Many real objects have the form of a parallelepiped. Examples are the room and the pool. The details having such form - not a rarity and in the industry. For this reason quite often there is a problem of finding of volume of this figure.
Instruction
1. The parallelepiped represents a prism which basis is the parallelogram. The parallelepiped has sides - all planes forming this figure. In total it has six sides, and, all of them are parallelograms. Its opposite sides are among themselves equal and parallel. Besides, it has diagonals which are crossed in one point and in it are halved.
2. The parallelepiped happens two types. At the first all sides are parallelograms, and at the second - rectangles. The last from them is called a rectangular parallelepiped. It has all rectangular sides, and side sides are perpendicular to the basis. If the rectangular parallelepiped has sides which bases are squares, then it is called a cube. In this case, its sides and edges are equal. An edge is called the party of any polyhedron which also the parallelepiped is among.
3. In order that statements of the problem. The ordinary parallelepiped in the basis has a parallelogram, and at rectangular - a rectangle or a square which has always right angles. If in the basis of a parallelepiped the parallelogram lies, then its volume is as follows: V=S*H where S is the area of the basis, H is height parallelepipedavysoty a parallelepiped usually his side edge acts. In the basis of a parallelepiped also the parallelogram which is not a rectangle can lie. From a course of planimetry it is known that the area of a parallelogram is equal: S=a*h where h is height of a parallelogram, an is basis length, i.e.: V=a*hp*H
4. If the second case when the parallelepiped basis - a rectangle, then volume is calculated on the same formula takes place, but the area of the basis is in a bit different way: V=S*H, S=a*b, where an and b - respectively, the parties of a rectangle and an edge of a parallelepiped.V=a*b*H
5. For finding of volume of a cube it is necessary to be guided by easy logical ways. As all sides and edges of a cube are equal, and in the cube basis - a square, being guided by the formulas stated above it is possible to remove the following formula: V=a^3