Unit conversion with ratios Knowledge-Based Practice

Questions

1. 1.

   An industrial loom weaves fabric at a rate of 720 square inches per minute. Given that 144 square inches = 1 square foot and 60 minutes = 1 hour, what is this rate in square feet per hour using unit conversion ratios?

   • A) 5 square feet per hour
   • B) 180 square feet per hour
   • C) 300 square feet per hour
   • D) 1,728 square feet per hour
2. 2.

   An electric motor consumes energy at a rate of 540 kilojoules per hour. Given that 1 kilojoule = 1,000 joules and 1 hour = 3,600 seconds, what is this rate in joules per second using unit conversion ratios?

   • A) 0.15 joules per second
   • B) 150 joules per second
   • C) 1,944 joules per second
   • D) 9,000 joules per second
3. 3.

   A commercial printing press produces 120,000 pages per hour. Given that 1 ream = 500 pages and 1 hour = 60 minutes, what is this production rate in reams per minute using unit conversion ratios?

   • A) 14,400 reams per minute
   • B) 240 reams per minute
   • C) 2,000 reams per minute
   • D) 4 reams per minute
4. 4.

   A steel cable has a linear density of 18 pounds per yard. Given that 1 pound = 16 ounces and 1 yard = 3 feet, what is the linear density of the cable in ounces per foot using unit conversion ratios?

   • A) 6 ounces per foot
   • B) 288 ounces per foot
   • C) 864 ounces per foot
   • D) 96 ounces per foot
5. 5.

   A patient receives a continuous nutrient infusion at a rate of 1.8 grams per day. Given that 1 gram = 1,000 milligrams and 1 day = 24 hours, what is this infusion rate in milligrams per hour using unit conversion ratios?

   • A) 0.075 milligrams per hour
   • B) 43.2 milligrams per hour
   • C) 75 milligrams per hour
   • D) 43,200 milligrams per hour
6. 6.

   A specialty tea is priced at 28 dollars per pound. Given that 1 dollar = 100 cents and 1 pound = 16 ounces, what is the price of the tea in cents per ounce using unit conversion ratios?

   • A) 175 cents per ounce
   • B) 1.75 cents per ounce
   • C) 448 cents per ounce
   • D) 70 cents per ounce
7. 7.

   A research vessel measures the depth of an ocean trench as 1,500 fathoms. Given that 1 fathom = 6 feet and 3 feet = 1 yard, what is the depth of the trench in yards using unit conversion ratios?

   • A) 750 yards
   • B) 3,000 yards
   • C) 9,000 yards
   • D) 27,000 yards
8. 8.

   A roll of fabric measures 45 yards in length. Given that 1 yard = 3 feet and 1 foot = 12 inches, what is the length of the fabric in inches using unit conversion ratios?

   • A) 135 inches
   • B) 180 inches
   • C) 1,620 inches
   • D) 540 inches
9. 9.

   A mineral sample has a density of 3.2 grams per cubic centimeter. Given that 1 kilogram = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters, what is its density in kilograms per cubic meter using unit conversion ratios?

   • A) 0.0032 kilograms per cubic meter
   • B) 3,200 kilograms per cubic meter
   • C) 320 kilograms per cubic meter
   • D) 3,200,000 kilograms per cubic meter
10. 10.

    A freight shipment has a total weight of 480,000 ounces. Given that 16 ounces = 1 pound and 2,000 pounds = 1 ton, what is the weight of this shipment in tons using unit conversion ratios?

    • A) 240 tons
    • B) 30 tons
    • C) 15 tons
    • D) 7.5 tons
11. 11.

    A liquid flows at a rate of 120 drops per minute. Given that 20 drops = 1 milliliter and 60 minutes = 1 hour, what is this flow rate in milliliters per hour using unit conversion ratios?

    • A) 360 milliliters per hour
    • B) 40 milliliters per hour
    • C) 6 milliliters per hour
    • D) 0.1 milliliters per hour
12. 12.

    A container holds 3.5 gallons of liquid. Given that 1 gallon = 4 quarts and 1 quart = 2 pints, how many pints of liquid does the container hold?

    • A) 14 pints
    • B) 21 pints
    • C) 28 pints
    • D) 56 pints
13. 13.

    A patio has an area of 54 square yards. Given that 1 yard equals 3 feet, what is the area of the patio in square feet using unit conversion ratios?

    • A) 18 square feet
    • B) 162 square feet
    • C) 486 square feet
    • D) 6 square feet

Answers and step-by-step solutions appear after you finish the test.