The parallelepiped in geometry is a three-dimensional number which is created by six parallelograms. The form of a parallelepiped can be met everywhere, the majority of modern objects has it. So, for example, hotels and houses, rooms and pools, etc. Also many industrial details possess such form for this reason often there is a problem of finding of volume of this figure.
Instruction
1. Study visually a parallelepiped and examine definition of this figure. It can be done, having opened the textbook of geometry. This figure represents a prism. The parallelogram forms the basis of this prism. The parallelepiped has sides in number of six pieces which are parallelograms.
2. However there is also the second type of parallelepipeds in which all sides rectangular, and side are located perpendicularly to the basis. Such parallelepiped is called rectangular. It is necessary to know that the opposite sides of a parallelepiped are equal among themselves and also this figure has the diagonals which are crossed in one point which halves them.
3. Be defined, the volume what parallelepiped (ordinary or rectangular) you should learn.
4. If a parallelepiped ordinary (in the basis the parallelogram lies). Learn the area of the basis and height of the figure. Calculate parallelepiped volume on the rule, the side edge of a figure acts as height of a parallelepiped.
5. Except the specified way, it is possible to learn the volume of a parallelepiped and as follows. Learn the area. For this purpose make calculations on the formula S=a*h provided below where h in such formula is figure height, and – parallelogram basis length.
6. Find parallelepiped volume on a formula V=a*hp*H where r in a formula – figure basis perimeter. If you in a task were given a rectangular parallelepiped, then volume you can find on the same formula: V=S*H.
7. However the area of the basis of a figure will be as follows: S=a*b where an and b in a formula are the parties of a rectangle and according to a parallelepiped edge. Find figure volume on a formula V=a*b*H.