You will need
- To recall the definition and properties of a cube
- Measuring device
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.
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..
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 cubeerected in the third degree. V=a3.
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.
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
Try practical measurements as accurate as possible. You can use a ruler, tape measure, bar-compass. Importantly, the division met the standards.