How to Calculate the Volume of a Pyramid

Often we find that our students find it difficult to know the volume of a pyramid. well, this time I show some examples of questions and answers related to pyramid material. Hopefully become an input for the reader and myself. What is meant by Limas is the building of a flat side space composed of a flat, triangular build with one highest point, the peak point is called the peak point. If there are Pyramid and beams that are owned and of the same height, then the pyramid volume is the volume of the beam.

The above statement can be proven in real life with fill the air into the pyram to the full and then pour the air in a beam that has the area unfortunately and high the same as the limas, then this beam will only be filled one third only.

Thus, it can be understood that a formula used for Pyramid volume is:

The determination of Pyramid volume formula can also be obtained through mathematical theory. For example, the determination of the quadrilateral Pyramid volume is obtained from the cutting of the cube on the diagonal of the chamber. The explanation of this assumption can be made clear by the following figure:

Illustration: Pyramid volume based on cube diagonal spots cube
The peak in the image above is T which is the cutting point of the diagonal of the cube space. In the cube can be formed 6 pieces of peaks that are equally top-pointed T, namely T.ABCD, T.BCGF, T.EFGH, T.CDHG, T.ADHE, and T.ABFE. The six pyramids have the same base as the cube, which is a square. Suppose the length of the cube = 2a cm, then the height of limas = TR = a cm. wake up T.ABCD shaded Pyramid called TR = a cm high.