19.03.2023 - 12:50

Gold, one of the most sought-after metals in the world, has a density of 19.3 g/cm3. A gold nugget found in Alaska in 1998 weighs 20.17 pounds. If the price of gold is $55.99 per gram, what is the nugget worth in dollars?

Question:

Gold, one of the most sought-after metals in the world, has a density of 19.3 g/cm{eq}^3 {/eq}. A gold nugget found in Alaska in 1998 weighs 20.17 pounds. If the price of gold is $55.99 per gram, what is the nugget worth in dollars?

Answers (1)
  • ELVISS
    April 8, 2023 в 07:28

    To find the value of the gold nugget, we need to first convert its weight from pounds to grams and then use its density to calculate its volume.

    1 pound = 453.59 grams, so the weight of the gold nugget in grams is:

    20.17 pounds x 453.59 grams/pound = 9144.64 grams

    Next, we can use the density of gold to calculate the volume of the nugget:

    density = mass/volume volume = mass/density

    volume = 9144.64 grams / 19.3 g/cm³ = 474.02 cm³

    Now that we know the volume of the nugget, we can use the current price of gold ($55.99 per gram) to calculate its value:

    value = mass x price per gram

    value = 9144.64 grams x $55.99/gram = $512,460.34

    Therefore, the gold nugget is worth $512,460.34.

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