Science 1.03 Volume and Density - Guided

Practice!

1. If mass stays same, volume decreases density increases! 2. If mass is measured in kilograms and the volume in cubic centimeters, what is the density unit? kg/cm3

What is a cylinder? Give an example of an object that's a cylinder.

A solid shape with one curved surface and two circular bases. Ex. Soda Can Cylinder Volume = Pi • radius squared • can height V = πr2h

What is radius? When might you need to measure an object's radius?

A straight line from the center to the circumference of a circle or sphere (it is half the diameter!) You need radius to find the volume of a cylinder, cone or sphere (bc they all involve circles!)

Volume Formulas!

Cube. V = s3 (s = side) Cylinder. V = πr2h (h = height) Cone. V = 1/3 πr2h (h = height) Sphere. V = 4/3πr3

What is the formula for measuring density of all matter? Explain how this formula works.

Density=mass/volume Density is calculated by dividing an object's mass by its volume. If you are given density, you can also use the formula to find mass or volume

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When might a technique called water displacement be used?

For unique shaped objects like a rock or the human body. These are not definite shapes like a cube or cylinder, so there is no formula to calculate their volume. Instead, place the object in a container of water. The difference between the water levels before and after the object is placed represents the volume!

Volume of a Gas

Gases take the shape of the container they are in. Therefore, it is measured similar to solids. Ex. If a gas fills a cylinder, then find the the volume of that cylinder to determine the volume of the gas!

Explain in your own words how volume is measured.

Liquid Volume: takes the shape of the container it is in. To find liquid volume: pour it into a measuring cup and read the line it fills up to (like children's Motrin). Ex of units: L or mL Solid Volume: When an object has a definite shape (ex. ball, a can, or a brick). To find solid volume, take measurements with a tool like a ruler. Ex of units: m3, cm3, ft3

What is height? Give an example.

The measurement of an object's top-to-bottom dimension. Ex. how high a can is or how tall a person is.

When an object has a definite shape, how is it measured? Give an example of an object and the tool you would use to measure it.

This means it is a solid, so a formula is used to measure it. The formula depends on its shape. You would use a ruler to measure it: Ex. Shoebox Rectangle Volume = length x width x height V= l • w • h Ex. Rubix Cube Cube Volume = length x width x height since all sides are equal, it is: V= s3

What are volume and density? How do they relate to each other?

Volume: amount of space a substance or object occupies Density: the degree to which something is compacted They relate to each other because: Density = the quantity of mass per unit volume. Density Formula Density = mass/volume Volume units: Liquid: Liters (L) or Gallons Solid units: cm3 or in3

Think about objects that have density. Compare two types of foods by explaining which one is denser.

Yogurt is denser than water, because it is more compacted or has more ingredients.

What is matter?

anything that has mass and takes up space

How do you determine the density of a substance or object?

density = mass divided by volume D = mass/volume

What is the relationship between mass, volume, and density?

density is how much mass exists in a certain space or volume. 1. Density is directly proportional to mass. If mass goes up, density goes up! If mass goes down, density goes down! 2. Density is inversely proportional to volume. If volume goes up, density goes down! If volume goes down, density goes up!

How is volume measured for liquids and solids?

liquids: measured in Liters (L) or Milliliters (mL) for metric solids: measured in meters cubed (m3), centimeters cubed (cm3), feet cubed (ft) depending on the unit used to measure it.