General Mathematics: Measurement, Geometry, Scale, and Conversions Vocabulary

Comprehensive vocabulary flashcards covering unit conversions, surface area, volume, scale drawing interpretations, and currency/time/temperature conversions.

Metric System

A measurement system based on powers of $10$, where units are related by multiples or fractions of ten.

English System

A measurement system that uses conversion relationships that do not follow powers of ten, requiring specific conversion equivalences before writing conversion factors.

Fahrenheit to Celsius Conversion Formula

The formula ${^\circ\text{C}} = ({^\circ\text{F}} - 32) \times \frac{5}{9}$, used to adjust for different scale zero points and step sizes.

Surface Area

The total area of all the outer faces and surfaces of a three-dimensional object.

Rectangular Prism

A solid figure with six rectangular faces where opposite faces are congruent and parallel, with surface area formula $\text{SA} = 2lw + 2lh + 2wh$.

Cube

A special rectangular prism with six congruent square faces and equal edge lengths, with surface area formula $\text{SA} = 6s^2$.

Cylinder

A solid figure with two congruent circular bases connected by one curved surface, with surface area formula $\text{SA} = 2\pi r^2 + 2\pi rh$.

Cone

A solid figure with one circular base and one curved surface that tapers to a vertex, with surface area formula $\text{SA} = \pi r^2 + \pi rs$.

Sphere

A perfectly round solid figure with one continuous curved surface where all points on its surface are equidistant from its center.

Square Pyramid

A solid figure with one square base and four triangular faces meeting at a common vertex, with surface area formula $\text{SA} = b^2 + 2bs$.

Volume

The amount of three-dimensional space that an object or substance occupies.

Volume of a Prism

The space occupied by a prism, calculated by multiplying the area of its base by its height.

Volume of a Pyramid

The space occupied by a pyramid, which is equal to one-third of the volume of a prism having the same base area and height ($V = \frac{1}{3}Bh$).

Volume of a Cone

The space occupied by a cone, which is equal to one-third of the volume of a cylinder with the same base area and height ($V = \frac{1}{3}\pi r^2 h$).

Volume of a Sphere

The space occupied by a sphere, calculated solely using its radius with the formula $V = \frac{4}{3}\pi r^3$.

Scale Drawing

A drawing of an object or place that is larger or smaller than the actual object while maintaining proportionality, relative position, and correspondence.

Unit Scale

A scale representation that compares two different units of measurement, such as $1\,\text{cm} = 100\,\text{m}$.

Ratio Scale

A scale representation that compares measurements using the same unit, such as $1:10\,000$.

Graphic Scale (Scale Bar)

A line or bar drawn on a map or blueprint that represents physical distance in real life.

Scale Factor

A number that shows how much a drawing is enlarged or reduced compared to the actual object when both are expressed in the same units.

Currency Conversion

The process of changing the value of one currency into its equivalent value in another currency using an exchange rate.

Exchange Rate

The value of one currency in relation to another currency.

Time Zone

A region that follows the same standard time.

Coordinated Universal Time (UTC)

The primary global time standard based on precise atomic clocks that serves as the reference point for world timekeeping.

UTC Offset

The number of hours a location standard time is ahead of (e.g., $\text{UTC}+8$) or behind (e.g., $\text{UTC}-4$) Coordinated Universal Time.

Kelvin Scale

The standard unit of temperature used in scientific and laboratory work, based on absolute zero as the lowest possible temperature.