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9.3.0: Exercises

  • Page ID
    171747
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    For the following exercises, determine the most reasonable value for each volume.

    Exercise \(\PageIndex{1}\)

    Fish tank:
    71,120 km3, 71,120 m3, 71,120 cm3, or 71,120 mm3

    Exercise \(\PageIndex{2}\)

    Juice box:
    125,000 L, 125 L, 125,000 mL, or 125 mL

    Exercise \(\PageIndex{3}\)

    Box of cereal:
    2,700 km3, 2,700 m3, 2,700 cm3, or 2,700 mm3

    Exercise \(\PageIndex{4}\)

    Water bottle:
    5 L, 0.5 L, 5 mL, or 0.5 mL

    Exercise \(\PageIndex{5}\)

    Shoe box:
    3,600 km3, 3.6 m3, 3,600 cm3, or 3,600 mm3

    Exercise \(\PageIndex{6}\)

    Swimming pool:
    45 L, 45,000 L, 45 mL, or 45,000 mL

    For the following exercises, convert the given volume to the units shown.

    Exercise \(\PageIndex{7}\)

    38,861 mm3 = __________ cm3

    Exercise \(\PageIndex{8}\)

    13 dm3 = __________ mL

    Exercise \(\PageIndex{9}\)

    874 cm3 = __________ mm3

    Exercise \(\PageIndex{10}\)

    4 m3 = __________ cm3

    Exercise \(\PageIndex{11}\)

    0.00003 m3 = _________ mm3

    Exercise \(\PageIndex{12}\)

    57,500 mm3 = _______ L

    Exercise \(\PageIndex{13}\)

    0.007 m3 = __________ L

    Exercise \(\PageIndex{14}\)

    8,600 cm3 = _________ m3

    Exercise \(\PageIndex{15}\)

    45.65 m3 = _______ cm3

    Exercise \(\PageIndex{16}\)

    0.06 m3 = __________ dm3

    Exercise \(\PageIndex{17}\)

    0.081 m3 = _________ mL

    Exercise \(\PageIndex{18}\)

    3,884,000 mm3 = _______ m3

    For the following exercises, determine the volume of objects with the dimensions shown.

    Exercise \(\PageIndex{19}\)

    \(30\,{\text{cm}} \times 20\,{\text{m}} \times 10\,{\text{cm}}\)
    \(V =\) ________ L

    Exercise \(\PageIndex{20}\)

    \(17\,{\text{mm}} \times 3\,{\text{cm}} \times 2.5\,{\text{cm}}\)
    \(V =\) ________ mL

    Exercise \(\PageIndex{21}\)

    \(3.4\,{\text{m}} \times 2.5\,{\text{m}} \times 10\,{\text{m}}\)
    \(V =\) ________ m3

    Exercise \(\PageIndex{22}\)

    \(325\,{\text{mm}} \times 20\,{\text{cm}} \times 0.05\,{\text{m}}\)
    \(V =\) ________ cm3

    Exercise \(\PageIndex{23}\)

    \(3.7\,{\text{m}} \times 4\,{\text{m}} \times 5.5\,{\text{m}}\)
    \(V =\) ________ m3

    Exercise \(\PageIndex{24}\)

    \(18\,{\text{dm}} \times 0.8\,{\text{m}} \times 150\,{\text{cm}}\)
    \(V =\) ________ L

    Exercise \(\PageIndex{25}\)

    \(15\,{\text{cm}} \times 400\,{\text{mm}} \times 3\,{\text{dm}}\)
    \(V =\) ________ mL

    Exercise \(\PageIndex{26}\)

    \(3.5\,{\text{cm}} \times 200\,{\text{mm}} \times 0.7\,{\text{dm}}\)
    \(V =\) ________ cm3

    Exercise \(\PageIndex{27}\)

    \(35\,{\text{m}} \times 1.2\,{\text{m}} \times 0.007\,{\text{km}}\)
    \(V =\) ________ m3

    Exercise \(\PageIndex{28}\)

    A box has dimensions of \(20\,{\text{cm}} \times 15\,{\text{cm}} \times 30\,{\text{cm}}\). The box currently holds 1,250 cm3 of rice. How many cubic centimeters of rice are needed to completely fill the box?

    Exercise \(\PageIndex{29}\)

    The dimensions of a medium storage unit are \(4\,{\text{m}} \times 4\,{\text{m}} \times 8\,{\text{m}}\). What is the volume of a small storage area with dimensions half the size of the medium unit?

    Exercise \(\PageIndex{30}\)

    How much liquid, in liters, can a container with dimensions of \(40\,{\text{cm}} \times 20\,{\text{cm}} \times 120\,{\text{cm}}\) hold?

    Exercise \(\PageIndex{31}\)

    What is the volume of the rectangular prism that is shown?

    A rectangular prism. The length, width, and height of the prism are marked 10 centimeters, 2 centimeters, and 5 centimeters.

    Exercise \(\PageIndex{32}\)

    A box is 15 centimeters long and 5 centimeters wide. The volume of the box is 225 cm3. What is the height of the box?

    Exercise \(\PageIndex{33}\)

    Kareem mixed two cartons of orange juice, three 2-liter bottles of soda water and six cans of cocktail fruits to make a fruit punch for a party. The cartons of orange juice and cans of cocktail fruits each have a volume of 500 cm3. How much punch, in liters, did Kareem make?

    Exercise \(\PageIndex{34}\)

    A holding tank has dimensions of \(16\,{\text{m}} \times 8\,{\text{m}} \times 8\,{\text{m}}\). If the tank is half-full, how more liters of liquid can the tank hold?

    Exercise \(\PageIndex{35}\)

    A large plastic storage bin has dimensions of \(16\,{\text{cm}} \times 16\,{\text{cm}} \times 16\,{\text{cm}}\). A medium bin’s dimensions are half the size of the large bin. A small bin’s dimensions are the size of the medium bin. If the storage bins come in a set of 3—small, medium, and large—what is the total volume of the storage bin set in cubic centimeters?

    Exercise \(\PageIndex{36}\)

    A soft serve ice cream machine holds a 19.2 liter bag of ice cream mix. If the average serving size of an ice cream cone is 120 mL, how many cones can be made from each bag of mix?

    Exercise \(\PageIndex{37}\)

    A shipping carton has dimensions of \(0.5\,{\text{m}} \times 0.5\,{\text{m}} \times 0.5\,{\text{m}}\). How many boxes with dimensions of \(50\,{\text{mm}} \times 50\,{\text{mm}} \times 50\,{\text{mm}}\) will fit in the shipping carton?

    Exercise \(\PageIndex{38}\)

    A recipe for chili makes 3.5 liters of chili. If a restaurant serves chili in 250 mL bowls, how many bowls of chili can they serve?

    Exercise \(\PageIndex{39}\)

    A contractor is building an in-ground pool. They excavate a pit that measures \(12\,{\text{m}} \times 9\,{\text{m}} \times 2.5\,{\text{m}}\). The dirt is being taken away in a truck that holds 30 m3. How many trips will the truck have to make to cart away all of the dirt?

    Exercise \(\PageIndex{40}\)

    A juice dispenser measures \(30\,{\text{cm}} \times 30\,{\text{cm}} \times 30\,{\text{cm}}\). How many 375 mL servings will a full dispenser serve?


    9.3.0: Exercises is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

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