How to find the volume of the prism?

At school in geometry lessons, students decidea lot of tasks for finding the area and volume of different figures. If you need to determine the volume of the prism, but you have forgotten how this is done, we will now remind you.

To begin with, we will definitely determine thatis called a prism. A prism is a polyhedron whose bases (two faces parallel to each other) are equal polygons; other faces of the prism are parallelograms, their planes are parallel to one straight line.

How to find the volume of the prism? To do this, you need to multiply the base area by the height. The volume of the prism is calculated by the following formula:

V = So · h.

V is the volume of the prism, So is the area of ​​the base, h is the length of the height.

This is a general formula for calculating the volumes of differentprisms. And how to find the volume of the correct prism? A right prism is a straight prism whose bases are regular polygons. The volume of a direct prism is equal to the product of the base area on the side edge.

V = So · h.

So is the area of ​​the base, h is the length of the edge. As you can see, the formula for finding the volume of a direct prism is the same as the general formula for calculating the volume of a prism. The fact is that in the correct prism the lateral edges are perpendicular to the bases, which means that each of them is the height of the prism. Therefore, we use in this case such a formula.

And how to find the volume of a triangular prism? Here we also need to use the general formula (see above). That is, the volume of a triangular prism is equal to the product of the base area by the height. In order to find the volume of this prism, you will need to calculate the area of ​​the triangle, which is the base. If the prism is inclined, then it will be necessary to draw a height and calculate its length. If the prism is straight, then the lateral edge of the prism will be the height. In this case, the base area will need to be multiplied by the length of the side edge, and you get the volume of the prism.

Of course, for a better understanding,independently solve problems on finding the volume of the prism, but if mathematics is given to you tightly or there is no time for calculations, then you can use this online calculator (http://en.onlinemschool.com/math/assistance/figures_volume/prism/).

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