What is the theoretical dimensions of a piece of A4 paper?

Question

HELP ME!!!!! please!!!

its for maths assignment..

and please don't explain it confusingly...

Answer 1

Like al good things in the metric system, the A series of paper sizes fits into a logical scheme.

The ISO A4 paper size is today commonly used throughout the world. The following explains the ISO 216 paper size system and the principles behind the concept.

With the ISO paper size system, all sheet sizes have a width to height ratio of 1:√2 (1:1.4142). By placing two sheets of A series paper next to each other, or by cutting one in half parallel to its shorter side, the resulting sheet will again have the same width to height ratio.

ISO paper sizes are based on the metric system. The sizes  are rounded to whole millimetre lengths. As the weight of paper in the metric system is specified in grams per square metre (gsm), a simple method of calculating the mass or weight of a publication is possible, where the size and number of pages is known. Standard ISO paper has a mass of 80g/m², which means that a standard sheet of A4 paper which is used in offices. and most likely in the printer attached to your computer will have a mass of 5 grams

The base format A0 (841mm x 1189mm) has an area of one square metre. Ratio L:B = 1189:841 = 1.414

A1 is A0 cut into two equal halves, where the A1 sheet long dimension is the same as the short dimension of A0, and the A1 short dimension is half the A0 long dimension. Thus A0 measures 841mm x 1189mm and A1 measures 594mm x 841mm, where 594mm is half the length of 1189mm and rounded down to the nearest millimetre.

All smaller A series formats are defined in the same way by cutting the next larger format parallel to its shorter side into two equal halves, so A2 measures 420mm x 594, where 420mm is half of 841mm, rounded down. Likewise, A3 has dimensions 420 x 297 and A4 has dimensions 210 x 297.

Answer 2

Basically, I sheet  of paper is a Rectangular and integrated across a depth the form for volume is  Vol= L * W * H

A4 = has set specs so all variable are give. jusy plug the into vol form

later

Answer 3

it's 297 millimeters long and 210 millimeters wide. Its thickness is less than 0.5 millimeter, it depends on paper type and it's negligible compared to the length and width of the sheet

Answer 4

a4 papers are cool. a4 papers come from Hades universe during the development of our universe when the string theory was discovered by Einstein during his death anniversary that solved the law of supersymmetry and parallel universe

Answer 5

If it's for maths, you need to know a bit about th "A" series of paper sizes.

You start off with a rectangle of paper which has an area of one metre squared.  It's shape (by which I mean its length divided by its width) is rather special.  That size of paper is called A0

If you fold it down the middle of the long side and then cut it into two equal pieces you get two pieces of paper, each half a metre squared, called A1 size.  The thing is that the shape (length/width) of each piece is that same as that of the original A0 piece.

The same thing happens if you cut each of those two A1 sheets into two to get four A2 sheets, or cut those four A2 sheets to get eight A3 sheets....

An A4 sheet is a sixteenth of the area of an A0 sheet, but still the same ratio of length/width.

It's really handy if you want to use a photocopier to enlarge or reduce a sheet of "A" paper.  Because the shape is the same, you can always get the image to fit exactly on a smaller or larger "A" sheet.

The maths comes in to work out what ratio of length/width do you need to start with so that this works out.

The answer turns out to be that the length = width * sqrt(2)

You know that area = length * width.