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Volume Formulas

The standard notation for volume is V. With it we measure the quantity(for example water), that can be filled in a figure. Only figures in the space have volume. For example triangles, squares does not have volume, but a ball have volume(because it can be filled with water).

Cube

Cube is a parallepiped that all sides are squares(all sides are equal).

If the side of a cube is long a then the volume formula is:

V = a.a.a = a³

Rectangular parallelepiped

Rectangular parallelepiped is a figure that all sides are rectangles.
If the sides of a rectangle at the bottom are long a and b and the height of the parallelepiped is c (it is the second side of a rectangle)
the volume formula is:

V = a.b.c

Parallelepiped

Parallelepiped is a figure that all sides are parallelograms. If the area of the bottom is S and the height of the parallelepiped is h
the volume formula is:

V = S.h

Pyramid

Pyramid is a figure with a bottom triangle, parallelogram(square, rectangle), or other n-angle figure and sides are triangles.
If the area of the bottom is S and the height of the pyramid is long h
the volume formula is:

V = ¹/₃S.h

Cone

Cone is a figure with a bottom circle and have one top like the pyramid.
If the area of the bottom is S and the height of the cone is long h
the volume formula is:

V = ¹/₃S.h = (¹/₃)π.r².h

Sphere

Sphere is a globe, ball
It have radius - the central point of the sphere. If the length of the radius is R the volume formula is:

V = (⁴/₃).π.r.r.r = (⁴/₃).π.r³

Cylinder

Cylinder is a figure with two parallel circles.
If the radius of the bottom is long r and the height(the distance between the bottoms) of the cylinder is h
the volume formula is:

V = π.r.r.h = π.r².h

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