Podcast
Questions and Answers
What is the definition of volume?
What is the definition of volume?
- The amount of liquid a figure can hold
- The amount of space inside a 3-dimensional figure (correct)
- The size of a solid figure
- The amount of water in the tank
What is the unit of measurement for volume?
What is the unit of measurement for volume?
- Liters
- Cubic units (correct)
- Milliliters
- Pints
How many pints make 1 quart?
How many pints make 1 quart?
- 4 pints
- 8 pints
- 1 pint
- 2 pints (correct)
What is the formula for the volume of a rectangular prism?
What is the formula for the volume of a rectangular prism?
How many times does Max need to fill the 1-pint container to equal 2 gallons of water?
How many times does Max need to fill the 1-pint container to equal 2 gallons of water?
How many times will Max need to fill the pint container to fill the fish tank?
How many times will Max need to fill the pint container to fill the fish tank?
What is the formula to calculate the volume of a box?
What is the formula to calculate the volume of a box?
If a bucket can hold 3 gallons of water, how many quarts can it hold?
If a bucket can hold 3 gallons of water, how many quarts can it hold?
What is the unit of measurement for the volume of Katie's gift box?
What is the unit of measurement for the volume of Katie's gift box?
If a container can hold 5 quarts of water, how many gallons is this?
If a container can hold 5 quarts of water, how many gallons is this?
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Study Notes
What is Volume?
- Volume is the amount of space inside a 3-dimensional solid figure.
- These figures have three parts: length, width, and height.
- Volume is measured in cubic units.
What is Capacity?
- Capacity is how much liquid a 3-dimensional figure can hold.
- Capacity can be measured in multiple ways, including:
- Metric system: liters and milliliters
- Customary system (English system): cups, pints, quarts, and gallons
- 1,000 milliliters = 1 liter (metric system)
- Conversions in customary system:
- 2 cups = 1 pint
- 2 pints = 1 quart
- 4 quarts = 1 gallon
Finding Volume
- The formula for the volume of a rectangular prism is: Volume = length x width x height
- To find the volume, measure the dimensions and multiply them.
Measuring Capacity
- To measure capacity, convert between units (e.g., gallons to quarts to pints)
- Example: 1 gallon = 4 quarts, and 1 quart = 2 pints, so 1 gallon = 8 pints
Examples and Practice
- Example 1: Katie's gift box has a volume of 96 cubic inches (length x width x height).
- Example 2: Mark's bucket can hold 2 gallons of water, which is equal to 8 quarts.
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