Converting between mm, mm^2 and mm^3?? confused =/?

Question

If I have 1mm would it be 1mm^2 in mm^2 (eg: 2mm would equal 2*2=4mm^2?)

Or would I have to sub it into an equation for area in order to get mm^2 such as 1mm is the diameter of a circle so: 0.5^2 * π = 7.85 *10^-1?

If I was then to convert 1mm into mm^3 would that mean I just used the area * by the length e.g:
7.85*10^-1 * 600 = 4.71*10^2???

Answer 1

I think I know what you are trying to ask:



if you have a square that has sides that each measure 1mm, what would the area be?



the answer to that is 1mm x 1mm = 1mm^2



a rectangle that is 1mm long and 2mm high would have an area that is 1mm x 2mm = 2mm^2



a bigger rectangle, 10m long and 15m high would have an area that is

10m x 15m = 150m^2



To answer your second bit:

length x length = Area (m^2) (area of a circle you understand)

Length x length x length = Volume (m^3).

Area of Circle multiplied by a length would give you the volume of a cylinder (like a straight sided drinking glass, for example)

Answer 2

If you have 1 mm that would be the measure of a length along a certain direction, be it x (lengthwise) or y (breadthwise) or z (heightwise).

If you have 1 (mm)^2 that would be the measure of an area over a certain plane, be it xy plane (horizontal) or yz plane (vertical) or zx plane (vertical).

If you have 1 (mm)^3 that would be the measure of a volume in space.

So your example of

2mm would equal 2*2=4mm^2

could only make sence if we put x =2 (mm), then x * x = 2*2 (mm)^2 = 4 (mm)^2

For your second example, if the diameter of a circle is 1 mm, then its area is

(1/4) pi (1)^2 (mm)^2 = ... (mm)^2

For a rectangular box measuring 3mm by 4mm by 5mm, for example, without bothering about which is length or bredth or height, the volume is

3*4*5 (mm)^3 = 60 (mm)^3

Answer 3

First you can not convert mm in to mm^2 or mm^3.

They are different units and measure different things.

If I got a piece of paper and drew a straight line on the paper that was 2 mm long , how much water could that straight line hold ?



Answer nothing as the question does not make sence.

A straight line is one dimention , it has units of length , not units of area or volume.

If i folded a piece of paper to form a cube of length 2 mm , how much water could the cube hold ?

2 mm * 2mm * 2mm = 8 mm^3

This makes sense , but note the units of length have not been converted in to units of volume , they have been multiplied in to units of volume.

There is a difference.

Answer 4

there is no conversion, they are all measurements of different things.

1mm is the length of something.

1mm^2 is a square with sides of 1mm

1mm^3 is a cube with sides of 1mm



thats it, nothing to convert. Lines, Shapes and Solids.

Answer 5

mm^3 is the unit of volume (V = x mm * y mm * z mm) = xyz mm^3

mm^2 is the unit for the Area (A = x mm * y mm) = xy mm^2

mm is simply the unit of a length (x = 5 mm)