Measurements and Conversion

Fill-in-the-blank practice flashcards covering metric/US unit conversions, prefix values, and 3D surface area and volume formulas from the lecture notes.

The Metric System is based on meters for length, liters for volume or capacity, and __________ for weight or mass.

grams

In U.S. System to Metric System conversions, $1\,\text{inch}$ is equal to __________ centimeters.

$$2.54$$

In metric prefixes, the prefix mega- corresponds to a power of 10 equal to __________.

$$10^6$$

In metric prefixes, the symbol $\mu\text{-}$ represents the prefix __________.

micro-

When converting temperature from Fahrenheit to Celsius, the formula used is $C = \text{\_\_\_\_\_\_\_\_\_\_}$.

$$\frac{5}{9}(F - 32)$$

When converting temperature from Celsius to Fahrenheit, the formula used is $F = \text{\_\_\_\_\_\_\_\_\_\_}$.

$$\frac{9}{5}C + 32$$

The total surface area $SA$ of a rectangular prism with length $l$, width $w$, and height $h$ is given by $SA = \text{\_\_\_\_\_\_\_\_\_\_}$.

$$2lw + 2lh + 2wh$$

The volume $V$ of a cylinder with base radius $r$ and height $h$ is given by $V = \text{\_\_\_\_\_\_\_\_\_\_}$.

$$\pi r^2 h$$

The surface area $SA$ of a cone with base radius $r$ and slant height $l$ is given by $SA = \text{\_\_\_\_\_\_\_\_\_\_}$.

$$\pi r^2 + \pi rl$$

The slant height $l$ of a cone with radius $r$ and height $h$ is calculated using $l = \text{\_\_\_\_\_\_\_\_\_\_}$.

$$\sqrt{r^2 + h^2}$$

The surface area $SA$ of a sphere with radius $r$ is given by $SA = \text{\_\_\_\_\_\_\_\_\_\_}$.

$$4\pi r^2$$

The volume $V$ of a sphere with radius $r$ is given by $V = \text{\_\_\_\_\_\_\_\_\_\_}$.

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

The volume $V$ of a square pyramid with base side length $a$ and perpendicular height $h$ is given by $V = \text{\_\_\_\_\_\_\_\_\_\_}$.

$$\frac{1}{3}a^2 h$$

In U.S. fluid measurements, $1\,\text{gallon}$ is equal to __________ fluid ounces.

$$128$$

In metric area units, $1\,\text{hectare (ha)}$ is equal to __________ are (a).

$$100$$

The unit of temperature primarily used in scientific experiments like chemistry and physics is __________.

Kelvin