High School

What is the weight of a 37.96-carat diamond in grams and ounces? Use the following conversions: 1 carat = 0.2 gram, 1 carat = 3.086 grains, and 1 ounce = 437.5 grains.

A. 7.592 grams, 11.40 ounces
B. 7.592 grams, 5.70 ounces
C. 7.592 grams, 3.84 ounces
D. 7.592 grams, 7.68 ounces

Answer :

Final answer:

To convert the weight of a 37.96-carat diamond to grams and ounces, you can use conversion factors. First, multiply the carat weight by 0.2 to find the weight in grams. Then, convert grams to ounces by multiplying by the conversion factor.

Explanation:

To convert carats to grams, first use the conversion factor 1 carat = 0.2 gram. Multiply the number of carats by this conversion factor:

37.96 carats x 0.2 gram/carats = 7.592 grams

To convert grams to ounces, use the conversion factor 1 ounce = 437.5 grains. First, convert grams to grains by multiplying by the conversion factor 1 gram = 15.432 grains:

7.592 grams x 15.432 grains/gram = 117.107264 grains

Then, convert grains to ounces by dividing the number of grains by the conversion factor 1 ounce = 437.5 grains:

117.107264 grains ÷ 437.5 grains/ounce = 0.267248272 ounces

Therefore, the weight of a 37.96-carat diamond is 7.592 grams and 0.267248272 ounces.

Learn more about Conversion of units here:

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