Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Measuring Length: Accurately determining the distance between two points using a ruler or tape measure. Units include millimeters (), centimeters (), and meters (). Always start measuring from the mark, not the physical edge of the ruler.
Measuring Volume: Using a measuring cylinder to find the space occupied by a liquid. Units are usually milliliters () or cubic centimeters (). To be accurate, read the level at the bottom of the curve called the meniscus.
Parallax Error: This occurs when an object is viewed from an angle. To take an accurate measurement, your eyes must be level with the scale of the scientific equipment.
Measuring Mass: Determining the amount of matter in an object using an electronic balance or scales. Common units are grams () and kilograms (). Ensure the balance reads (tare) before placing the object.
Measuring Temperature: Using a thermometer to measure how hot or cold something is in degrees Celsius (). Do not let the thermometer bulb touch the sides or bottom of a heated beaker for an accurate liquid temperature.
Measuring Time: Using a stopwatch to record how long an event takes in seconds () or minutes ().
📐Formulae
💡Examples
Problem 1:
A student is measuring the volume of water in a cylinder. The water level curves slightly. Where should the student read the measurement if the bottom of the curve is at and the top edges are at ?
Solution:
Explanation:
In a measuring cylinder, we always read the volume at the bottom of the meniscus (the curve of the liquid) at eye level to ensure accuracy.
Problem 2:
If a stone is placed into a measuring cylinder containing of water, and the water level rises to , what is the volume of the stone?
Solution:
Explanation:
The volume of an irregular object is found by the displacement method: . Since , the result is .
Problem 3:
A scientist has a sample of powder with a mass of . What is this mass in grams ()?
Solution:
Explanation:
Since , we multiply to get .