Mathematical Formula For Volume

Cube the length of a side a 2 cm volume 2 cm 2 cm 2 cm 2 cm 8 cm 3.

Mathematical formula for volume. Table of volume formulas and surface area formulas. A cube is a three dimensional figure with six matching square sides. Height volume of a sphere. Pi radius 2 height.

Length of the base of the triangle height. Height of the triangle. Cone 1 3 pi radius 2 height. Cylinder the height is 8 inches and the radius is 2 inches.

Sphere 4 3 pi radius 3. Radius of sphere volume of a triangular prism. A 2 means a squared which is the same as a times a. Volume of a cube.

In math especially geometry and science you will often need to calculate the surface area volume or perimeter of a variety of shapes whether it s a sphere or a circle a rectangle or a cube a pyramid or a triangle each shape has specific formulas that you must follow to get the correct measurements. Scroll down the page if you need more explanations about the volume formulas examples on how to use the formulas and worksheets. The volume of three dimensional mathematical shapes like cube cuboid cylinder prism and cone etc. We re going to examine the formulas you will need to figure out the surface area and.

Ab means a multiplied by b. 4 3 pi r 3 pi. Mathematical handbook of formulas and. Length of one side volume of a box.

Area of triangle height 1 2 base height height base. Use the same units for all measurements. Can be easily calculated by using arithmetic formulas. Cube a 3.

Ellipsoid 4 3 pi radius1 radius2 radius3. For example the volume of the cylinder can be measured using the formula πr 2 h where r d 2. S s s s. L w h l.

Torus 1 4 pi 2 r1 r2 r1 r2 2. Whereas to find the volumes of complicated shapes one can use integral calculus. Side1 side2 side3. B 3 means b cubed which is the same as b times b times b.

Rectangular prism a b c. Irregular prism b. Pyramid 1 3 base area height. Volume of a cube.

The following table gives the volume formulas for solid shapes or three dimensional shapes.