Math in Action 2013-2014
First Name: ____________________
Last Name: ____________________
Grade: _______ Teacher: ________________
On the previous math challenge, you solved problems involving measurement of distance. In this challenge,
you will solve problems involving capacity, or volume, which is a measure of how much a container can hold.
For US standard units, we use gallons, quarts, pints, cups, and ounces. For metric units, we use liters and
milliliters. Other volume measurements we use are in³ (cubic inches), ft³ (cubic feet), cm³ (cubic centimeters),
and m³ (cubic meters).
US Standard Units - Capacity
1 gallon (gal) = 4 quarts (qt)
1 quart (qt) = 2 pints
1 pint (pt) = 2 cups (c)
1 cup (c) = 8 ounces (oz) = 16 tablespoons (tbsp)
Gallons are used when we want to measure the capacity of very large containers
like tubs or pools. If your family drinks milk, you may also see milk in a gallon
container in your refrigerator.
When we want to measure the capacity of large containers such
as juice, soda, or milk, we use quarts. Pints are used when we measure the capacity of smaller containers of
milk, juice, or paint samples. Most recipes will use cups and tablespoons to measure the ingredients you
need.
Metric Units – Capacity
1 liter (l) = 1000 ml = 1000 cm³
1 milliliter (ml)
A half of a large bottle of a soda is about 1 liter. A milliliter is half of an eyedropper or about 20 drops of water.
Your solutions are due on Thursday, March 6 (before 3 p.m.). Submit your solutions to your teacher or to your
school office.
Kinder & First Grade: Solve at least 4 problems correctly.
Second & Third Grade: Solve at least 7 problems correctly.
Fourth and Fifth Grade: Solve at least 12 problems correctly.
1.
Mary’s cat drinks 2 cups of milk every day. How many days will it take her cat to drink
one gallon or 16 cups of milk?
2.
A small tank contained 12 gallons of water. Sam scooped out 4 gallons of water. He
then poured 7 gallons of water into the tank. How many gallons of water is in the tank
now?
Estimate the capacity of these paint cans.
paint
a) 5 ounces
b) 5 quarts
c) 5 milliliter
3.
Answer:
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4.
Container A can hold 7 liters more water than container B. Container B can hold 15
liters of water. How much water can the two containers hold in all?
Answer:
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Math in Action 2013-2014
5.
Lina bought 6 bottles of mineral water. Each bottle contains 2 cups of mineral water.
She poured all the mineral water into jugs. Each jug contained 3 cups of mineral water.
How many jugs did she use?
6.
Dana’s mom bought 2 gallons of milk at the beginning of the week. At the end of this
week they have 2 cups of milk left. How many cups did they drink this week?
7.
A cube that measures 1 inch on each side have a volume of 1 in³. What would be the
volume of a cube that measures 3 inches on each side?
Answer:
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Container P holds 28 pints of water. Container Q holds 4 cups more water than
container P. Container R hold 9 pints less than container Q. How many pints of water
are in container R?
Answer:
If a cubic foot is equal to 7.48 US gallons, how many gallons of water does the tank
below with measurement of 4 feet by 2 feet by 2.5 feet hold when it is full?
Answer:
10. Container A is filled with 4 times as much water as container B. Container C is filled
Answer:
8.
9.
with 2 gallons less water than container B. When combined, container C and container
D have the same volume of water as container A. If container A is filled with 16 gallons
of water, what is the volume of water in container D?
11. A thermos can hold 2 liters of water. A jug can hold 9 times as much water as the
thermos. If the volume of a bottle is 3 liters, how many bottles can be filled with all the
water from the jug?
12. A rectangular container, measuring 25 cm by 21 cm by 18 cm, is 3/5 filled with water.
How much more water can it hold? Give your answer in liters and milliliters. (1 liter =
1000 cm³).
13. What is the maximum number of cubes measuring 3 cm that can be cut from a
wooden block that measures 36 cm by 21 cm by 12 cm?
14. A tank was 2/3 filled with water. The tank become ¾ filled with water when another 5
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liter of water was added. How much more water is needed to fill the tank completely?
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15. Tank A contained 3 times as much oil as tank B. After 62.5 gallons of oil were removed
from tank A and 14 gallons were removed from tank B, tank B contained 3.5 gallons
more oil than tank A. What was the new capacity in tank B?
Answer:
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