Geometric Formulas for Perimeter, Area, Volume, and Surface Area

A collection of fill-in-the-blank practice flashcards covering perimeter, area, volume, and surface area for standard geometric shapes based on the provided lecture notes.

The perimeter of a square with side length $s$ is ________.

$$P = 4s$$

The area of a square with side length $s$ is ________.

$$A = s^2$$

The perimeter of a rectangle with length $l$ and width $w$ is ________.

$$P = 2l + 2w$$

The area of a rectangle with length $l$ and width $w$ is ________.

$$A = lw$$

The perimeter of a triangle with side lengths $a$, $b$, and $c$ is ________.

$$P = a + b + c$$

The area of a triangle with base $b$ and height $h$ is ________.

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

The perimeter of a trapezoid with sides $a$, $c$ and bases $b_1$, $b_2$ is ________.

$$P = a + b_1 + b_2 + c$$

The area of a trapezoid with height $h$ and bases $b_1$ and $b_2$ is ________.

$$A = \frac{1}{2}h(b_1 + b_2)$$

The circumference of a circle with radius $r$ is ________.

$$C = 2\frac{\pi}{}r$$

The circumference of a circle with diameter $d$ is ________.

$$C = \frac{\pi}{}d$$

The area of a circle with radius $r$ is ________.

$$A = \frac{\pi}{}r^2$$

The perimeter of a parallelogram with side lengths $a$ and $b$ is ________.

$$P = 2a + 2b$$

The area of a parallelogram with base $b$ and height $h$ is ________.

$$A = bh$$

The volume of a cylinder with radius $r$ and height $h$ is ________.

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

The surface area of a cylinder with radius $r$ and height $h$ is ________.

$$SA = 2\frac{\pi}{}rh + 2\frac{\pi}{}r^2$$

The volume of a square or rectangle pyramid with base area $B$ and height $h$ is ________.

$$V = \frac{1}{3} \times \text{Area of base} \times h$$

The volume of a rectangular prism (box) with length $l$, width $w$, and height $h$ is ________.

$$V = lwh$$

The surface area of a rectangular prism (box) with length $l$, width $w$, and height $h$ is ________.

$$SA = 2lw + 2lh + 2wh$$

The volume of a cube with side length $s$ is ________.

$$V = s^3$$

The surface area of a cube with side length $s$ is ________.

$$SA = 6s^2$$

The volume of a sphere with radius $r$ is ________.

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

The surface area of a sphere with radius $r$ is ________.

$$SA = 4\frac{\pi}{}r^2$$

The volume of a cone with radius $r$ and height $h$ is ________.

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

The surface area of a cone with radius $r$ and height $h$ is ________.

SA = \frac{\pi}{}r\text{\sqrt{r^2 + h^2}} + \frac{\pi}{}r^2