Day 5:
Post-Test of Basic Knowledge
of Water Flow
Vocabulary Terms:
(1) One gallon of water contains __128__ oz.
(A) 32 oz
(B)
64 oz.
*(C) 128 oz
(D) 256 oz.
(2) How many cubic inches are in one gallon?
(A) 216 in3
*(B) 231 in3
(C) 246 in3
(D) 343 in3
(3) How many cubic inches are there in one cubic foot?
(A) 36 in3
(B) 144 in3
(C) 864 in3
*(D) 1728 in3
(4) In an algebraic equation, the variable x is the
Dependent / Independent variable.
(Circle the correct term)
(5) In an algebraic equation, the variable y is the
Dependent / Independent variable.
(Circle the correct term)
(6) Given the following set of data points:
Time(seconds)
0
3
5
7
Volume (oz)
0
36
64
84
Write an equation for the “best-fit” line. y = 12x
(7) Using the data in the previous problem, what is the
slope of the line. m = (84 – 36)/(7 – 3) = 12
(A) 11
(B) 11.5
* (C) 12
(D) 12.5
(8) Using the data from problem # 6, what is the average
rate of change in oz/sec.?
∆V/∆t = 12
(9) In a ¾ inch pipe, what is the cross-sectional area of the pipe in
square inches?
(A) 1.767 in2
(B) 1.326 in2
(C) 0.884 in2
*(D) 0.442 in2
(10) If water is flowing out of a 100 gal. cylindrical tank at
5 gal/min, how long will it take to empty the tank?
Time = Gal/Flow Rate = 100/5 = 20 minutes
(11) How fast will the water level fall in a tank that has a
diameter of 3 feet and a height of 2 feet, if the tank is
draining at 8 gal/min.
8 gal/min*231 in3/gal =1,848 in3/ (182* in2) = 1.8 in/min.
(A) 1.1 in/min *(B) 1.8 in/min (C) 2.4 in/min (D) 3.2 in/min.
(12) Calculate the water flow in gal/min, if the pipe size
is ½ inch and the velocity of the water is 6 ft/sec.
Water Flow = π(.25 in)2 * 6 ft/sec * 12 in/ft * 60 sec/min =
848.23 in3/min / 231 in3/gal = 3.672 gal/min.
*(A) 3.672 gal/min (B) 7.344 gal/min (C) 11.016 gal/min (D) 14.688 gal/min
(13) If 8 oz. of water is leaking out of a faucet in 2 hours,
How much water will leak out of the faucet in gal/day?
(8 oz./128 oz/gal / 2 hours)*24 hours/day = .75 gal/day
(A) ½ gal/day *(B) ¾ gal/day
(14)
(C) 1 gal/day (D) 1.5 gal/day
If 16 oz of water is leaking out of a faucet in 2 hours,
How much water will leak out in one month.
(Use 1 month = 30 days)
(16 oz/128 oz/gal / 2 hours) * 24 hours/day * 30 days/month
= 45 gal/month
(A) 22.5 gal/month *(B) 45 gal/month
(C) 67.5 gal/month (D) 90 gal/month
(15) Which of the following tanks would hold 40 gallons of water?
(A) A rectangular tank that is 2 ft wide by 2.5 ft long by 1 ft high.= 37.4 gal
(B) A cylindrical tank that is 1 ft in diameter and is 5 ft. high.=29.376 gal
(C) An inverted conical tank that is 5 ft high and 2 ft in diameter.=39.168gal
*(D) A cubic tank that has an edge of 1.75 ft.=40.091 gal
(16)
Jackie made a rectangular prism to hold her earrings. The net
of the rectangular prism is shown below. Use a ruler to
measure the dimensions of the prism to the nearest ¼ inch.
Which is closest to the volume of this rectangular prism?
(A) 4 in 3
*
(B) 1.2 in 3
(C) 8.5 in 3
(D) 13.5 in 3
(17) Janice uses a rectangular box to store her art supplies. The
dimensions of the rectangular box are 22.5 inches by
14 inches by 11.5 inches. V = 3,622.5 in3/1,728 in3/ft3 =
2.1 ft3
What is the volume of this box to the nearest tenth of a
cubic foot?
(A) 3622.5 ft 3
(B) 301.9 ft 3
(C) 25.2 ft 3
*(D) 2.1 ft 3
(18) Mr. Kelly’s company manufactures a cylindrical soup can
that has a diameter of 6 inches and a volume of 226 cubic
inches. If the diameter stays the same and the height is
doubled, what will happen to the can’s volume?
(A) It will remain the same.
(C) It will triple.
*(B) It will double.
(D) It will quadruple.
(19) The figure below shows a conical cup containing water. The
water depth can be represented by x, and the area of the water
surface can be represented by A. As the water depth changes,
the area of the water surface changes, as shown in the table
below. Which equation best represents the relationship
between the area of the water surface and the water depth?
Which equation best represents the relationship between the area
of the water surface and the water depth?
(A) A x – 1)2 in. 2
16
2
*(C) A x in. 2
16
r/x = 2/8
A = π ( x/4)2
(B) A x in. 2
2
(D) A xin. 2
16
A = πx2/16
x
x
r = x/4
(20) Look at the solid sphere and the cylinder containing water
shown in Figure 1.
Figure 2 shows the sphere submerged in the water inside the
cylinder.
Which is closest to the height of the water level in Figure 2?
*(A) 13 cm (B) 17 cm
(C) 15 cm
(D) 11 cm