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Length, Surface Area, and Volume

Topics:

  • Length
  • Surface Area
  • Volume

Length:
Length is a one-dimensional measure.a0 We can measure the length of various objects. The size of this object is expressed in a unit of length. The unit of length is also referred to as the length measure. Using the ruler in the image below, a length of 5 cm is measured.

The length measure can be expressed in the following units:

  • millimeter (mm)
  • centimeter (cm)
  • decimeter (dm)
  • meter (m)
  • decameter (dam)
  • hectometer (hm)
  • kilometer (km)

Between each unit of length, the step is a factor of 10. From large to small, we multiply by 10 and vice versa, divide by 10.
The image above shows that 1 meter is equal to 0.001 km and 1000 mm.

From small to large is times 10.
mm -> cm -> dm -> m -> dam -> hm -> km

From large to small is divided by 10.
km -> hm -> dam -> m -> dm -> cm -> mm

Surface Area:
Surface area is a two-dimensional measure. We express the surface area of a certain area or object in a surface unit. The surface is calculated by multiplying the length by the width.
An object with a length of 8 by 5 centimeters has a surface area of (8*5) = 40 cmb2.a0

We express the surface area in the following units:
  • square millimeter (mmb2)
  • square centimeter (cmb2)
  • square decimeter (dmb2)
  • square meter (mb2)
  • square decameter (damb2)
  • square hectometer (hmb2)
  • square kilometer (kmb2)

In automotive engineering, for example, we deal with the frontal area of a passenger car which measures 1.9 mb2. This is equivalent to 19000 cmb2.

From small to large is times 100.
mmb2 -> cmb2 -> dmb2 -> mb2 -> damb2 -> hmb2 -> kmb2

From large to small is divided by 100.
kmb2 -> hmb2 -> damb2 -> mb2 -> dmb2 -> cmb2-> mmb2

1 hmb2 = 1 ha.
A square hectometer (hmb2) is also called a hectare (ha). One hectare is an area of 100 x 100 meters and is equal to 10,000 mb2.

1 damb2 = 1 are.
A square decameter (damb2) is also called an are. One are is equal to an area of 100 mb2.

Volume:
Volume is a three-dimensional measure. With volume, we deal with the length, width, and depth measure. Multiplying the length, width, and depth gives the volume. A cube with a length of 7 cm, a width of 8 cm, and a depth of 8 cm has a volume of: 7*8*8 (l*w*h) = 448 cmb3.

We express the volume in the following units:
  • cubic millimeter (mmb3)
  • cubic centimeter (cmb3)
  • cubic decimeter (dmb3)
  • cubic meter (mb3)
  • cubic decameter (damb3)
  • cubic hectometer (hmb3)
  • cubic kilometer (kmb3)

From small to large is times 1000.
mmb3 -> cmb3a0-> dmb3a0-> mb3a0-> damb3a0-> hmb3a0-> kmb3

From large to small is divided by 1000.
kmb3a0-> hmb3a0-> damb3a0-> mb3a0-> dmb3a0-> cmb3-> mmb3

1 cmb3 = ml = cc.
In automotive engineering, for example, we deal with the engine displacement of a motor which is 1988 cmb3. This is equal to 1988 ml and 1988 cc.

cmb3 to dmb3 = liter.
Looking at the table, the multiplication factor between cmb3 and dmb3 is 1000. Converting cmb3 to dmb3, we get 1.988 dmb3 which is equal to 1.988 liters.

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