How to count cubic volume

How to count cubic volume

Cubic volume is the characteristic of a body showing it ability to contain in itself a certain quantity of cubes of any substance or gas. To count cubic volume very easily.

Instruction

1. From definition becomes clear that the volume of any hollow body conditionally is defined by its ability to contain in itself a certain amount of any matter. If the cube is meant as a cube which size of an edge 1 cm, then is talked about cubic centimeters. If the size of an edge of a cube is 1 m, then here it is about the volume measured in cubic meters. Similar to volume it can be measured in cubic millimeters, decimeters or other measures, depending on cube edge size.

2. Now, having dealt with what is the cubic volume of any body, it is possible to start directly its calculation. Formulas by means of which it is possible to count cubic volumes of the most widespread volume bodies are given below: V = with³ - cube volume, with - the size of an edge of this cube; V = S*h is the volume of a prism, S is the area of its basis, h is its height; V = π*r²*h - the volume of a cylinder, r - circle radius in its basis, π - a constant (π = 3.14); V = (4*π*r³)/3 - the volume of a sphere, r - its radius; V = (4*a*b*c*π)/3 - the volume of an ellipsoid, a, b, c - its main axes; V = (S*h)/3 is the volume of a pyramid, S is the area of its basis, h is its height; V = (π*r²*h)/3 - cone volume.

3. For descriptive reasons and clarities it is possible to review several examples. Example 1: The pyramid which area of the basis is equal to 60 cm² is given, and height of its 20 cm, is required to find the cubic volume of this pyramid. For the solution of the offered task it will be required to use one of the formulas specified yours: V = (60*20)/3 = 400 cm³Ответ: the cubic volume of this pyramid is 400 cm³Пример 2: It is required to find the cubic volume of a prism with an area of basis of 140 m² and 60 m high. Having checked the list of formulas given above it is necessary to pick up necessary and to apply it: V = 140*60 = 8400 m³Ответ: the cubic volume of this prism is equal to 8400 m³

Author: «MirrorInfo» Dream Team


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