Throughout our lives constantly have to calculate the volume of various geometric shapes.For example, in the construction necessary to properly calculate the amount of trenches and pits.In addition, this value is determined almost all the designers at work.With the passage of the curriculum in the "Geometry" details on how to calculate the volume of various geometric figures.But what about those who have long forgotten about schoolwork?This article will help you to remember everything.
Please tell how to calculate the volume of regular geometric bodies.These include pyramid, cuboid, cone, cylinder, sphere, and a box.
Pyramid is a polyhedron whose base is a polygon.All other side - are triangles having a common vertex.In order to determine the amount of the frustum, must know or calculate the footprint and height.The volume of the pyramid corresponds to the third part of the product of the height and area of the base of the figure.In a formula would look like this:
V = 1/3 • S • h
Next on our list is a box.How to calculate the volume of this figure?Parallelepiped - a prism, in which the base is a parallelogram.If all four sides, called side, is a rectangle, then this is called direct parallelepiped.If all six parties - rectangles, it is cuboid.The volume of this figure corresponds to the product of two quantities: the area of the base and the height of the figure.In a formula this can be written as:
V = S • h
As for the volume of a cuboid, it is calculated as the product of its length, width and height.
V = a • b • h, where
and - width, b - length, h - height of the figure.
It is just a figure and a cone, which is obtained by the rotation of a triangle having a right angle around one of its two sides.How to calculate the volume of a cone?Quite simply, it corresponds to the third part of the work area of the base and height.
V = 1/3 • S • h
In addition, the volume of the cone can be calculated by the formula:
V = 1/3 • n • r² • h, where
p = 3,141592,
r -radius of a circle lying in the base.
And now look at how to calculate the volume of the cylinder?Recall that this figure represents.Cylinder - a figure which is obtained by the rotation of the rectangle about one of its sides.Its size corresponds to the product of the height and footprint.The formula is written as follows:
V = n • R² • h.
sphere is called a closed shape, in which all points of its generators are located at the same distance from the center.How to calculate the amount of such a body?For this is the following formula:
V = 4/3 • 3,14 • r³
As you can see from the above, to calculate the volume of any geometric body will not be difficult, knowing the formula.If a value in the formula is unknown, it is necessary to calculate it, is already considering the need for a flat figure.
In addition, it should be noted that all of the values used in a formula must be represented in equal units.For example, if the radius is expressed in meters, and the height is also to be expressed in meters, otherwise the answer will be false.
In addition to these, there are geometric shapes and more complex shape: a truncated pyramid, a hollow cylinder, and others.There has to be other formulas.For example, the volume of the hollow cylinder is equal to the difference of volume of the larger cylinder and downward.In calculating these data, there is nothing difficult.You just need to submit it to the body and the fragment which is cut away.You'll see, the question will come by itself.And do not be discouraged if something does not work to solve, just read this article.
