Instruction
1
For many three-dimensional shapes have been obtained the calculation formula of the volume. We give here examples of the most common shapes that have a base.
The volume of a cube V=a^3=S*a=S^(3/2) (V - volume, a - the edge length of the cube, S is the area of the base);
With the cube it's simple. But to compute volumes of other shapes, in addition to a base area to know more and the height of the figure.
The volume of the parallelepiped is V=S*h (h is the height of a parallelepiped);
The volume of a cylinder V=S*h;
The prism volume V=S*h;
The volume of a cone V=1/3*S*h;
The volume of a pyramid V=1/3*S*h.
The volume of a cube V=a^3=S*a=S^(3/2) (V - volume, a - the edge length of the cube, S is the area of the base);
With the cube it's simple. But to compute volumes of other shapes, in addition to a base area to know more and the height of the figure.
The volume of the parallelepiped is V=S*h (h is the height of a parallelepiped);
The volume of a cylinder V=S*h;
The prism volume V=S*h;
The volume of a cone V=1/3*S*h;
The volume of a pyramid V=1/3*S*h.
2
To get the formula for finding volume of more complex shapes, it is necessary to use a definite integral.
3
Remember that the units must be the same: if the area of the base figures given in square metres, then the height of the figures should be expressed in meters. Multiplying these two values by a certain factor (depending on the type of the figure), we obtain the volume in cubic meters.
