Volume Formulas for Geometric Shapes
Volume of a Cube
The volume of a Cube is equal to the cube of the length of its edge.
Volume formula of a Cube:
a - the length of an edge.
Volume of a Prism
The volume of a prism is equal to the product of the base area to a height of a prism.
Volume formula of a prism:
Ab - the area of the base of the prism,
h - the height of the prism.
Volume of a parallelepiped
The volume of a parallelepiped is equal to the product of the base area to a height of a parallelepiped.
Volume formula of a parallelepiped:
Ab - the area of the base of the parallelepiped,
h - the height of the parallelepiped.
Volume of a Rectangular Prism
The volume of a rectangular prism is equal to the product of its length, width and height.
Volume formula of a rectangular prism:
a - length,
b - width,
h - height.
Volume of a Pyramid
The volume of a pyramid is equal to one third of the product of the area of its base times the height.
The volume formula of a pyramid:
| V = | 1 | Ab · h |
| 3 |
Ab - the area of the pyramid base,
h - the height of the pyramid.
Volume of a Tetrahedron
Volume formulas of a tetrahedron:
| V = | a3√2 |
| 12 |
a - edge length.
Volume of a Right Circular Cylinder
Volume of a right circular cylinder is equal to the product of the area of its base times the height.
Volume formula of a right circular cylinder:Ab - area of the base,
R - radius of the base,
h - height,
π = 3.141592.
Volume of a Right Circular Cone
Volume of a right circular cone is equal to one third of the product of the area of its base times the height.
Volume formula of a right circular cone:
| V = | 1 | π R2 h |
| 3 |
| V = | 1 | Ab h |
| 3 |
Ab - area of the base,
R - radius of the base,
h - height,
π = 3.141592.
Volume of a Sphere (Solid)
Volume of a sphere is equal to four-thirds of its radius cubed multiplied by the number pi.
Volume formula of a sphere (solid):
| V = | 4 | π R3 |
| 3 |
R - radius of a sphere,
π = 3.141592.
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