DA Wksht 4 9413 Answers

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Name:_______ Answer Key _________

Date:________ 9/4/13 _____________

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Dimensional Analysis Wksht 4

Solve the following problems. Show ALL work. No work = No credit. All answers MUST include units. Round to the tenths place if your answer includes a decimal.

1. The moon is 384,403 km from the earth. Estimate how many quarters laid end to end it would take to reach the moon if a quarter has a diameter of 2.3 cm.

17000000000 quarters ( or may be written 1.7 x 10 10 quarters)

2. 1 milliliter of ink can print 50 pages of text. If you had 100 gallons of ink then how many pages could you print?

18950000 pages

3. A clerk can sort 375 sheets per hour. If there are 225 sheets in an inch, how long will it take her to file 125 inches of loose sheets.

75 hours

4. A baby born in the US weighs 3.295 kg according to the scale in the birthing room.

Convert this to pounds and ounces so you can tell the grandparents how much the baby weighed.

7 lbs 5 oz ( 7.3 lbs if you forgot to covert to ounces)

5. The biggest piece of fudge ever created weighed 3010 lbs. The recommended serving of fudge is 28g. How many servings did this piece of fudge have?

48863.6 servings

6. Christopher Bergland holds the world record for most distance run on a tread mill in a day. He ran 247.45 km. How many miles per hour did Chris have to run toaccomplish this?

6.41 mi/h

7. The record qualifying time for the Indy 500 is set at 37.895 seconds. If the track is2.5 miles, A) how many feet per second was the driver going? B) How many miles per hour?

A) 348.3 ft/s B) 237.5 mi/h

8. The Cullinan Diamond, the world’s largest rough gem quality diamond, weighs

621.35g. and is estimated to have a value for $400 million. How many dollars per ounce does this equal?

$18266774 / oz (if you used 454 g = 1 lb) OR $18218395 (if you used 28.3 g = 1 oz)

9. The Pacific Giant Kelp is the longest growing kelp in the world at 197 ft long. How many millimeters (mm) is this?

60045.6 mm

10. The SR-71 Blackbird is the world’s fastest jet. It flew 1806.964 mph (mi/h). How many meters per second is this?

807.6 m/s

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