1. While digging in your backyard, you find an old coin. The coin's mass is 26.76g and its volume of 3cm³. What is the coin made of? 2. You think you found a diamond. The crystal y... 1. While digging in your backyard, you find an old coin. The coin's mass is 26.76g and its volume of 3cm³. What is the coin made of? 2. You think you found a diamond. The crystal you found has a mass of 0.00528kg and a volume of 2cm³. Did you find gold? If you didn't, what did you find? 3. There is a block on your desk acting as a paperweight. Its measurements are 30mm by 4cm by 6cm. The block has a mass of 184.2g. What is the block made of? 4. Find the density of 2 items around the room (please write down what you used). You may choose normal or irregular objects. Make sure you use the correct method for whatever you choose to use! Read more

Steps to Solve

Here's how we can solve these density problems:

1. Calculate the density for the coin

   We know the mass and volume of the coin, so we can calculate its density using the formula:

   $density = \frac{mass}{volume}$

   $density = \frac{26.76 \text{ g}}{3 \text{ cm}^3} = 8.92 \text{ g/cm}^3$

2. Identify the material of the coin

   Compare the calculated density to the densities of the materials provided in the table.

3. Calculate the density for the crystal

   First, we need to convert the mass of the crystal from kg to g:

   $0.00528 \text{ kg} \cdot \frac{1000 \text{ g}}{1 \text{ kg}} = 5.28 \text{ g}$

   Now, calculate the density:

   $density = \frac{5.28 \text{ g}}{2 \text{ cm}^3} = 2.64 \text{ g/cm}^3$

4. Identify the material of the crystal

   Compare the calculated density to the densities of the materials provided in the table.

5. Calculate the volume of the block

   Convert the units to be the same, convert mm to cm:

   $30 \text{ mm} \cdot \frac{1 \text{ cm}}{10 \text{ mm}} = 3 \text{ cm}$

   Calculate the volume of the rectangular block:

   $volume = length \cdot width \cdot height = 3 \text{ cm} \cdot 4 \text{ cm} \cdot 6 \text{ cm} = 72 \text{ cm}^3$

6. Calculate the density of the block

   Using the given mass and calculated volume, find the density:

   $density = \frac{184.2 \text{ g}}{72 \text{ cm}^3} = 2.558 \text{ g/cm}^3 \approx 2.56 \text{ g/cm}^3$

7. Identify the material of the block Compare the calculated density to the densities of the materials provided in the table.