Are volume and area the same in mathematics?

No, you can see it from their unit.

The unit of volume is cubic, or liters and milliliters.

The units of area are all squares.

Volume: pronunciation tǐjι, English name [volume; Size; Capacity] refers to the size of the space occupied by a substance or object; The number of substances occupying a specific volume.

Example1; The volume of the wooden box is 3 cubic meters 2; When water is electrolyzed, it will release two volumes of hydrogen and one volume of oxygen.

Commonly used unit of volume: cubic meter, cubic decimeter and cubic centimeter.

Common calculation of volume (v= volume; A= length; B= width; H= high; S= area)

Volume of cuboid = length× width× height v=abh

Volume of cube = side length x side length x side length v = a.a.a

Volume of cylinder = bottom area × height v=sh

Volume of cone = bottom area × height ÷3 v=sh÷3

The formula for calculating the volume of a sphere is v sphere = 4/3 πr3 (π is a constant, that is, π is about 3.14; R= radius of the ball)

Volume conversion

metric system

1 cm3 =0.06 1 cubic inch

1 cubic decimeter = 1000 cubic centimeter = 0.0 10 cubic inch

1 m3 = 1000 cubic decimeter = 0.353 cubic foot

1 m3 = 1000 cubic decimeter = 1.3079 cubic yard.

British system

1 cubic inch = 16.387 cubic centimeter

1 cubic foot =28.3 cubic decimeter

1 cubic yard = 27 cubic feet = 0.7646 cubic meters

1 cubic foot = 3 1. 143 bushels (English) = 32. 143 bushels (American).

Zu Chongzhi, a mathematician in the Southern Dynasties, was the first in China and the world to get the correct formula for calculating the volume of a sphere, about a thousand years earlier than Europeans. He also carefully studied the art of celestial arithmetic (referring to astronomical mathematics) and refined Meiji. After his repeated requests, it was officially promulgated on 5 10. He also made various sophisticated observation instruments, such as copper daylight (an instrument for measuring time by measuring the shadow of the sun) and leaky pots, which were adopted by later generations.

zone

[Edit this paragraph]

The current primary school textbook defines it this way: "The size of the curved surface or plane figure surrounded by objects is called their area."

The concept of "plane figure" in the definition is limited by "plane", which makes it less extensive and less inclusive. For example, for a country, its area is a figure with a certain size surrounded by the boundary line on the surface of the spherical object of the earth, but it is not a plane; A cylinder's side is "flat" only when it is unfolded, and its own state is curved. It can be seen that the area is a measure of the area on a plane or surface, and it is not limited to "plane graphics".

In order to avoid limitation and ambiguity, I think the area can be simply defined as "the size of an object surface or an enclosed graphic surface, which is called their area." In this way, the concept of "face" is used before and after, so that the semantics are consistent and coordinated. More importantly, it is more logical for the definition to truly reveal the essential attributes of things, because "face" is a "trace" with "length, width and thickness", and this trace is not necessarily a "plane".

Area is a measure of a flat surface.

The measurement of the surface of three-dimensional objects is generally called surface area.

Square area system

[Edit this paragraph]

The unit of measurement of the area mainly includes:

Square meters-international standard units

Public construction mu-100 square meter

Ha-10000m2

Square kilometers-1100,000 square meters

Urban system:

Square city -0.25 square kilometers

Square feet-1/9 square meters

Taiwan Province system:

Taiwan Province province A-9699.38+073 square meters.

Ping -3.3058 square meters

Hong kong:

Square feet (square feet)

Region: name of disease. A kind of food. Refers to people who accumulate too much pasta. The Source of Miscellaneous Diseases, the Accumulation of Obstacles and Diseases, and the Source of Addiction: "Too many areas are cold or depressed, and the chest and stomach are full. Ferula ferulae pills are suitable for malt and radish seeds. " It can also be decocted with radish seed wine.

The size of the surface or closed figure of an object is their area.

To compare the sizes of two graphs, it is necessary to measure them in a unified area unit.

Common units of area are square centimeter, square decimeter and square meter.

(1) A square with a side length of 1 cm has an area of1cm 2.

(2) A square with a side length of 1 decimeter has an area of 1 square decimeter.

(3) The side length is 1 m and the area is

1 m2.

Area calculation method

[Edit this paragraph]

Triangle: s = (1/2) ah = (1/2) absinc.

Square: the square of s = a.

Rectangular: S=ab