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Question 1

If a ratio is equivalent to one, so is its inverse. When multiplying by one use the ratio which correctly cancels units. Convert 51 cm to inches. (1 in = 2.54 cm) Use 3 sig. fig. for this problem.

First, study the following examples,  Explanation

Dimensional Analysis will actually save your life and grades so be sure to completely understand this topic!

51 cm   x  1 in / 2.54 cm   = 20.1 in

Question 2

Convert 848 nm to m. (1 nm = 10-9m)

(Use 3 significant figures. For scientific notation, 2,340 is inputted as 2.34e3 and 6.04x10-5 is inputed as 6.04e-5.) Explanation

848 nm  x 1 m/ 10^-9 nm = 8.48e^-7 m

Question 3

Convert 28.4 rods to ft. (1 rod = 16.5 ft) Explanation

28.4 rods * 16.5 ft / 1 rod = 469 ft

Question 4

How many mph (mi/hr) is 56.2 ft/sec? Explanation

38.3 mi/ hr  * 3600 hr/sec  * 5280 ft/mi   =  38.3 ft/sec

Question 5

Convert 1 m to feet. Hint: use the following path m --> cm --> in --> ft Explanation

1 m *  100 cm/ 1 m * 1 in/2.54 cm * 1 ft/ 12 in = 3.28 ft

Question 6

How many in3 are 469 cm3? (2.54 cm = 1 in.)
Hint given in feedback. Explanation

Hints: (1 in)3 = (2.54 cm)3

469 cm3  * 13 in3/ 2.543 cm3  = 28.6 in3

Question 7

How many pounds does 31.8 in3 of gold weigh? (The density of gold is 19.3 g/cm3, 2.54 cm = 1 in, and 454 g = 1 lb.)
Hint given in feedback.

Note these are not large volumes--a cup of water is about 30 in3. Explanation

Hints:
(1 in)3 = (2.54 cm)3
Path: in3 --> cm3 --> g --> lbs

31.8 in3 *(2.54 cm)3/ (1 in)3 * 19.3 g /1 cm3* 1 lb/ 454 g = 22.2 lb