 side
for rectangle:
           P = 2L + 2W
                where L is the length
                              W is the width
for triangle:
          P = a + b + c
               where a,b, and c are the length of the 3 sides
 IN GENERAL, the perimeter is just the sum of all the sides of the polygon

Circumference: (equivalent perimeter in circle)
         C = 2πr
         or
         C = πd
              where r is the radius of the circle
                       d is the diameter of the circle

Area:
for square:
       A = s²
            where s is the length of 1 side
for rectangle:
       A = LW
            where L is the length
                     W is the width
for triangle:
       A = 1/2bh
            where b is the length of the base
                     h is the altitude/height perpendicular to the horizontal
for circle:
      A = πr²
      or
      A = πd²/4
           where r is the radius of the circle
                    d is the diameter of the circle
for a regular polygon:
      A = n x 1/2 ah
           where n is the number of sides
                    a is the length of 1 side
                    h is the perpendicular length from its center to the side
Surface Area
for sphere:
      A = 4πr²
           where r is the length of the radius
for cube:
     A(lateral) = 4s²
     A(total) = 6s²
           where s is the length of 1 side
for cylinder:
     A(lateral) = 2πrh  or πdh
     A(total) = 2πrh + 2πr²
          where r is the radius
                   d is the diameter
                  h is the height or altitude
Volume
for cube:
     V = s³
         where s is the length of 1 side
for rectangular prism:
     V = LWh
        where L is the length
                 W is the width
                 h is the depth/altitude/height
for sphere:
     V = 4/3πr³
         where r is the radius
for cylinder:
     V = πr²h
          where r is the radius 
                  h is the altitude/height
for cone:
     V = 1/3πr²h
          where r is the radius
                   h is the altitude/height
for any pointed solid:
     V = 1/3BH
          where B is the area of the base
                   H is the altitude perpendicular to the horizontal
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