A rope has a density and thickness such that a 3.25-centimeter-long segment of it weighs 61.40 grams. there are 28.3495 grams in an ounce and 2.54 centimeters in an inch. how many ounces would a 19.45 inch length of the same rope weigh?

a. 5.10 oz

b. 11.49 oz

c. 32.92 oz

d. 53.90 oz

The answer is C. 32.92 oz.

You are given the following information:

- 3.25 cm length of rope weighs 61.40 grams

- There are 28.3495 grams in an ounce

- There are 2.54 centimeters in an inch

And you are asked:

How many ounces would a 19.45 inch length of the same rope weigh?

Solution:

First, convert the given values (length and weight of rope) into ounce and inch.

3.25 cm / 2.54 cm = 1.2795 in

61.40 grams / 28.3495 grams = 2.1658 oz

Then, divide the 19.45 given length by the inches equivalent to the centimeter measurement.

19.45 in / 1.2795 in = 15.2012

Then multiply the quotient with the ounces equivalent to the grams measurement.

15.2012 * 2.1658 = 32.92 oz