Geometry Formulas You Should Know for Calculus

Vocabulary flashcards reviewing fundamental two-dimensional and three-dimensional geometric formulas essential for calculus.

Perimeter

The sum of all side lengths.

Area of a Triangle

$$A = \frac{1}{2}bh$$

Area of a Rectangle

$$A = lw$$

Circumference of a Circle

$$C = 2\pi r$$

Area of a Circle

$$A = \pi r^2$$

Surface Area of a Rectangular Prism

The sum of all areas of all faces.

Volume of a Rectangular Prism

$$V = lwh$$

Surface Area of a Cylinder

$SA = 2\pi r^2 + 2\pi rh$ (the sum of 2 circles and the rectangle around the middle).

Volume of a Cylinder

$$V = \pi r^2 h$$

Surface Area of a Cone

$SA = \pi rl + \pi r^2$ (the curvy part around the middle plus the circle on the bottom).

Volume of a Cone

$$V = \frac{1}{3}\pi r^2 h$$

Surface Area of a Sphere

$$SA = 4\pi r^2$$

Volume of a Sphere

$$V = \frac{4}{3}\pi r^3$$