An 8 foot by 29 m by 35.7m storage room will hold m^3 of material. John\'s car w
ID: 284028 • Letter: A
Question
An 8 foot by 29 m by 35.7m storage room will hold m^3 of material. John's car weighs 1.2 tons (= U.S. tons or short tons). He adds an air conditioner to it that weighs 15 pounds. What is the total weight of the car in kg. Answer: kg. 1.8 inches of rain fell on a watershed that was 12 km^2 in size. How many gallons of rain fell on the entire watershed? Answer, using scientific notation: gal. A small diesel engine uses 0.2 gal/hour running at a constant rpm. How many hours can the engine run on 89 liters of fuel? Answer:. A small town has 1558 people, and an area of 123.5 sq. miles. What is the density of the population (i.e. people/km^2)? Answer: people/km^2 An object moves at the speed of 36 cm/sec. How many seconds will it take to cover 1.04 m? Answer: sec. This Workbook Assignment has 27 questions, and requires 32 answers. In order to get 95 % of the answers correct in order to get credit for this exercise, how many answers will you have to answer correctly? answers.Explanation / Answer
21. This question is related to volume calculation and unit conversion. Volume of the room is length multiplied by width by height. All the units of the dimensions should be same. In this case one dimension is in foot and the remaining in meters. So we have to convert 8 foot to meters.
One foot is 0.3048 meters, there fore 8 foot = 8 X 0.3m
= 2.4m
Thus volume of material the store room can hold = 2.4m X 29m X 35.7m
= 2484.72 m3
22.In this question the weights are in different units.
Johs's car weighs 1.2 U.S or Short tons, on short ton is equal to 907.18 kg.
There fore 1.2 short tons is equal to 1.2 X 907.18 Kg
=1088.6 kg
Weight of air conditioner is 15 pounds, one pound is equal to 0.45 kg
Therefore 15 pounds is equal to 15 X 0.45 Kg
= 6.75 kg
Total weight of the car = weight of the car + weight of air conditioner
= 1088.6 kg + 6.75 kg
= 1095.35 Kg.
23.In this question we have to calculate the volume of the rain that fell in a given area i.e 12 Km2
To answer this question, we have to first convert inches and Km2 to meters then the derived volume to gallons using scientific notations.Scientific notation is writing small and big numbers in a simple form using power of 10.
One inch is equal to 2.5 X 10-2 meters; therefore 1.8 inches is equal to 1.8 X 2.5 x 10-2
That is equal to 4.5 x 10-2 meters of rain.
One Km2 is equal to 1000m X 1000m; therefore 12 Km2 is equal to 12 X 1000m X 1000m
That is equal to 12 X 106 m2
The volume of rain that fell in the water shed is equal to 4.5 x 10-2 m of rain multiplied by 12 X 106 m2 water shed area. Which is equal to 54 X 104 m3.
Final part of the solution is converting the above calculated volume to gallons.
One m3 is equal to which is equal to 264 gallons.
Therefore 54 X 104 m3 is equal to (54 X 104) X 264 gallons
= 142.56 X 106
24.The diesel engine uses 0.2 gallons of fuel per hour.
That is equal to 0.2 X 3.78 L per hour (since one gallon is equal to 3.78L)
=0.75 L per hour
Therefore, with 89 liters of fuel the engine can run for 89 liters divided by 0.75 liters per hour.
= 89 liters X hour.
0.75 liters
=118.66 hours
= 118 hours and 40 minutes. (0.66 hours = 39.6 min)
25. Density of population is people per Km2. The area in the question is given in square miles.
One square mile is equal to 2.59 Km2; Therefore 123.5 sq.miles is equal to
=123.5 X 2.59 Km2
=319.8 Km2
Thus density of population in the town is 1558 people per 319.8 Km2
Which is 1558 people divided by 319.8 Km2 = 4.87 or 5 people/ Km2
26. The time taken by a moving object to travel certain distance with a given speed can be obtained by multiplying speed with distance.
In this problem the distance is given in meters and speed in cm/sec. The simple way to solve this problem is by converting the distance to centimeters and then multiplying with speed.
We know one meter is equal to 100 cm, therefore 1.04 m is equal to
=1.04 X 100
= 104cm
The speed of the object is = 36cm/sec
Time taken to cover 104cm = 104 cm X sec
36 cm
=2.88 sec
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