NAME:______
Unit 8 Test Review
Capacity, Weight, Volume, Temperature, and Time
ANSWER KEY
Capacity Conversions:
Notes-STAAR Chart, Capacity Rulebook, and Capacity Conversions
PRACTICE:
1) Complete the following table:
Milliliters (ml) / Liters (l)4,000 / 4
5,000 / 5
7,000 / 7
11,000 / 11
2) Write an equation to represent the relationship between milliliters (ml) and liters (l)
(hint: equations need an = sign)
l = ml ÷ 1,000 (same as l = ml1,000 )
or
ml = l · 1,000 (same as ml = 1,000l)
3) 3 quarts is equivalent to:
6 pints,
34 gallons,
12 cups,
96 ounces
Weight Conversions:
Notes: STAAR Chart, Weight in the World
PRACTICE:
1) Abby bought a package of cookies weighing 1.5 pounds and another package of cookies that weighed 2 pounds 2 ounces. What was the combined weight of the two packages of cookies she bought?
(hint: find how many ounces 0.5 pounds is or what decimal of a pound 2 ounces is)
1.5 pounds is equivalent to 1 pound 8 ounces (there are 16 ounces in 1 pound so half of 1 pound is half the number of ounces = 8 ounces)
1 pound 8 ounces
+ 2 pounds 2 ounces
3 pounds 10 ounces
2 pounds 2 ounces is equivalent to 2.125 pounds (2 ounces out of 16 ounces to make 1 pound is 216= 18 which is 0.125)
1.500 pounds
+ 2.125 pounds
3.625 pounds (6251000 ÷ 62.562.5= 10 ounces16 ounces to make a pound)
2) 1500 mg = 1.5 g
mg ÷ 1,000 = g
1500 ÷ 1,000 = 1.5
3) Stop In Shop offers fudge for $4.00 per pound plus $1.25 for a box. Write an equation to find the total cost “c” in dollars for a box of fudge, given “w,” the weight in ounces. (hint: you must convert the ounces to pounds) *this is like the salad question we worked with on the Weight in the World packet-think of it like a process table and even draw one out if needed.
c = w ÷ 16 · 4 + 1.25
(total cost will be given weight in ounces divided by 16 to find weight in pounds, then multiply weight in pounds by $4 to get the total cost of fudge, then add $1.25 for the cost of the box)
Volume of a Rectangular Prism:
Notes: STAAR Chart and Explaining Volume
Identify what each variable means in the formula:
volume = length · width · height
volume = B (area of the base = length · width) · height
PRACTICE:
1) The table below shows how the volume of a rectangular prism changes as its length increases and its width remains the same.
Length (l) in ft / Volume (v) in cubic ft4 / 240
6 / 360
8 / 480
9 / 540
Which of the following equations best represents the relationship between the prism’s length (l) and its volume (v)? *testing strategy: look at table and decide what operation might be used: going from a smaller number (4, 6, etc) to a larger number (240, 360, etc) would mean we are going to grow the number by either multiplying or adding. You can eliminate option C using this reasoning.
A) v = 10l + 200 incorrect because it is only true for the first row, not a rule for the table
B) v = 60l correct because each volume is 60 times its length (you can check for each given length)
C) v = l ÷ 60 incorrect because numbers are getting larger rather than smaller, volume would be a decimal
D) v = l + 236 incorrect because it is only true for the first row, not a rule for the table
2) Seth is using a large shoe box to store his baseball cards. The length of the box is 12 inches and the height is 6 inches. If the volume of Seth’s box is 288 cubic inches, how wide is the box?
*First, decide which volume formula to use: v = lwh
*Next, substitute in for what you do know (leave variable for unknown): 288 = 12 · w · 6
*Then simplify the side of the equation with the variable: 288 = 72 · w
*Now divide each side of the equation by 72 to solve for w: 28872= 72 ·w72
*Solve to find w: 288 ÷ 72 = w
*Label answer (since this is a linear measurement, it is just inches): 4 in = w
3) Bernice has a yellow carton with a volume of 192 cubic cm. The area of the base is 16 cm². How tall is Bernice’s box?
*First, decide which volume formula to use: v = Bh
*Next, substitute in for what you do know (leave variable for unknown): 192 = 16 · h
*Now divide each side of the equation by 16 to solve for h: 19216= 16 ·h16
*Solve to find h: 192 ÷ 16 = h
*Label answer: 12 cm = h
Temperature:
Notes: Notes-Temperature
PRACTICE:
1) The temperature was 45⁰F at 9:37 am and 65⁰F at 4:40 pm. The temperature decreased by 3⁰F per hour until sunset at 6:40 pm. How much warmer was the temperature at 6:40 pm than it was at 9:37 am? (hint: use a number line to help with the integers) * The question asks for the difference in temp. between 6:40 pm and 9:37 am. You have to calculate the temperature at 6:40 pm. Since 6:40 pm is 2 hours past 4:40 pm and the temperature decreases by 3 ̊F each hour then multiply 3 · 2 to get 6 ̊F decrease from 4:40 pm. Since the temperature at 4:40 pm is 65 ̊F then subtract 6 ̊F to get a temperature of 59 ̊F at 6:40 pm. Then you can find the difference (subtract) 59 ̊F - 45 ̊F = 14 ̊F warmer. Reread the question with your answer to be certain you answered the question.
OR
Make a table to organize what you know (or draw a thermometer number line) and solve
Time / ̊F Change / Temp in ̊F9:37 am / given / 45
4:40 pm / given / 65
5:40 pm / -3 / 62
6:40 pm / -3 / 59
2) You would expect to bake cookies at 350 ⁰F or ⁰C ? (circle one) ̊F
Time:
Notes: STAAR Chart, Elapsed Time
PRACTICE:
1) Jacob’s CD will hold 1 hr 12 min 26 sec of music total. If he has recorded 38 min 38 seconds of music, how much music recording time remains on his CD? *Remember that there are 60 sec in 1 min and 60 min in 1 hour. You CANNOT simply line up and subtract using place value because that is based on 10s. You can borrow and regroup minutes and seconds:
1 hr 12 min 26 sec (borrow 1 m 1 hr 11 min 60+26 sec (borrow 1 hr 0 hr 11+60 min 86 sec
- 0 hr 38 min 38 sec which = 60 sec) - 0 hr 38 min 38 sec and regroup) - 0 hr 38 min 38 sec
48 sec 0 hr 33 min 48 sec
Answer: 33 min and 48 sec remain of recording time
2) The table below shows Erica’s class schedule:
Class / Start Time / End TimeMath / 8:00 am / 8:45 am
English / 8:50 am / 10:35 am
Science / 10:40 am / 11:30 am
Lunch / 11:30 am / 1:05 pm
History / 1:10 pm / 2:05 pm
a) How long is Erica’s lunch?
11:30 am to 12:30 pm = 1hr 0 min
12:30 pm to 1:00 pm = 0hr 30 min
1:00 pm to 1:05 pm = 0 hr 5 min
(add for elapsed time) = 1 hr 35 min for lunch
b) Which class is the longest? How long is it?
Math: 45 min
English: 1 hr 45 min (1 hour to 9:50 am, 10 minutes to 10:00 am, 35 min to 10:35 am)
Science: 50 min (10:40 am to 11:40 am would be 1 hour and 11:30am is 10 min before 11:40 am)
History: 55 min (1:10 pm to 2:10 pm would be 60 min, and it is 5 min before 2:10 for 55 min)
Answer: English is longest at 1 hr 45 min