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9.3 Measuring Volume

Cubic units and liters side by side, the link that ties one to the other, and cubed conversion factors applied to containers and capacities.

Contemporary Mathematics, 9.3 Measuring Volume

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11 exercises

9.3 Exercise 1

A grandparent wants to send cookies to their grandchild away at college. Which represents a reasonable value for the volume of a box to ship the cookies:

  1. 3,375 km3,
  2. 3,375 m3, or
  3. 3,375 cm3?
2.5

9.3 Exercise 3

A food manufacturer is prototyping new packaging for one of its most popular products. Which represents a reasonable value for the volume of the box:

  1. 2 dm3,
  2. 2 cm3, or
  3. 2 mm3?
2.5

9.3 Exercise 5

A farmer has a hay loft. They calculate the volume of the hayloft as 64 cm3. Does the calculation make sense? Explain your answer.

2.5

9.3 Exercise 7

A pencil case has a volume of 1,700 cm3. What is the volume in cubic millimeters?

2.5

9.3 Exercise 9

A shipping container has a volume of 33.2 m3. What is the volume in cubic centimeters?

2.5

9.3 Exercise 11

A holding tank at the local aquarium has a volume of 22,712,000,000 cm3. What is the volume in cubic meters?

2.5

9.3 Exercise 13

A holding tank at the local aquarium has a volume of 22,712,000,000 cm3? What is the capacity of the holding tank in liters?

2.5

9.3 Exercise 15

An airplane used 150 m3 of fuel to fly from New York to Hawaii. How many liters of fuel did the airplane use?

2.5

9.3 Exercise 17

How many liters can a pitcher with a volume of 8,000,000 mm3 hold?

2.5

9.3 Exercise 19

A cubic shipping carton’s dimensions measure 2m×2m×2m2 m \times 2 m \times 2 m. A company wants to fill the carton with smaller cubic boxes that measure 10⁢cm×10⁢cm×10⁢cm10 cm \times 10 cm \times 10 cm. How many of the smaller boxes will fit in each shipping carton?

2.5

9.3 Exercise 21

A carton of juice measures 6 cm long, 6 cm wide and 20 cm tall. A factory produces 28,800 liters of orange juice each day. How many cartons of orange juice are produced each day?

2.5

Adapted from Contemporary Mathematics © 2023 Rice University. Licensed under CC BY 4.0. Source: Contemporary Mathematics. Imported at revision fa7c1a1.