General Science, Mathematics, and TechnologyMathematics |
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 = pr^{2} or A = 1/4pd^{2}
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 = 4pr^{2} or A = pd^{2}
Area of a square:
Area = length times width, or length of one side squared A = s^{2}
Area of a cube:
Area = square of the length of one side times 6
A = 6s^{2}
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 = pr^{2}h 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 pr^{2}h
Volume of a rectangular solid:
Volume = length times width times height
V = lwh