Instruction

1

The standard formula for calculating area of a rectangle is the product of its different angles and has the form: S=a*b, where s is

**the area**of a plane figure, a and b are its sides having different lengths. To calculate**the area****of a square**, you need the above formula to substitute him. But they are equal, so, to find**the area of**a right rectangle need to square its*side*. S = (a) in the second degree.2

Now according to a certain formula of area

**of square**to find his*way*, knowing the numerical value of the area. For this you need to solve the equation of second degree: S=(a) in the second degree. Is side "a" by extracting from under the root value of a square shape: a = square root of (S). Example: to find*the side***of a square**if its**area**is sixty-four square centimeters. Solution: if 64=(a) caudate, "a" is equal to the square root of sixty-four. It turns out eight. Answer: eight square centimeters.3

If the solution to the square root beyond the scope of a table of squares and answer the whole, save the calculator. Even on the simplest machine you can find the value of under root of the second degree. To do this, enter the following set of buttons: "number", which expresses radical expression and "root". The response on the screen will be radical value.

# Advice 2 : How to calculate the area of a cube

The cube is a special case of a parallelepiped, in which each of the faces formed by the right polygon is a square. Only the cube has six faces. To calculate the area is not difficult.

Instruction

1

Initially, you need to calculate the area of any squares, which is a face of this cube. The area of a square can be calculated by multiplying at each other a couple of its sides. The formula can be expressed as:

S = a*a = a2

S = a*a = a2

2

Now that we know the area of one of the edges of the square, you can see the area of the whole surface of the cube. This can be done by modifying the formula listed above:

S = 6*a2

In other words, knowing that such squares (faces) of the cube have as many as six pieces, the surface area of the cube is one of the areas of the faces of the cube.

S = 6*a2

In other words, knowing that such squares (faces) of the cube have as many as six pieces, the surface area of the cube is one of the areas of the faces of the cube.

3

For clarity and convenience, you can give an example:

For example, given a cube whose edge length is 6 cm, it is required to find the surface area of this cube. Initially you will need to find the area of the face:

S = 6*6 = 36 cm2

Thus, knowing the area of the face, you can find the entire surface area of a cube:

S = 36*6 = 216 cm2

Answer: the surface area of a cube with an edge equal to 6 cm is 216 cm2

For example, given a cube whose edge length is 6 cm, it is required to find the surface area of this cube. Initially you will need to find the area of the face:

S = 6*6 = 36 cm2

Thus, knowing the area of the face, you can find the entire surface area of a cube:

S = 36*6 = 216 cm2

Answer: the surface area of a cube with an edge equal to 6 cm is 216 cm2

Note

The cube is a special case not only of a parallelepiped, and prisms.

A parallelepiped is the prism whose base is a parallelogram. Feature of box is that 4 of its 6 sides - rectangles.

Prism is the polyhedron whose base are equal polygons. One of the main features of the prism can be called that the side faces is a parallelogram.

In addition to Cuba, there are other types of polyhedra: pyramids, prisms, parallelepipeds, etc., each of which correspond to different ways of finding the areas of their surfaces.

A parallelepiped is the prism whose base is a parallelogram. Feature of box is that 4 of its 6 sides - rectangles.

Prism is the polyhedron whose base are equal polygons. One of the main features of the prism can be called that the side faces is a parallelogram.

In addition to Cuba, there are other types of polyhedra: pyramids, prisms, parallelepipeds, etc., each of which correspond to different ways of finding the areas of their surfaces.

Useful advice

If not given cube, and another is a right polyhedron, in any case, the surface area will be similar. This means that the surface area of regular polyhedron is found by adding together all the areas of its faces regular polygons.

# Advice 3 : How to find the area of the cube face

Under the correct cube means a polyhedron all of whose faces are formed right quadrilaterals - squares. In order to find the area of a face of any cube that do not require heavy calculations.

Instruction

1

To get started is to focus on the very definition of a cube. It can be seen that any of the faces of the cube is a square. Thus, the task of finding the square face of the cube is reduced to the problem of finding the square of any of the squares (faces of the cube). You can take it any of the faces of the cube, since the lengths of all its edges equal.

2

In order to find the area of a face of the cube that you want to multiply between a pair of any of the parties, they are all equal to each other. The formula can be expressed as:

S = a2, where a is a square of side (edge of the cube).

S = a2, where a is a square of side (edge of the cube).

3

Example: the edge Length of the cube is 11 cm, it is required to find its area.

Solution: given the length of the edge, you can find its area:

S = 112 = 121 cm2

Answer: the square faces of a cube with an edge of 11 cm is equal to 121 cm2

Solution: given the length of the edge, you can find its area:

S = 112 = 121 cm2

Answer: the square faces of a cube with an edge of 11 cm is equal to 121 cm2

Note

Any cube has 8 vertices, 12 edges, 6 faces and 3 faces at the top.

Cube is such a figure, which is found in the home incredibly often. Suffice it to recall the game cubes, dice, cubes in various child and adolescent designers.

Many architectural elements have a cubic shape.

A cubic metre made to measure the volumes of different substances in various spheres of life.

Scientifically speaking, a cubic meter is a measure of the amount of substance that can fit into a cube with an edge length of 1 m

Thus, you can enter other units of measure of volume: cubic millimeters, centimeters, decimeters, etc.

In addition to the different cubic units of volume measurement in the oil and gas industry may use a unit - barrel (1 m3 = 6.29 barrels)

Cube is such a figure, which is found in the home incredibly often. Suffice it to recall the game cubes, dice, cubes in various child and adolescent designers.

Many architectural elements have a cubic shape.

A cubic metre made to measure the volumes of different substances in various spheres of life.

Scientifically speaking, a cubic meter is a measure of the amount of substance that can fit into a cube with an edge length of 1 m

Thus, you can enter other units of measure of volume: cubic millimeters, centimeters, decimeters, etc.

In addition to the different cubic units of volume measurement in the oil and gas industry may use a unit - barrel (1 m3 = 6.29 barrels)

Useful advice

If Cuba is known the length of its edges, in addition to the face area, you can find other options of this cube, for example:

The surface area of the cube S = 6*a2;

Volume: V = 6*a3;

The radius of the inscribed sphere: r = a/2;

The radius of the sphere circumscribed around a cube: R = ((√3)*a))/2;

The diagonal of the cube (a line that connects two opposite vertices of the cube which passes through its center): d = a*√3

The surface area of the cube S = 6*a2;

Volume: V = 6*a3;

The radius of the inscribed sphere: r = a/2;

The radius of the sphere circumscribed around a cube: R = ((√3)*a))/2;

The diagonal of the cube (a line that connects two opposite vertices of the cube which passes through its center): d = a*√3

# Advice 4 : How to find the perimeter and knowing the area of a square

A square is regular quadrilateral whose all sides are equal and all the angles are straight.

**Perimeter****of a square**is the sum of the lengths of all its sides, and*the square*– product of two sides or a square one side. Based on known ratios using one parameter we can calculate the other.Instruction

1

For

**the square**perimeter (P) is equal to four times the value of one side (b). P = 4*b or the sum of the lengths of all sides P = b + b + b + b. The area**of a square**is expressed as the product of two adjacent sides. Find the length of one side**of the square**. If you only know the area (S), remove its value the square root a = √S. Then determine the perimeter.2

Given: area

**of square**is 36 cm2. Find the perimeter of a figure.Solution 1. Find the side**of square**b = √S, b = √36 cm2, b =6 cm, Find the perimeter: P = 4*b, P = 4*6cm, P = 24 cm P = 6 + 6 + 6 + 6 R = 24cm.Answer: the perimeter**of a square***with an area of*36 cm2 24 cm3

To find the perimeter

**of the square**through the square without extra action (computation). Use the formula for perimeter is valid only for**square**P = 4*√S.4

Solution 2. Find the perimeter

**of a square**: P = 4*√S, P = 4*√36см2, P = 24 cm Answer: perimeter**of square**is 24 cm5

Many of the parameters of this geometric shape are linked. Knowing one of them, you'll be able to find any other. There are also the following calculation formula:Diagonal: a2 = 2*b2, where a is the diagonal, b – side

**of the square**. Or a2=2S.The radius of the inscribed circle: r = b/2 where b – side.Radius of circumscribed circle: R = ½*d, where d is the diagonal**of the square**.The diameter of the circumcircle: D = f, where f is diagonal.Note

The beneficial properties of a square:

A square is regular quadrilateral, having the properties of a rectangle and a rhombus.

Square – a rectangle where all sides are equal.

The square – rhombus in which all angles are at 90 degrees.

A square face of the cube.

The diagonals of a square are equal and intersect at right angles.

The diagonal of a square divides it into two equal right triangle and is the hypotenuse for each of these triangles.

The diagonal of a square is the diameter described in the shape of a circle.

A square is regular quadrilateral, having the properties of a rectangle and a rhombus.

Square – a rectangle where all sides are equal.

The square – rhombus in which all angles are at 90 degrees.

A square face of the cube.

The diagonals of a square are equal and intersect at right angles.

The diagonal of a square divides it into two equal right triangle and is the hypotenuse for each of these triangles.

The diagonal of a square is the diameter described in the shape of a circle.