Question

The Star of Africa, a diamond in the royal scepter of the British crown jewels, has a mass of 530.2 carats, where 1 carat = 0.20 g. Given that 1 kg has an approximate weight of 2.21 lb, what is the weight of this diamond in pounds.

Answer 1

To calculate the weight of the diamond in pounds, you need to convert its mass from carats to grams and then from grams to pounds. The weight of the diamond in pounds is approximately 0.234 pounds.

Step-by-step explanation:

To calculate the weight of the diamond in pounds, we need to convert its mass from carats to grams, then from grams to pounds. Given that 1 carat is equal to 0.20 grams, we can calculate the weight of the diamond in grams by multiplying its mass in carats by 0.20. So, the diamond weighs 530.2 carats * 0.20 g/carat = 106.04 g.

Next, we convert the weight from grams to pounds. Since 1 gram is approximately 0.002205 pounds, we can calculate the weight of the diamond in pounds by multiplying its weight in grams by 0.002205. So, the diamond weighs 106.04 g * 0.002205 lb/g = 0.234 lb.

Therefore, the weight of the diamond in pounds is approximately 0.234 pounds.

Answer 2

What you can do is find the equivalence of 530.2carats in g using 1carat=0.20g. Remember that 1kg=1000g so you use it and 1kg=2.21lb to find it in pounds. The answer should be 2.343484 lb.
I hope this help greatly