Which physical quantity is measured using the SI base unit kilogram (kg)?
What is the SI base unit for the physical quantity time?
The SI base unit Kelvin ($K$) is used to measure which fundamental quantity?
Which of the following units is NOT one of the seven fundamental SI base units?
The Ampere ($A$) is the SI base unit for measuring which fundamental quantity?
What is the SI base unit designated for measuring the amount of substance?
The meter ($m$) is the SI base unit for which fundamental quantity?
What physical quantity is measured in Candela ($cd$)?
Which multiplier corresponds to the metric prefix 'kilo' ($k$)?
The prefix 'centi' ($c$) represents which power of $10$?
What is the metric prefix associated with a multiplier of $10^{-6}$?
How many meters ($m$) are there in $1$ kilometer ($km$)?
Which of the following metric prefixes represents the largest magnitude?
The metric prefix 'Mega' (M) represents what associated multiplier?
Which metric prefix corresponds to a multiplier of $10^{-3}$?
A solid rectangular prism is scaled up uniformly such that its linear dimensions are increased by a factor of $2.5$. If the original volume was $V$ and the original surface area was $A$, what are the new volume $V'$ and new surface area $A'$ in terms of $V$ and $A$?
A rectangular storage tank measuring $4\ m$ long, $2\ m$ wide, and $1.5\ m$ high is initially half-full of water. A solid metal cube with a side length of $50\ cm$ is lowered completely into the tank. Assuming the cube is fully submerged and does not overflow, by how many centimeters does the water level rise?
A municipal park covers an area of $5.5$ hectares. If $1$ hectare is equal to $10,000\ m^2$, and the maintenance crew needs to apply fertilizer at a rate of $30\ g$ per square meter, calculate the total mass of fertilizer required in kilograms.
A large right circular cone has a height of $12\ cm$ and a radius of $4\ cm$. A plane parallel to the base cuts the cone exactly $3\ cm$ from the apex. What is the volume of the smaller cone that is removed by this cut?
A cylindrical water tower has a diameter of $8\ m$ and a height of $15\ m$. Maintenance requires painting the entire outer curved surface and the circular top (the bottom is resting on the ground and is not painted). What is the total area that needs painting, rounded to the nearest square meter? (Use $\pi \approx 3.14$)
A scientist measures the weight of a $5 \text{ kg}$ sample on Earth using a calibrated spring scale, yielding $W_E$. The sample is then transported to Planet X, where the gravitational acceleration is $g_X = 2g$. The sample is placed inside an elevator on Planet X that is accelerating upward at a rate of $0.5g$. What is the ratio of the apparent weight measured on the scale on Planet X ($W_X$) to the weight measured on Earth ($W_E$)? (Assume $g$ is the standard acceleration due to gravity on Earth.)
A student measures an unknown mass using two highly precise devices: Device A (a beam balance) and Device B (a spring scale). The student takes both measurements on Earth and then repeats them in a laboratory on the Moon, where the gravitational acceleration is approximately $g_M = g/6$. Which statement accurately describes the comparison of the two measurements taken on the Moon relative to those taken on Earth?
What is the base unit of time in the International System of Units (SI)?
A standard hour consists of $3,600$ seconds. How many seconds are there in $4.5$ hours?
How many minutes are equivalent to two and a half days?
If an average solar year is approximated as $365.25$ days (to account for leap years), calculate the total number of seconds in one geological millennium ($1000$ years). Express your answer in scientific notation.
The astronomical unit (AU) is defined by the average distance between the Earth and the Sun, approximately $1.496 \times 10^{11}$ meters. Given the speed of light $c \approx 2.998 \times 10^8$ m/s, calculate the time it takes for light to travel $1$ AU, expressing the result rounded to two decimal places in minutes.
What temperature represents absolute zero, the lowest theoretically possible temperature, in the Kelvin scale?
Convert the boiling point of water ($100^{\circ}\text{C}$) to the Kelvin scale. Use the approximation $\text{K} = {^{\circ}\text{C}} + 273$.
How does the magnitude (size) of a temperature interval of $1^{\circ}\text{C}$ compare to an interval of $1\text{ K}$?
A healthy human body temperature is approximately $310\text{ K}$. What is this temperature in the Celsius scale? Use the approximation ${^{\circ}\text{C}} = \text{K} - 273$.
Convert $3.5$ kilometers to meters.
How many milligrams ($mg$) are in $0.45$ grams ($g$)?
A scientist measures a sample volume of $1.25$ liters ($L$). How many milliliters ($mL$) is this?
Convert $75$ milligrams ($mg$) to grams ($g$).
A distance is measured as $500,000$ centimeters ($cm$). What is this distance in kilometers ($km$)?
Calculate the density of a substance in $\text{g/cm}^3$ if its density is measured as $1.25 \times 10^3 \text{ kg/m}^3$.
A large area of $5.0 \text{ km}^2$ is equivalent to how many square millimeters ($\text{mm}^2$)?
A water reservoir holds $25 \text{ ML}$ (megaliters) of water. Express this volume in cubic centimeters ($\text{cm}^3$).
A high-speed object is traveling at $27,000 \text{ km/h}$. What is its speed in meters per second (m/s)?
A batch of material has a mass of $0.005 \text{ Mg}$ (megagrams). How many micrograms ($\mu\text{g}$) does this represent?