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# What are the common mathematical formulas for area?

Area of a rectangle:

Area = length times width

A = lw

Area = altitude times base

A = ab

Area of a circle:

Area = pi times the radius squared

A = pr2 or A = 1/4pd2

Area of a triangle:

Area = one half the altitude times the base A = 1/2ab

Area of the surface of a sphere:

Area = four times pi times the radius squared A = 4pr2 or A = pd2

Area of a square:

Area = length times width, or length of one side squared A = s2

Area of a cube:

Area = square of the length of one side times 6

A = 6s2

Area of an ellipse:

Area = long diameter times short diameter times 0.7854.

What are the common mathematical formulas for volume?

Volume of a sphere:

Volume = 4/3 times pi times the cube of the radius

V = 4/3 × pr3

Volume of a pyramid:

Volume = 1/3 times the area of the base times the height

V = 1/3bh

Volume of a cylinder:

Volume = area of the base times the height

V = bh

Volume of a circular cylinder (with circular base):

Volume = pi times the square of the radius of the base times the height

V = pr2h Volume of a cube:

Volume = the length of one side cubed

V = S3

Volume of a cone:

Volume = 1/3 times pi times the square of the radius of the base times the height

V = 1/3 pr2h

Volume of a rectangular solid:

Volume = length times width times height

V = lwh

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