How to find the volume of a rectangular parallepiped

How to find the volume of a rectangular parallepiped

The rectangular parallelepiped is a prism which all sides are formed by rectangles. Its opposite sides are equal and parallel, and the corners formed by crossing of two sides are straight lines. It is very simple to find the volume of a rectangular parallelepiped.

It is required to you

  • Length, width and height of a rectangular parallelepiped.


1. First of all it should be noted that facet, forming this type of a parallelepiped, are rectangles. Its area is by multiplication at each other of couple of its parties. Speaking differently, let a be rectangle length, and b is its width. Then the area it will be calculated as a*b. Proceeding from definitions rectangular parallelepiped becomes obvious that all opposite sides are in pairs equal each other. It concerns also the basis - a side on which the figure ""rests"".

2. Height of a rectangular parallelepiped is the length of a side edge of a parallelepiped. Height remains a constant, it is clear from definition of a rectangular parallelepiped. Now in order that the help of a formula can express it so: V = a*b*c = S*c, where with - height.

3. At all simplicity of calculation, it is necessary to review an example: The rectangular parallelepiped which has length and width of the basis of 9 and 7 cm is Let's say given, and height is 17 cm, it is required to find figure volume. First of all it is necessary to find out the area of the basis of this parallelepiped: 9*7 = 63 quarter the smdaly calculated value are multiplied by height: 63*17 = 1071 cubic smotvt: the volume of a rectangular parallelepiped is 1071 cubic cm

Author: «MirrorInfo» Dream Team