Metric System Conversion and Volume Quiz
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Questions and Answers

What is the volume of a rectangular prism with a length of 8 cm, width of 4 cm, and height of 3 cm?

  • 64 cm³ (correct)
  • 96 cm³
  • 120 cm³
  • 144 cm³
  • If the base area of a rectangular prism is 36 cm² and its volume is 108 cm³, what is its height?

  • 3 cm
  • 2 cm
  • 4 cm (correct)
  • 5 cm
  • A rectangular prism has a width of 5 cm and a height of 7 cm. If its volume is 105 cm³, what is its length?

  • 6 cm
  • 4 cm
  • 3 cm (correct)
  • 2 cm
  • The base area of a rectangular prism is 25 cm². If its length is 5 cm and its volume is 125 cm³, what is its height?

    <p>5 cm</p> Signup and view all the answers

    What instrument is commonly used to measure the volume of a liquid?

    <p>Graduated cylinder</p> Signup and view all the answers

    What does 'cc' stand for when measuring volume?

    <p>Cubic centimeter (equivalent to 1 mL)</p> Signup and view all the answers

    What is the volume of a cube with length of 3 cm?

    <p>9 cm³</p> Signup and view all the answers

    How many cm are equivalent to 1.5 m?

    <p>1500 cm</p> Signup and view all the answers

    Which is larger, 1 deciliter or 100 mL?

    <p>1 deciliter</p> Signup and view all the answers

    What is the volume of a rectangular prism with length 5 cm, width 4 cm, and height 3 cm?

    <p>60 cm³</p> Signup and view all the answers

    Which is larger: 1 kg or 1000 g?

    <p>1 kg</p> Signup and view all the answers

    How many mL are equivalent to 2.5 L?

    <p>2500 mL</p> Signup and view all the answers

    What is the volume of a cube with length of 5 mm?

    <p>$125 mm^{3}$</p> Signup and view all the answers

    Which is smaller: 1 hectoliter or 1000 L?

    <p>$1 hL$</p> Signup and view all the answers

    How many milligrams (mg) are equivalent to 2.3 grams?

    <p>$2300 mg$</p> Signup and view all the answers

    What is the volume of a cube with length of 8 cm?

    <p>$512 cm^{3}$</p> Signup and view all the answers

    Study Notes

    Volume of Rectangular Prisms

    • Volume formula: Volume = length × width × height
    • Rectangular prism with a length of 8 cm, width of 4 cm, height of 3 cm has a volume of 96 cm³.
    • If the base area is 36 cm² and volume is 108 cm³, the height can be calculated as height = Volume / Base Area, resulting in a height of 3 cm.
    • A rectangular prism with width 5 cm, height 7 cm, and volume 105 cm³ can find its length using the formula length = Volume / (width × height). The length is 3 cm.
    • Base area of 25 cm², length of 5 cm, and volume of 125 cm³ gives height as height = Volume / Base Area, which results in a height of 5 cm.

    Measurement Instruments

    • A graduated cylinder is commonly used to measure the volume of a liquid.

    Volume Measurement Units

    • 'cc' stands for cubic centimeter, a unit of volume measurement.

    Volume of Cubes

    • Volume formula for a cube: Volume = side length³.
    • A cube with a side length of 3 cm has a volume of 27 cm³.
    • A cube with a side length of 5 mm has a volume of 125 mm³.
    • A cube with a side length of 8 cm has a volume of 512 cm³.

    Unit Conversions

    • 1.5 m is equivalent to 150 cm.
    • 2.5 L is equivalent to 2500 mL.
    • 1 kg is equal to 1000 g, hence they are equivalent.
    • 1 deciliter is larger than 100 mL.
    • 1000 L is larger than 1 hectoliter.
    • 2.3 grams is equivalent to 2300 milligrams.

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    Description

    Test your knowledge of metric system conversions and volume measurements with this quiz. Practice converting units between centimeters, meters, grams, kilograms, milliliters, and liters. Also, assess your understanding of volume measurement concepts and the instruments used to measure liquid volume.

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