Formulas for related rates

Pythagorean Theorem: a² + b² = c²

Area of a Rectangle: A = bh

Area of a Square: A = s²

Area of a Circle: A = πr²

Circumference of a Circle: C = 2πr

Perimeter of a Rectangle: P = 2l + 2w

Perimeter of a Square: P = 4s

Volume of a Sphere: V = (4/3)πr³

Volume of a Cylinder: V = πr²h

Volume of a Cube: V = s³

Volume of a Rectangular Prism: V = lwh

Surface Area of a Sphere: SA = 4πr²

Surface Area of a Cube: SA = 6s²

Surface Area of a Rectangular Prism: SA = 2lw + 2lh + 2wh