9.3.0: Exercises

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?

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?

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