What is the area of an object What is volume, what is area, what is surface area?

The size of the surface of an object or the flat figure enclosed by it is called their area.

The sum of the surfaces of all three-dimensional figures is called its surface area.

The area is the size of the flat figure occupied, square meters, square decimeters, square centimeters, which is recognized and can be expressed by letters (m, dm, cm).

The units of measurement of the square mainly include:

Square meters (m) — international standard units.

Acre – 100 square meters.

ha hm – 10,000 square metres.

Square kilometers (km) – 1,000,000 square meters.

Municipal system: square city - square kilometers.

Square feet - 1 9 square meters.

Taiwan system: Taiwan A-9, square meters.

Ping - square meters.

Hong Kong: square feet (square feet).

The commonly used units of area are square centimeters, square decimeters, and square meters.

1) A square with a side length of 1 cm and an area of 1 square centimeter.

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

3) A square with a side length of 1 meter and an area of 1 square meter.

Generally large areas are measured in hectares and square kilometers.

1) A square with a side length of 100 meters and an area of 1 hectare.

2) A square with a side length of 1 km and an area of 1 square km.

Length by width, specifically the extent covered by the surface of this thing.

The size of an object's surface or flat figure is their area.

When the space occupied by an object is a two-dimensional space, the size of the space occupied is called the area of the object, which can be flat or curved. The square meter, square decimeter, square centimeter, is the recognized unit of area, which can be expressed by letters as (m, dm, cm).

Features of geometric area:The standard unit is square meters (square meters) in size and has an area of a square one meter long, and the shape of three square meters will be the same as three such squares. In mathematics, a unit square is defined as having a region of 1, and the area of any other shape or surface is a dimensionless real number.

There are several formulas for simple shapes that are well known, such as triangles, rectangles, and circles. Using these formulas, you can find the area of any polygon by dividing it into triangles. For shapes with curved boundaries, calculus is often required to calculate the area.

In fact, the problem of determining the numerical area of an aircraft is the main motivation for the historical development of calculus.

The place or location where objects are in contact with air is their area. For example, if the 6 faces of a cube are in contact with air, then the 6 faces are the area of the cube, such as the area of a uniform hollow core cylinder, because the inner and outer cylindrical surfaces and the two ends of the torus are in contact with the air, then the place or location of the contact with the air is the area. Wait a minute.

Because we are talking about objects, the area that causes them is the surface area of the whole object, not the area of the enclosed figure. So answer: The place or location where the objects are in contact with the air is their area.

Area refers to the area of an object's exterior surface, while volume refers to the amount of space occupied by the object. The unit of area is square, and the unit of volume is cubic, and the calculation method of the two is also different.

The difference between area and volume.

1. The overview of area and volume is different.

Volume: When the space occupied by an object is three-dimensional, the size of the space it occupies is called the volume of the object.

Area: When the space occupied by an object is two-dimensional, the size of the space it occupies is called the area of the object.

2. The calculation method is different.

Area: The formula for calculating the cuboid is (length and width + length and height + width and height) 2, and the formula for the area of the cube is the edge length and the edge length 6.

Volume: The volume of the cuboid is calculated as length, width and height, and the volume of the cube is calculated as the length of the edges and the length of the edges.

3. The unit of measurement is different.

The unit of volume is the cube, and the unit of volume is used, and the unit of area is square, and the unit of area is the unit of area.

Volume, a geometric term. When the space occupied by an object is three-dimensional, the size of the space occupied is called the volume of the object.

Area: When the space occupied by an object is a two-dimensional space, the size of the space occupied is called the area of the object, and the area can be flat or curved.

Surface area: Refers to the total area of a unit mass of material.

Volume: A geometric term that is the amount of space an object occupies. The SI system of units for volume is cubic meters.

Area: Size of a flat surface or surface of an object: Land. Building.

Surface area: The sum of the area outside all the cubes is called its surface area.

The size of an object's surface or flat figure is their area.

Area is a measure of how much of the surface of a plane. The measurement of the surface of a three-dimensional object is generally called the surface area. The concept of "plane figure" in the definition is limited by the definition of "plane" to the connotation of "figure", which makes its extension smaller and not inclusive enough.

For example, for a country, its area is made by a boundary line in a hall of a certain size "enclosed" by the spherical "surface of the object" of the earth, but it is not "flat"; A cylinder whose sides are "flat" only at that time, and whose own state is curved. It can be seen that the area "good fiber is the amount used to measure the size of a piece of area on a plane or surface", it is not limited to "plane shape".

Common area theorem

1. The area of a figure is equal to the sum of the areas of its parts;

2. The area of the two congruent figures is equal;

3. The area of triangles, parallelograms, and trapezoids of equal height (trapezoidal equal bottoms should be understood as the sum of the two bases) is equal;

4. The area ratio of triangles, parallelograms, and trapezoids with equal base (or equal height) is equal to the ratio of their corresponding height (or base);

5. The area ratio of similar triangles is equal to the square of the similarity ratio;

6. The ratio of the area of the triangle of equal angles or complementary angles is equal to the ratio of the product of the two sides of the equal angle or complementary angles; The ratio of the area of an equal-angle parallelogram is equal to the ratio of the product of the two sides of the equal-angled;

7. Any curve can be represented by a function y=f(x), then, the area enclosed by this curve is the integral of x.

The size of an object's surface or flat figure is their area.

Area is a measure of how much of the surface of a plane. The measurement of the surface of a three-dimensional object is generally called the surface area. The concept of "plane figure" in the definition is limited by the definition of "plane" to the connotation of "figure", which makes its extension smaller and not inclusive enough.

For example, for a country of regret, its area is a figure of a certain size "enclosed" by the boundary line on the spherical "surface of the earth", but it is not "flat"; A cylinder whose sides are "flat" only at that time, and whose own state is curved. It follows that area is a measure of the size of an area on a plane or surface, and it is not limited to a "flat shape".

Alexander's Heron (or Hero) discovered the formula of the so-called heron in terms of triangles, and in his book, a proof of this can be found in his book Metrica, which he wrote about 60 years ago. It has been suggested that Archimedes knew this formula two centuries ago, and since the metrica is a collection of mathematical knowledge available in the ancient world, it is possible that the formula predates the reference in the work.

In the year 499, a great mathematician-astronomer of the classical era of Indian mathematics and Indian astronomy, Aryabhata expressed the area of a triangle as half the height of Aryabhatiya.

Expand your knowledge as follows:

In the seventh century AD, Brahmagupta developed a formula, now known as the Differential Pure Brahmagupta, for the area of the circular quadrilateral (quadrilaterals engraved in circles) on its sides. In 1842, German mathematicians Carlanton Bretschneider and Karl Georg Christian von Staudt independently discovered a formula called the Bretschneider formula for any quadrilateral region.

In general, we usually only use "surface area" to describe the external surface area of an object.

However, if we take into account the surface area inside the object, then we can use terms like "inner surface area" or "surface area density" to describe the size of the internal surface of the object.

Internal surface area refers to the total area of the internal surface of an object, which includes all internal walls, holes, cracks, slip cracks, etc.

For example, the inner surface area of a sponge will be much larger than its outer surface area because there are many holes and walls inside the sponge. Surface area density refers to the size of the surface area of an object per unit volume.

It can be used to compare the size of the surface area of the collapse within objects of different densities and shapes. Surface area density is often used to describe some porous materials such as sponges, fibers, etc.

It is important to note that internal surface area and surface area density are usually only used in certain scientific fields, such as materials science, chemistry, etc.

In ordinary life, we usually only focus on the surface area of an object.

The size of an object's surface or enclosed figure is their area.

1. Definition of area.

When the space occupied by an object is a two-dimensional space, the size of the space occupied is called the area of the object, which can be flat or curved. The square meter, square decimeter, square centimeter, is the recognized unit of area, which can be expressed by letters as (m, dm, cm).

Area is the number of degrees that represent a two-dimensional figure or shape or plane layer in a plane. Surface area is a simulacrum on the two-dimensional surface of a three-dimensional object. Area can be understood as the amount of material with a given thickness, and the area is necessary to form the model of the shape.

2. Area calculation method.

The area of the rectangle = length and width, and the letters are represented as s=a b.

The area of the square = the length of the side The length of the side, the letter is represented as s=a a.

The area of the parallelogram = base height, and the letter is represented as s=a h.

The area of the triangle = base height 2, and the letter is represented as s=a h 2.

The area of the trapezoid = (upper bottom + lower bottom) high bush defeat 2, the letter is expressed as s=(a+b) h 2.

Area of the circle = pi (take the radius of the radius, and the letter is represented as s= r r.

Type of area of the building:

1. Living area.

The living area of a dwelling is the sum of the net living area of the rooms directly used for living in the floor plan of the residential building. The so-called net area is to remove the horizontal area occupied by building components such as wall seepage ears and columns.

2. The area and usable area of the suite.

The building area in the suite is not the same concept as the usable area, the building area in the suite includes the usable area and the wall area in the suite, you can measure the actual usable area of the house by yourself, which is commonly known as the carpet area.

3. Usable area.

The usable area of a dwelling refers to the sum of the net area directly used by the residents in the floor plan of each floor of the dwelling. The calculation of the usable area of a residential building can more intuitively reflect the use of the residential property, but it is generally not used to calculate the usable area in the purchase and sale of a residential property**.

There are some special provisions for the calculation of the usable area: the indoor staircase in a duplex house is counted as the sum of the area of the natural floors; Chimneys, ventilation ducts, and pipe wells that are not included in the structural area are included in the usable area; The thickness of the interior wall decoration is included in the usable area.