## Volume and Surface Area Calculator

Free online Volume and Surface Area Calculator: Determine the Volume and the Surface Area of Barrel, Cone, Frustum Cone, Cube, Cylinder, Hollow Cylinder, Sectioned Cylinder, Parallelepiped, Hexagonal Prism, Pyramid, Frustum Pyramid, Sphere, Spherical Cap, Spherical Sector, Spherical Zone and Torus using free our online Volume and Surface Area Calculator.

Pyramid:

A pyramid is a solid that has:

A base that is a polygon

Triangular side faces that have a common vertex: the top of the pyramid.
The height of a pyramid is the distance from the top to the base of the pyramid.

Volume of a pyramid:

The volume of a pyramid is equal to one third of the product of the area of its base by the height.

Cylinder:

This solid has 1 curved face and 2 flat and circular parallel faces.
It is obtained by revolution in the space of a rectangle around one of its sides.
Here we can imagine the revolution of the rectangle AO'OB around the axis (OO ').
This gives a solid whose typical example in everyday life is the can.
The two parallel faces (bases) are disks.
To obtain its volume, use the following formula: Base x height, ie: pi x R x R x h (we will use pi) in volume units.

Cone:

A cone of revolution of vertex S is the solid generated by the rotation of a triangle SOM, rectangle in O, around the line (SO).
The base of the cone is a disk of O center.
The height [SO] is perpendicular to the plane of the base.

Volume of the cone:

V = 1/3 x 2.pi.r x h

Cube:

A cube is a three-dimensional object with all faces square. It is a polyhedron also called hexahedron.
The cube has six square faces, twelve edges of the same length, eight vertices.

The cube is a solid and has a volume: if the length of the edge is a:

the area A of a face is a x a, that is A = a^{2};

the volume V is equal to a x a x a, let V = a^{3}

Sphere:

Let O be a point of space.
A sphere of center O and radius R is the set of all points in space that are located at a distance R from the point O.

Area of the sphere:

The area of the sphere of radius R is given by the formula:4/3 x pi x r^{3}

Volume of the sphere:

The volume of the sphere of radius R is given by the formula:4 x pi x r^{2}