Answer :
The weight of a 35.01-carat diamond in grams and ounces
- 7.002gram
- 0.247 ounces
How to determine the weight of a 35.01-carat diamond in grams and ounces
Information given in the question include
1 carat = 0.2 gram,
1 carat = 3.086 grains,
1 ounce = 437.5 grains.
The conversion of the weight units using the given variables can bbe done as follows
1 carat = 0.2 gram
35.01-carat diamond = ?
cross multiplying gives
1 * ? = 35.01 * 0.2
? = 7.002gram
1 carat = 3.086 grains
35.01-carat diamond = ?
cross multiplying gives
1 * ? = 35.01 * 3.086
? = 108.041 grains
That is 35.01-carat diamond = 108.041 grains
1 ounce = 437.5 grains
? = 108.041 grains
cross multiplying gives
437.5 * ? = 108.041 * 1
? = 108.041 /437.5
? = 0.247 ounces
Learn more on conversion of diamond weights at:
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"The weight of a 35.01-carat diamond in grams is 7.00 grams, and in ounces, it is approximately 0.25 ounces.
To find the weight of the diamond in grams, we use the conversion factor that 1 carat is equal to 0.2 grams. Therefore, for a 35.01-carat diamond:
[tex]\[ \text{Weight in grams} = 35.01 \text{ carats} \times 0.2 \frac{\text{grams}}{\text{carat}} \][/tex]
[tex]\[ \text{Weight in grams} = 7.002 \text{ grams} \][/tex]
Rounded to two decimal places, the weight in grams is 7.00 grams.
Next, to find the weight in ounces, we first convert the weight to grains using the conversion factor that 1 carat is equal to 3.086 grains.
Then we convert grains to ounces using the conversion factor that 1 ounce is equal to 437.5 grains.
[tex]\[ \text{Weight in grains} = 108.2986 \text{ grains} \][/tex]
Now, convert grains to ounces:
[tex]\[ \text{Weight in ounces} \approx 0.2475 \text{ ounces} \][/tex]
Rounded to two decimal places, the weight in ounces is approximately 0.25 ounces."
