Instruction

1

If the body has the shape of a rectangular parallelepiped (it can be match boxes, book, cube, etc.), then its volume is given by: V=abc, where a is the body height, b - width, c - length. Values are removed by using a regular ruler or measuring tape. Suppose that we are given a matchbox to calculate its volume it is necessary to measure its parameters: a=2cm, b=4cm, c=5 cm, then the volume of the box equal to 4cm*2cm*5cm=40 cm in the cube.

2

If the body shape different from rectangular, irregular shape, its volume can be found by the method, which was discovered by Greek scientist Archimedes in the third century BC. To do this, pour water into the measuring vessel, to remember how much water in it (V1), and then lowering a body in there and measure how much water was (V2), a volume of the subject is difference:V2-V1. You should carefully examine the vessel in what unit he measures the water, most likely in milliliters or liters, then the volume of the body will also be in the same size.

Example: let it is necessary to measure the volume of the stone. Pour in a beaker 50 ml of water. After dropping a stone into the water in the beaker was 60 ml of water, then the volume of this stone is equal to 60-50=10ml.

Example: let it is necessary to measure the volume of the stone. Pour in a beaker 50 ml of water. After dropping a stone into the water in the beaker was 60 ml of water, then the volume of this stone is equal to 60-50=10ml.

3

In the case when a known mass and body density, body volume rasschityvaetsya by the formula: V=m/p where m is mass, p is the density. We assume that the formula is necessary only when body mass is known in kilograms, and the weight in kilograms divided by cubic meter; or the mass is in grams, and density is in grams per cubic cm, then the volume in the first case will be measured in cubic meters, and the second in cubic centimeters. Body density - value table, there are special tables of densities of various substances.

Example: suppose we need to find the volume of an iron stud, a mass of 7.8 g. In a table of densities, find the iron density of 7.8 g/cubic cm Then the volume is equal to 7.8 (g) divided by 7.8 (g/CC) is 1 cubic centimeter.

Example: suppose we need to find the volume of an iron stud, a mass of 7.8 g. In a table of densities, find the iron density of 7.8 g/cubic cm Then the volume is equal to 7.8 (g) divided by 7.8 (g/CC) is 1 cubic centimeter.

Useful advice

To convert measurements of volume at each other, it is necessary to know the following:

1l=1000ml, 1ml=0,001 L.

1l=0.001 cubic meters

1 cubic centimeter=1 ml.

1l=1000ml, 1ml=0,001 L.

1l=0.001 cubic meters

1 cubic centimeter=1 ml.

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

Calculate the volume

**of a cube**may be necessary not only in solving mathematical problems. For example, you need to know how many bricks in a package of the cubic form or how much liquid or dry ingredients will fit into a container. For this course, you will need to clear up a few options, but first, you need to calculate the volume**of a cube**.You will need

- To recall the definition and properties of a cube
- Measuring device

Instruction

1

Remember what CC It is a right hexahedron — geometric solid, each face of which represents a square. Since all sides

**of a cube**are the same — and faces his equal, as were the ribs. That is, to determine the volume you need to know the size of only one face.2

Remember, what is the volume of the parallelepiped. It is equal to the area of the base multiplied by the height. But

**the cube**length, width and height are equal. The cube can be put on any face, all the same, the footprint will be the same as in the original position. Indicate the edge**of the cube**as well. Find the area of the base. It is equal to the product of the length by the width, that is, S=a2..3

Calculate the volume by multiplying the area of the base A2 at the height which in this case is also equal. Accordingly, the volume V is equal to the size of the edge

**of the cube**erected in the third degree. V=a3.4

If you need to calculate the amount of a substance, which is supposed to fill a container of cubic shape, it is necessary to know the density of the substance. This number will be equal to the density multiplied by the volume

**of the cube**. And in order to calculate, for example, the number of bricks in a container of cubic shape, it is necessary to calculate the volume of each brick, then divide the volume of the container to the volume of the brick.Note

In some cases it is necessary to find the volume and the area of the walls - for example, when calculating the number of glass for the aquarium. Since all faces of a cube are the same, the square sum of the areas of the 6 faces, that is expressed by the formula S=6a2

Useful advice

Try practical measurements as accurate as possible. You can use a ruler, tape measure, bar-compass. Importantly, the division met the standards.