Understanding Volume and Capacity
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Understanding Volume and Capacity

Created by
@AccomplishedBixbite

Questions and Answers

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?

  • Liters
  • Cubic units (correct)
  • Milliliters
  • Pints
  • 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?

    <p>Volume = length x width x height</p> Signup and view all the answers

    How many times does Max need to fill the 1-pint container to equal 2 gallons of water?

    <p>8 times</p> Signup and view all the answers

    How many times will Max need to fill the pint container to fill the fish tank?

    <p>16 times</p> Signup and view all the answers

    What is the formula to calculate the volume of a box?

    <p>V = l x w x h</p> Signup and view all the answers

    If a bucket can hold 3 gallons of water, how many quarts can it hold?

    <p>12 quarts</p> Signup and view all the answers

    What is the unit of measurement for the volume of Katie's gift box?

    <p>Cubic inches</p> Signup and view all the answers

    If a container can hold 5 quarts of water, how many gallons is this?

    <p>1.25 gallons</p> Signup and view all the answers

    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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    Description

    Learn about the concepts of volume and capacity, including how to measure them and their units. This quiz covers the basics of 3-dimensional figures and liquids.

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