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By cricket888 6S
   The relationship between area, perimeter and
    volume is complex but easy to understand.
   Area is the inside of a 2-D shape, like a rectangle
   Perimeter is the distance around the outline of a
    1-D and 2-D shape.
   Volume is the maximum amount of something
    that can be in containing devices/containers.
   Perimeter is 1-D, area is 2-D and volume is 3-D
   Area houses perimeter, while if you are
    looking at volume, it houses area and
    perimeter. If you have the perimeter of a
    shape, then you can find the area of a
    shape and if you have area and perimeter
    you can find the volume of a specific
    container.
   Volume- the maximum amount or
    number that can be received or contained
    (air).
   Perimeter- the length of a boundary or
    outer boundary of a 2 dimensional figure.
   Area-the surface included inside a set of
    lines
   Perimeter is the length of the border ( on
    all sides) of a shape.
   Area is the inside of a 2-D shape
   Volume is the inside of a 3-D shape
 To find area, you need to take the length of two
  sides of a shape, multiply them and put the squared
  sign at the end.
 To find perimeter, you find the length of all the sides
  of a shape, and then add them up.
 To find volume, you find the area of a side of a 3-D
  shape, and then multiply the number of sides.
   Volume is displayed on next page
   S=sides(2S x 2):area
   Perimeter:S=sides(s + s + s + s)
   These are related through these formulas
    because area and perimeter are the same
    except area is inside and perimeter is outside.
    Volume is area and perimeter combined in a
    3-D shape.
   There are different 3-D shapes, so calculating
    the volume of each one is a little different.
 V = a3, length, base and height = a3:cube
 V = abc: a=length, b=width, c= depth: rectangular
  prism
 V = πr2h, pi=3.14 x 2, 2 circular faces so it is squared,
  h=height, r=radius: cylinder
 V = (πr2h)/3, pi=3.14, r x 2 =radius, h=height : cone
 V = (Ah)/3, a=area of base, h=height : pyramid
   Area        Volume



   Perimeter
2 x pi(3.14)=9.85. height of cylinder is 12 cm.
9.85 x 12=118cm3. It is essential that the cubed
sign is put at the end to signify 3 dimensions. 2
circular faces is 3.14 x 2 multiplied by the
height(12cm) :Volume

                               Each side is 9 cm, so
 Each side is 10 cm
                               9 x 9=81cm ² :area
long so 10 + 10 + 10 +
10=40cm: Perimeter
   ALL credits go to cricket888! Yay!
   Math dictionary is factmonster.com

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Area, perimeter and volume

  • 2. The relationship between area, perimeter and volume is complex but easy to understand.  Area is the inside of a 2-D shape, like a rectangle  Perimeter is the distance around the outline of a 1-D and 2-D shape.  Volume is the maximum amount of something that can be in containing devices/containers.  Perimeter is 1-D, area is 2-D and volume is 3-D
  • 3. Area houses perimeter, while if you are looking at volume, it houses area and perimeter. If you have the perimeter of a shape, then you can find the area of a shape and if you have area and perimeter you can find the volume of a specific container.
  • 4. Volume- the maximum amount or number that can be received or contained (air).  Perimeter- the length of a boundary or outer boundary of a 2 dimensional figure.  Area-the surface included inside a set of lines
  • 5. Perimeter is the length of the border ( on all sides) of a shape.  Area is the inside of a 2-D shape  Volume is the inside of a 3-D shape
  • 6.  To find area, you need to take the length of two sides of a shape, multiply them and put the squared sign at the end.  To find perimeter, you find the length of all the sides of a shape, and then add them up.  To find volume, you find the area of a side of a 3-D shape, and then multiply the number of sides.
  • 7. Volume is displayed on next page  S=sides(2S x 2):area  Perimeter:S=sides(s + s + s + s)  These are related through these formulas because area and perimeter are the same except area is inside and perimeter is outside. Volume is area and perimeter combined in a 3-D shape.
  • 8. There are different 3-D shapes, so calculating the volume of each one is a little different.  V = a3, length, base and height = a3:cube  V = abc: a=length, b=width, c= depth: rectangular prism  V = πr2h, pi=3.14 x 2, 2 circular faces so it is squared, h=height, r=radius: cylinder  V = (πr2h)/3, pi=3.14, r x 2 =radius, h=height : cone  V = (Ah)/3, a=area of base, h=height : pyramid
  • 9. Area Volume  Perimeter
  • 10. 2 x pi(3.14)=9.85. height of cylinder is 12 cm. 9.85 x 12=118cm3. It is essential that the cubed sign is put at the end to signify 3 dimensions. 2 circular faces is 3.14 x 2 multiplied by the height(12cm) :Volume Each side is 9 cm, so Each side is 10 cm 9 x 9=81cm ² :area long so 10 + 10 + 10 + 10=40cm: Perimeter
  • 11. ALL credits go to cricket888! Yay!  Math dictionary is factmonster.com